This technology generally relates to methods and device for improving pool boiling and, more particularly, methods for at least one of improving heat transfer and increasing critical heat flux in pool boiling and apparatuses thereof.
In a cooling system with a network of multiple flow passages, a fluid used for cooling is introduced. The fluid may be single-phase liquid, gas or a two-phase liquid-vapor mixture. As the fluid flows through the network, heat transfer is by convection from the heated walls. The heat transfer rate to the fluid from the heated walls is characterized by the heat transfer coefficient. Higher heat transfer coefficients are desired for higher heat dissipation rates. Additionally, providing smaller channel internal dimensions leads to higher single phase heat transfer performance.
Employing liquid as the introduced fluid results in a higher heat transfer rate than with gas for the same flow conditions due to the higher thermal conductivity of liquids as compared to gases. To further improve this heat transfer rate and take advantage of the large latent heat of vaporizations compared to the sensible heat transfer with a few degrees temperature change, flow boiling can be employed. Heat transfer by flow boiling occurs when the liquid is forced to flow in the passages and boiling of the liquid occurs. This flow requires an external mechanism, such as a pump, to drive the liquid and vapor mixture through the passages. Due to the confined nature of the flow boiling system, sometimes backflow occurs in one or more channels causing the liquid to flow in a backward direction. This condition can lead to a critical heat flux condition at relatively low heat fluxes.
Pressure drop through a cooling system with flow boiling is also often a concern. As a result, efforts are made to reduce the pressure drop and/or external pumping power to achieve a desired cooling performance. Pressure drop also affects the saturation temperature of the liquid as it flows through the cooling system. Short passage lengths are desirable to reduce the pressure drop in a flow boiling system. However, reducing the passage length requires large number of inlets and outlets. As a result, the header design for flow boiling cooling systems can become quite complex.
In contrast, heat transfer by pool boiling occurs without any external pumping when a heated surface, which presents no enclosed channels to contain the liquid, is cooled by the liquid and boiling of the liquid occurs. When the bulk of the liquid is at its saturation temperature corresponding to the existing pressure in the liquid and boiling occurs on the heated surface, heat transfer is by saturated pool boiling mode. When the bulk of the liquid is at a temperature below the saturation temperature corresponding to the existing pressure in the liquid and boiling occurs over the heated surface, heat transfer is by subcooled pool boiling. Pool boiling covers both subcooled and saturated pool boiling. Boiling covers both pool and flow boiling.
Pool boiling can occur when nucleating bubbles are generated over the heated surface in a liquid environment, when the liquid superheat exceeds the nucleation criterion. Another method of generating nucleating bubbles is to provide localized microheaters in conjunction with a natural or artificial nucleation cavity. The heating of liquid around the cavity above the liquid saturation temperature leads to bubble nucleation when the nucleation criterion for the cavity is satisfied.
In addition to a natural convection mechanism over the portion of the heater surface that is unaffected by the nucleation activity, heat transfer in pool boiling generally occurs as a result of three mechanisms: microconvection caused by convection currents induced by a bubble; transient conduction caused by the transient heat transfer to the fresh liquid that displaces the heated liquid over the heated surface in the region of nucleating bubbles; and microlayer evaporation caused by the evaporation of a thin liquid layer that appears underneath the nucleating bubble. A significant portion of the heat transfer during pool boiling occurs due to microconvection and transient conduction modes. The heat transfer by all these mechanisms aid in transferring heat from the heater surface and evaporating liquid into the growing vapor bubbles.
Another method of heat transfer involves introducing gas bubbles (not resulting from boiling) that grow and depart in the liquid in the vicinity of a heated surface and create motion at the liquid-gas interface. However, evaporation is not the primary mechanism in this case as the temperatures are generally below the saturation temperature of the liquid at the system pressure. The absence of evaporation in these systems with introduced gas bubbles results in considerably lower heat transfer rates as compared to pool boiling. Nevertheless, the heat transfer rate in such systems is still higher than that in systems with stagnant liquids.
To enhance pool boiling, surface features protruding from a base, such as pin fins of various cross sections, offset strip fins with rectangular pin fins arranged in staggered fashion, and other fin configurations, can be employed to enhance pool boiling. Additionally, to enhance pool boiling heat transfer fins, porous surfaces and active nucleation sites formed on the heated surface can be employed.
The maximum heat that can be dissipated with boiling without causing excessive temperature rise is limited by the Critical Heat Flux (CHF). It is desirable to increase the CHF limit during boiling. This limit is also an important consideration in the design of a boiling system.
The CHF limit can be increased by changing the contact angle of the liquid-vapor interface of a growing bubble. Increasing wettability of a surface by reducing the contact angle leads to enhancement of CHF. Reducing the wettability leads to a decrease in CHF.
A method for pool boiling includes introducing a liquid into a chamber of a housing which has one or more protruding features. One or more diverters extend at least partially across the one or more protruding features in the chamber. One or more bubbles are formed in the liquid in the chamber as a result of bubble nucleation. One or more of the bubbles resulting from nucleation are diverted with the one or more diverters to generate additional localized motion of the liquid along at least one of the one or more protruding features and other surfaces in the chamber of the housing to at least one of transfer additional heat to the liquid and increase the critical heat flux limit. The motion of liquid and vapor created by the one or more diverters may increase the critical heat flux limit by allowing removal of vapor and access of liquid to regions previously occupied by vapor.
A pool boiling apparatus includes a housing with a chamber, one or more protruding features in the chamber of the housing, and one or more diverters extending at least partially across the one or more protruding features in the chamber. The chamber of the housing with the one or more protruding features and the one or more diverters is configured to form one or more bubbles as a result of boiling to transfer heat. Additionally, the chamber of the housing is configured to divert one or more of the bubbles as a result of bubble nucleation with the one or more diverters to generate additional localized motion of the liquid along at least one of the one or more protruding features and other surfaces in the chamber of the housing to at least one of transfer additional heat to the liquid and increase the critical heat flux limit. The motion of liquid and vapor created by the one or more diverters can increase the critical heat flux limit by allowing removal of vapor and access of liquid to regions previously occupied by vapor.
This technology provides more efficient and effective methods and apparatuses for at least one of improving heat transfer performance and increase critical heat flux in pool boiling. With this technology, heat can be removed more effectively from heated surfaces than with prior pool boiling systems. Additionally, this technology is superior to prior flow boiling cooling techniques because it does not require an external pumping device or a complicated input and/or exit header design to remove heat from the heat transfer surfaces. Instead, this technology utilizes nucleating bubbles and one or multiple cover element devices to control and divert the localized motion of the bubbles and liquid through the passageways formed by the surface features for effective heat transfer in the region affected by the nucleating bubbles and in a more compact and simpler heat transfer apparatus. The localized motion of liquid and vapor created by the diverters can also improve the critical heat flux limit.
This technology incorporates one or multiple diverters positioned over a chamber and features to divert liquid around one or more nucleating bubbles over the surfaces of the chamber and/or features to provide enhanced heat transfer. With this technology, fresh liquid for additional heat transfer is introduced in the regions or passageways where the diversion occurred with little resistance as a result of the diverted fluid. The diverters are designed to introduce very little resistance to fluid flow in the regions or passageways which helps in bringing the liquid into the regions or passageways especially at high heat fluxes, thereby improving Critical Heat Flux. In addition to facilitating fresh liquid entering the regions or passageways with little resistance, this technology ensures the surfaces of the one or more features and other surfaces in the chamber of the housing do not dry out or remain under dry conditions for extended time, and increase the critical heat flux. The neighboring diverters can be designed to interact with each other in directing liquid and vapor in specific directions to allow for more efficient flow of fluids through the passageways, vapor out of the passageways and liquid into the passageways. The diverters could also be designed to control vapor and liquid motion in all three dimensions by providing different shapes and profiles.
With this technology, the diverted growth and/or motion of one or more bubbles also causes enhanced microconvection over the one or more and other surfaces in the chamber of the housing and/or other features. This enhanced microconvection over the one or more and other surfaces in the chamber of the housing and/or other features leads to enhanced heat transfer. The enhanced microconvection may lead to increase of the heat transfer by other modes of heat transfer during boiling.
An exemplary pool boiling assembly 12(1) is illustrated in
Referring more specifically to
The plurality of strip fins 16(1) are located in the chamber 14(1) of the pool boiling assembly 12(1), although the chamber of the pool boiling assembly could have other numbers and types of features. (For ease of illustration only one of the plurality of strip fins in
The surfaces of the chamber 14(1) of the pool boiling assembly 12(1) and the plurality of strip fins 16(1) are formed with natural and/or artificial cavities to promote nucleation to start bubble formation, although other manners for promoting bubble formation can be used. The bubbles resulting from this nucleation induce localized movement of a liquid in the chamber 14(1) of the pool boiling assembly 12(1) without an external pumping device, although other manners for promoting pool boiling bubble formation can be used.
Six diverters 32(1) are spaced apart and extend across the chamber 14(1) of the pool boiling assembly 12(1), although other types and numbers of diverters can be used. Each end of the six diverters 32(1) is secured to the pool boiling assembly 12(1), although other manners for securing the diverters can be used. In this example, each of the diverters 32(1) has a rectangular cross-sectional shape, although the diverters could have other types of shapes and configurations as illustrated with exemplary diverters 32(4)-32(12) in
Additionally, three optional fasteners 34(1) are spaced apart, extend at least partially across, and are secured to each of the diverters 32(1) to secure the position of each of the diverters, although other types and numbers of fastening mechanisms could be used. Openings to the chamber 14(1) are defined between the diverters 32(1) and fasteners 34(1), although other types of arrangements could be used. Although not illustrated, the pool boiling assembly 12(1) could also have a containment cover spaced from and seated over the chamber 14(1) and the diverters 32(1) and fasteners 34(1) to retain the cooling liquid, in particular the vaporized liquid, in the pool boiling assembly 12(1). Additionally and also not illustrated, the pool boiling assembly 12(1) could include a condensation system to capture, condense and return any vaporized liquid to the regions 18(1) in the chamber 14(1). Additionally and also not illustrated, the pool boiling assembly 12(1) could include a means to circulate the cooling liquid into and out of the volume formed by the containment cover and the chamber 14(1). The loop could include an external heat exchanger to remove heat from the cooling fluid and to condense any vapor that leaves the volume. As discussed earlier, the cooling fluid may be single-phase liquid, gas or a two-phase liquid-vapor mixture, although other types of fluids could be used.
Referring to
A plurality of strip fins 16(2) are located in the chamber 14(2) of the pool boiling assembly 12(2), although the chamber of the pool boiling assembly could have other numbers and types of features. (For ease of illustration only one of the plurality of strip fins 16(2) in
The surfaces of the chamber 14(2) of the pool boiling assembly 12(2) and the plurality of strip fins 16(2) are formed with natural and/or artificial cavities to promote nucleation to start bubble formation, although other manners for promoting bubble formation can be used. The bubbles resulting from this nucleation induce localized movement of a liquid in the chamber 14(2) of the pool boiling assembly 12(2) without an external pumping mechanism, although other manners for promoting bubble formation can be used.
Six diverters 32(2) are spaced apart and extend across the chamber 14(2) of the pool boiling assembly 12(2), although other types and numbers of diverters can be used. Each end of the six diverters 32(2) is secured to the pool boiling assembly 12(2), although other manners for securing the diverters can be used. In this example, each of the diverters 32(2) has a rectangular cross-sectional shape, although the diverters could have other types of shapes and configurations as illustrated with exemplary diverters 32(4)-32(12) in
Additionally, three optional fasteners 34(2) are spaced apart, extend at least partially across, and are secured to each of the diverters 32(2) to secure the position of each of the diverters, although other types and numbers of fastening mechanisms could be used. Openings to the chamber 14(2) are defined between the diverters 32(2) and fasteners 34(2), although other types of arrangements could be used. Although not illustrated, the pool boiling assembly 12(2) could also have a containment cover spaced from and seated over the chamber 14(2) and the diverters 32(2) and fasteners 34(2) to retain the cooling liquid, in particular the vaporized liquid, in the pool boiling assembly 12(2). Additionally and also not illustrated, the pool boiling assembly 12(2) could include a condensation system to capture, condense and return any vaporized liquid to the regions 18(2) in the chamber 14(2). Additionally and also not illustrated, the pool boiling assembly 12(2) could include a means to circulate the cooling liquid into and out of the volume formed by the containment cover and the chamber 14(2). The loop could include an external heat exchanger to remove heat from the cooling fluid and to condense any vapor that leaves the volume.
Referring to
A plurality of pins 16(3) are located in the chamber 14(3) of the pool boiling assembly 12(3), although the chamber of the pool boiling assembly could have other numbers and types of features. The fin shown is circular in cross section, although fins could be of any constant or variable cross sections. (For ease of illustration only one of the plurality of pins in
The surfaces of the chamber 14(3) of the pool boiling assembly 12(3) and the plurality of pins 16(3) are formed with natural and/or artificial cavities to promote nucleation to start bubble formation, although other manners for promoting bubble formation can be used. The bubbles resulting from this nucleation induce localized movement of a liquid in the chamber 14(3) of the pool boiling assembly 12(3) without an external pumping device, although other manners for promoting pool boiling bubble formation can be used.
Four diverters 32(3) are spaced apart and extend across the chamber 14(3) of the pool boiling assembly 12(3), although other types and numbers of diverters can be used. Each end of the four diverters 32(3) is secured to the pool boiling assembly 12(3), although other manners for securing the diverters can be used. In this example, each of the diverters 32(3) has a rectangular cross-sectional shape, although the diverters could have other types of shapes and configurations as illustrated with exemplary diverters 32(4)-32(12) in
Additionally, one optional fastener 34(3) extends at least partially across and is secured to each of the diverters 32(3) to secure the position of each of the diverters 32(3), although other types and numbers of fastening mechanisms could be used. Openings to the chamber 14(3) are defined between the diverters 32(3) and fastener 34(3), although other types of arrangements could be used. Although not illustrated, the pool boiling assembly 12(3) could also have a containment cover spaced from and seated over the chamber 14(3) and the diverters 32(3) and fastener 34(3) to retain the cooling liquid, in particular the vaporized liquid, in the pool boiling assembly 12(3). Additionally and also not illustrated, the pool boiling assembly 12(3) could include a condensation system to capture, condense and return any vaporized liquid to the regions 18(3) in the chamber 14(3). Additionally and also not illustrated, the pool boiling assembly 12(2) could include a means to circulate the cooling liquid into and out of the volume formed by the containment cover and the chamber 14(2). The loop could include an external heat exchanger to remove heat from the cooling fluid and to condense any vapor that leaves the volume.
A method for transferring heat with pool boiling assembly 12(1) will now be described with reference to
A liquid or liquid vapor mixture is initially introduced into regions 18(1) of the chamber 14(1) of the pool boiling assembly 12(1). The liquid contacts surfaces of the plurality of strip fins 16(1) and other surfaces of the chamber 14(1) to transfer heat from the pool boiling assembly 12(1). At least portions of the surfaces of the plurality of strip fins 16(1) and/or the chamber 14(1) of the pool boiling assembly 12(1) are formed with natural and/or artificial cavities to promote nucleation. The heated surfaces of the chamber 14(1) and/or plurality of strip fins 16(1) along with the cavities trigger nucleation to start the formation of bubbles to induce localized movement of the liquid in the chamber 14(1) of the pool boiling assembly 12(1).
For example, as the introduced liquid engages with natural and/or artificial cavities in a heated surface of the pool boiling assembly 12(1) and/or the plurality of strip fins nucleation may be triggered. When nucleation is triggered, one or more bubbles, such as a bubble B shown in
As the bubble B grows as shown in
As shown in
Another method for transferring heat with pool boiling assembly 12(1) with asymmetric diverters 32(12) will now be described with reference to
When nucleation is triggered, one or more bubbles as shown in
As described earlier, this localized movement of the liquid causes more interaction and heat transfer between the liquid and surfaces of the pool boiling assembly 12(1) and/or the plurality of strip fins 16(1). In this example, heat transfer from this boiling occurs as a result of microconvection, transient conduction, and microlayer evaporation.
Accordingly, as illustrated and described with reference to the examples herein, this technology provides a more efficient and effective method and apparatus for transferring heat with pool boiling from a heated surface to an introduced fluid. With this technology, heat can be removed more effectively from heated surfaces than with prior pool boiling systems. Additionally, this technology is superior to prior flow boiling cooling techniques because it does not require an external fluid pumping device or complicated fluid input header designs. Instead, this technology utilizes nucleating bubbles and one or multiple cover element devices to control and divert the localized motion of the bubbles, liquid-vapor interfaces and liquid through the passageways for effective heat transfer and in a more compact and simpler heat transfer apparatus. The efficient movement of vapor and liquid allows for dissipating larger heat fluxes and enhances the heat transfer rate for a given wall superheat and also increases the critical heat flux as compared to prior pool boiling and flow boiling systems.
The disclosure describes a heat transfer enhancement technique in pool boiling wherein a liquid boils on a heated surface. In an embodiment, a manifold block with taper is used on the heater surface to create a tapered microgap in which the nucleated bubbles expand and create a flow of liquid from the bulk into the microgap, and removal of the liquid and vapor from the microgap into the bulk. This arrangement can be used in a number of pool boiling applications such as vapor chambers, thermosiphon loops, reboilers, and electronic chip coolers.
A manifold block is placed on a heater substrate by creating a small gap between the heater substrate and the manifold block. The heater substrate is a plain surface. It may be an enhanced surface with different types of protruding features. This gap is referred to here as the microgap. When a manifold block is placed on the heat transfer plain surface, the microgap is measured as the distance between the plain surface and the manifold block, and in the case of an enhanced surface, the microgap is measured as the distance between the top of the protruding feature and the manifold block, at a given cross section. When the manifold block is placed over a heater substrate in a pool boiling system, liquid occupies this microgap and bubbles are formed on the heater substrate in the microgap. A taper is introduced in the manifold block surface facing the heater substrate, thereby creating an increasing cross-sectional area of the microgap in the direction of the increasing taper. The two sides of the microgap at the beginning and end sections are in fluid communication with the bulk liquid. The bubbles nucleating over the heater substrate in the tapered microgap region grow and expand in a preferential direction towards the increasing cross-sectional area of the microgap due to the taper. A tapered manifold performs as and can be considered a bubble diverter.
The bubbles growing and expanding in the tapered microgap push the liquid and vapor in front of the bubble out of the microgap into the bulk liquid. The bubble also travels in the same direction of the increasing taper and causes liquid behind it to flow in the same direction. The liquid from the bulk is sucked into the microgap region following the bubble moving in the direction of the increasing taper.
The substrate can be a plain surface or a surface with any protruding features, including but not limited to, roughness, fins, microchannels, porous coating, features with different surface energies, etc.
The bubble movement in the increasing flow cross-sectional area direction of the microgap causes removal of the vapor and liquid from the microgap region and liquid resupply from the bulk in the microgap over the heated substrate. The continuous effective vapor removal and surface rewetting leads to enhanced heat transfer in pool boiling.
The width of the microgap introduces three-dimensional effects. The expanding bubbles may tend to grow laterally in the direction normal to the taper to some extent. However, the overall effect of the expanding bubble is to create a liquid and liquid plus vapor flow in the increasing taper direction in the microgap. To improve the bubble pumping action in one of the embodiments, whereas the liquid enters the inlet section and liquid and vapor exit the outlet sections, the other remaining faces of the microgap may be open for fluid communication of the fluid in the microgap with the bulk liquid or may be closed to direct the flow in the microgap from the inlet section to outlet section. The features to provide this closing feature may be incorporated in the manifold or on the heater surface.
For larger heater substrates, two adjacent tapered manifolds may be combined to provide a single liquid inlet port to the microgap region from the bulk liquid. This configuration is referred as dual taper. Similarly, two adjacent tapered manifolds may be combined to provide a single liquid and vapor outlet port from the microgap towards the bulk liquid. The pool boiling system can include single taper, dual taper, or multiple dual tapers, suitably combined to facilitate efficient liquid inlet to the tapered microgap region and efficient liquid and vapor removal from the microgap region based on the size, performance or other system considerations.
The expanding bubble in the increasing taper direction provides a force, called here as the expansion force, that is used in overcoming the flow resistance, which is the frictional resistance and the inertia of the flow of both liquid and vapor, in the microgap. The microgap height and the taper angle where the bubble is nucleated influence the magnitude of the expansion force. For this force to be effective, the microgap has to be small enough to contain the bubble and provide the squeezing action in the desired flow direction, which is in the same direction as the increasing taper. At the beginning of the taper, the initial microgap height should be small enough to provide this squeezing action. The growth rate of the bubble depends on the heat flux employed. The functioning of the microgap thus becomes more efficient in terms of expansion force as the heat flux increases. This provides a mechanism which is able to facilitate heat dissipation as the heat flux increases. The region where bubble squeezing action occurs is where the expansion force is experienced. As the microgap height increases in the taper direction, at some point, the bubbles may depart from the heater surface and flow in the microgap without providing the squeezing action. The increasing area will provide pressure recovery effect; the squeezing effect provides further force to move the bubble interface and the fluid in the desired flow direction. It is desirable to provide the outlet port close to this location since no significant expansion force will be generated while the bubble is flowing freely in the microgap, although it might still be expanding due to evaporation from the bubble interface. Effectively the expansion force will be reduced as the microgap height increases beyond a certain limit depending on the bubble size. A certain additional length of the microgap may be present beyond the point where the squeezing action is not effective in generating the expansion force since the expansion force generated in the earlier region where squeezing was effective may be able to overcome the additional flow resistance.
The height of the microgap in the inlet section, the height of the microgap in the outlet section and the manifold taper angle are important considerations. They together also define the length of the microgap in the flow direction. Since the squeezing action of the bubbles provides a pumping action, it is possible to include a certain length of constant microgap height near the inlet section before introducing the taper. Similarly, it is possible to incorporate a constant microgap height before the outlet section. Similarly a constant height section may be incorporated after the inlet section. The flow rates would be reduced in these cases due to increased flow resistance, but may still be enough to provide the desired heat transfer enhancement. The constant height may be replaced by a varying height at a different taper angle and the expansion force will change accordingly in this region and provide different level of pumping action. The inlet and outlet sections and the inlet and outlet ports may be further contoured to reduce the flow resistance.
The tapered surface of the manifold may have any profile such as curved, stepped, multiple tapers, multiple profiles or any other configuration.
The liquid is pumped into the microgap region due to bubble expansion, thus effectively transforming the pool boiling system into a configuration similar to a local passive flow boiling system but without using any external pump. The motion of liquid and the vapor thus created by the expanding bubbles enhances at least one of the critical heat flux and the heat transfer coefficient.
The tapered manifold configurations can be designed to accommodate different heater sizes and shapes. For heaters that are wider than the manifold length desired to provide certain level of pumping at a desired heat flux, multiple manifold blocks may be employed.
The width of the microgap is also an important consideration. A single width microgap covers the entire heater in one embodiment. To reduce the lateral effects of bubble growth and flow escaping from the sides, separators may be introduced in the microgap that limit the width of each microgap section. The separators may be built in the manifold or may be provided separately by the extensions on the heater substrate or an additional fixture. By avoiding fluid communication between two adjacent microgap sections separated by a separator, the fluid flow stability over the evaporator surface is improved. This arrangement avoids local fluid circulation or stagnant regions and stabilizing the flow and improving the heat transfer performance.
The heater surface may be flat or curved. The heater surface orientation may be different from the horizontal. The flow direction in the microgap may be unidirectional, curved or multidirectional. This technique may be applied on an external tubular surface with taper either in the longitudinal, axial or any other direction. It may be applied to the inside surface of a tube as well.
Multiple manifold blocks may be placed adjacent to each other such that the inlets or outlets of the adjacent manifold covers could be merged allowing scaling of the evaporator with multiple tapered microgaps. The width of the microgap can vary from 200 micrometers to the entire width of the heater. A preferred range for the width is from 1 mm to 20 mm. Another preferred range is from 5 mm to 100 mm. Even larger widths may be used. The width of the inlet and outlet sections may be different and may vary from 200 microns to 100 mm. The flow separators, running along the flow direction and covering partial or the entire length of the microgap, may be incorporated at widths of 100 microns to 50 mm. Multiple separators may be placed in the microgap. Microgaps may be placed, along with their manifolds, adjacent to each other laterally so that they cover additional width of the heater surface. Any combination of individual microgap, manifold and separator arrangement is covered here to provide at least one of the flow stability, heat transfer enhancement, and operational considerations to make the system work properly to provide the desired heat transfer performance. Multiple manifolds in different arrangements may be incorporated to cause the desired effect of removing the bubbles and introducing liquid so as to enhance the heat transfer performance through increasing at least one of the critical heat flux or heat transfer coefficient.
The heater surface may be plain or an enhanced structure with different protruding features. It may consist of microchannels 110 aligned along the flow direction of the fluid as shown in
The microgap heights and taper angles are important consideration. The microgap heights may be from 10 micrometers to 10 mm or larger. The taper angle may vary from 1 degree to 50 degrees. A preferred range is from 3 degrees to 30 degrees. These parameters are adjusted to provide a pumping action from expanding bubbles at a given heat flux. At lower heat fluxes, the bubbles may not be expanding rapidly, thereby requiring a smaller taper angle. At higher heat fluxes, use of a higher taper angle may be desirable as it will provide the bubble squeezing action during the corresponding rapid bubble growth and expansion.
The dimension of the common liquid inlet and liquid and vapor outlet ports are also important considerations. The slots may be of widths ranging from 10 micrometers to 10 mm, or preferably in the 500 micrometers to 3 mm range. The slots may be continuous or discontinuous of certain lengths normal to flow direction in the microgap. The slots may be replaced with holes or other types of openings. The microgap region may be circular in other embodiments.
The manifold surface facing the bulk liquid may be contoured to provide smooth entry of the liquid into the inlet ports. The inlet and outlet ports and the manifolds may be appropriately contoured to reduce the flow resistance to the flowing fluids.
The pool boiling experimental study was conducted using a dual taper configuration as shown in
The heat flux dissipated was plotted against wall superheat as shown in
The heat transfer coefficient (HTC) was plotted against heat flux as shown in
A dual taper design with pool boiling is employed in a thermosiphon loop used in cooling of a server in data center application.
A dual taper is design is employed in a vapor chamber for computer chip cooling application.
Geometric Considerations
The taper angle and the microgap are important geometric parameters need to be considered to design a boiling system using tapered manifold. The following theroretical approach can be used to estimate the heat transfer coefficient of boiling system and evaluate the efficiency of heat transfer.
To estimate the heat transfer coefficient, Kandlikar's flow boiling correlation is used. Mass flow rate in the correlation is calculated using the pressure drop equation along the flow length.
The following equation (1) shows the relation between exit quality (x), heat flux (q″), latent heat of vaporization (hfg), surface area of the heated substrate (A), and liquid mass flow rate ({dot over (m)})
The two phase viscosity (μtp) can be calculated using equation (2), where μg is vapor viscosity and μf is liquid viscosity.
The two pressure drops components in the system are due to friction, and momentum change during phase change. The following integrated equation (3) with friction and momentum components can be used to estimate the pressure drop.
vf is the specific volume of the liquid, vfg is the difference in the specific volume of saturated liquid and vapor, G is the mass flux and fTP is the two phase friction factor, dz is the element along flow length, Ltp is the total two phase flow length, Dh is the hydraulic diameter. In the equation (3), the two-phase friction factor (fTP) can be calculated using the following equation (4),
A tapered manifold is used for pressure recovery. The pressure recovery can be calculated using the following equation (5)
In the above equation (5), dA/dz term represents the change in cross sectional area due to taper and is dependent on the taper angle. The pressure drop (calculated using equation 3) is equal to the pressure recovered due to taper. This gives the mass flow rate of liquid ({dot over (m)}).
The two phase heat transfer coefficient (hTP) can be calculated using Kandlikar's correlation (S. G. Kandlikar; A General Correlation for Saturated Two-Phase Flow Boiling Heat Transfer Inside Horizontal and Vertical Tubes, 1990) as shown in equation (6)
Co is the convection number, Bo is the boiling number, Frlo is the Froude number, Ffl is the fluid dependent parameter, and C1-C5 are the constants, and hl is the single phase liquid only heat transfer coefficient, which can be calculated using the following equation (7)
hl=0.023Rel0.8Prl0.4(kl/D) (7)
For two phase flow in narrow channels, other appropriate equations can be used in place of Kandlikar correlation, such as Kandlikar and Balasubramanian (S. G Kandlikar, P Balasubramanian; An Extension of the Flow Boiling Correlation to Transition, Laminar, and Deep Laminar Flows in Minichannels and Microchannels, 2010).
The tapered manifold design can be optimized by evaluating the heat transfer coefficient for different geometric parameters. The aim is to maximize the heat transfer coefficient for any heat transfer system. The exit quality is preferred to be less than 0.8 and even more preferred to be less than 0.5 for safe operations.
Having thus described the basic concept of the invention, it will be rather apparent to those skilled in the art that the foregoing detailed disclosure is intended to be presented by way of example only, and is not limiting. Various alterations, improvements, and modifications will occur and are intended to those skilled in the art, though not expressly stated herein. These alterations, improvements, and modifications are intended to be suggested hereby, and are within the spirit and scope of the invention. Additionally, the recited order of processing elements or sequences, or the use of numbers, letters, or other designations therefore, is not intended to limit the claimed processes to any order except as may be specified in the claims. Accordingly, the invention is limited only by the following claims and equivalents thereto.
This application claims the benefit of the filing date of U.S. Provisional Patent Application No. 62/683,316, filed Jun. 11, 2018, which is hereby incorporated by reference in its entirety and is a continuation-in-part of U.S. patent application Ser. No. 12/925,584, filed Oct. 25, 2010, which is hereby incorporated by reference in its entirety.
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Number | Date | Country | |
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Parent | 12925584 | Oct 2010 | US |
Child | 16437171 | US |