This invention relates to a nanostructured micro heat pipe, and more particularly to a method and system for designing and fabricating a nanostructured wick that is made using low-cost manufacturing techniques in the field of heat pipe thermal manufacturing.
Thermal management is one of the critical issues in packaging of modern microelectronic processors. The increasing integration of logic and memory onto a single processor poses two challenges, namely: (1) the total power dissipation from a single processor is about 100 W, which produces an average heat flux of about 100 W/cm2; and (2) the peak power densities can increase up to 500-1000 W/cm2 in the future. To dissipate this power and power density with a resistance at less than 0.5 K/W requires innovative solutions. The use of large heat sinks are precluded in many applications that rely on small volume and footprints for packaging, especially in devices having computer processors, and portable devices having microprocessors, such as personal digital assistants (usually abbreviated to PDAs), or other suitable handheld devices, and cell phones. In addition, for such applications, the demand performance-cost ratio of a thermal management solution is steadily increasing.
It has also becoming increasingly clear that single phase gas convective heat transfer is unlikely to be an adequate solution for such higher heat fluxes, especially when the requirement is for small volume solutions. In addition, single-phase liquid microchannel cooling is a potential solution for the average heat flux of 100 W/cm2, but cannot address the peak fluxes of 500-1000 W/cm2. Furthermore, pumping remains a major bottleneck for reliability of microchannel cooling.
Alternatively, the latent heat of vaporization makes phase heat transfer an ideal choice for dissipating such high fluxes. However, two-phase convective cooling in microchannels in fraught with difficulties due to vapor-liquid instabilities. The only likely candidate that utilizes the latent heat of vaporization and requires no external power is the heat pipe. It is, therefore, not surprising that heat pipes have found use in most laptop thermal management.
In accordance with one embodiment, a heat pipe, comprises: a chamber; a wick in the chamber, a heat sink adjacent to a first portion of the wick; and a heat source adjacent to a second portion of the wick, wherein the wick is configured such that a gas condenses at the first portion of the wick and a liquid evaporates at the second portion of the wick, wherein fluid moves from the first portion of the wick to the second portion of the wick, and wherein the wick comprises nanostructures having a differentially-spaced apart gradient along the length of the wick so as to promote capillary fluid flow therealong.
In accordance with another embodiment, a heat dissipation system comprises: a chamber; a heat sink; a heat source; and a nanostructure array extending from the heat source.
In accordance with a further embodiment, a nanostructured composite wick comprises: a channel; and a plurality of nanostructures, wherein the nanostructures have a differentially-spaced apart gradient along the length of the channel so as to promote capillary fluid flow therealong.
Typically, heat pipes 10 use a porous wick 30 made by sintering copper (Cu) particles, wherein, the pore sizes, (r) are generally 10-20 μm in size. In addition, assuming water is the working substance or fluid 60, and given that the surface tension of water is 0.07 N/m, the capillary pressure that such pore sizes (r) can generate is about Pc=2σ/r=14 kPa. However, the difference in capillary pressure between the wick region and the condensing region drives the flow. Therefore, one would grade the pore sizes in a heat pipe 10, i.e., smallest pores near the evaporator (heat source 50) and the largest pores near the condenser (heat sink 40). However, most heat pipes 10 usually do not employ graded pore sizes along the length of the heat pipes 10, although companies, such as Thermacore, have proposed such designs.
In addition, despite the use of copper (Cu), the sintered porous heat pipes 10 pose significant thermal resistance due to the presence of multiple interfaces in the heat flow path. It can also be appreciated that a reduction of the thermal resistance due to the presence of multiple interfaces can play a significant role in the overall thermal performance.
As shown in
As shown in
It can be appreciated that the copper (Cu) nanowires 100 serve two purposes, namely: (1) as fins for efficient heat conduction with low thermal resistance between the heat pipe surface to liquid, and (2) for creating high capillary pressure gradients for increased mass flow. In addition, the capillary pressure difference can be generated by modulating the inter-nanowire 100 spacing along the length of the heat pipe 10, and by controlling the anodization conditions. For example, nanowire 100 spacing of 20-500 nm can be designed, and assuming water as the working fluid, the corresponding capillary pressure can range from about 0.1 to 1 Mpa. It can be appreciated that the method as described above can produce a low-cost manufacturing process, which allows one to create a capillary pressure gradient from 0.1 to 1 Mpa over a 1 cm length, which is several orders of magnitude higher than what is currently used.
Alternatively, in another embodiment, microchannels 120 can be fabricated using a transport liquid 130.
It can be appreciated that to enhance the performance of the heat pipe 10, an increase in mass flow is critical since the heat flow rate is related to the mass flow as {dot over (Q)}={dot over (m)}maxhfg. Considering limitations due to wicking, the pressure drop due to a capillary force can be expressed is:
wherein an average pressure drop in the big channel based on the Jeffrey-Hamel flow is,
where ρ, μ are density and viscosity respectively. H is height of the channel. Pressure drop in the nanowire arrays 110, i.e. the small-angle-channel, is,
where h is height of the nanowires 100. Assuming the pressure drop in the channel is the same as the one in the nanowire arrays 110,
Let Φ be a filling factor and n be the number of small-angle-channels, i.e. nanowire arrays 110,
αφ=βn
Total mass flow rate in the nanostructured composite wick, mc, is
Now, the capillary limitation, can be written as
where σ is surface tension. The capillary limitation of a homogenous channel can be written as,
Finally, ratio between mass flow of the nanostructured composite wick 30 and that of the homogenous channel is:
As long as height of the nanowires 100 is much shorter than that of the channel (h<<H), the mass flow of the nanostructured composite wick 30 is always greater than that of the homogeneous channel. In other words, height, H, and width, α, of the channel 240 should be large for a small liquid pressure drop and distance between nanowires 100 should be small (small β) for a large capillary force. For example, if the angle, α, is 20 degrees and a mean spacing between nanowires 100, 2βA is approximately 200 nm, where A is around 0.5 mm (a radius of the hotspot 230), then, β is approximately 0.01 degrees, so the resulting enhancement is around 200.
where θe is the equilibrium contact angle of the liquid drop on a flat surface made of the surface material. To enhance the contact angle, it can be appreciated that it is preferably that the microchannel 240 includes:
1. a large h/a
2. a small 2βA/a
In addition, as our previous calculation suggests:
3. a small 2βA is preferred for large capillary force.
4. a small h is preferential based on the equation for the ratio between mass flow of the nanostructured composite wick 30 and the that of the homogeneous channel 240.
In addition, it can be appreciated that in order to have a large h/a with a small h, the diameter of the nanostructure 70 or nanowire 100 in
Usually, the thickness of the silicon (Si) substrate 260 is around 500 μm, however, it can be appreciated that about 100 μm is typically etched away for vapor flow.
This assumes steady-state operation. The liquid level is preferably thinner, which provides a small thermal resistance. At t=0, the water level is expected to be higher than 20 μm.
R4 represents thickness of the Si layer. Here, we assume that channel height of the microchannel is around 400 μm. So, the thickness of the Si layer is around 100 μm.
This heat transfer coefficient is based on our calculation. The thickness of channel 240 and wall is set to 10 μm and 10 μm respectively.
As shown in Table 5, the biggest resistance comes from the silicon (Si) substrate 260. Therefore, it can be appreciated that the silicon (Si) substrate 260 can be replaced with a copper (Cu) plate or substrate. The overall thermal resistance calculation for a copper plate or substrate and a hotspot adaptive thermal spreader (HATS) is shown in Table 6.
As shown in Table 5 and Table 6, it can be appreciated that a reduction in the thermal resistance can be achieved by replacing the silicon (Si) HATS 200 with a copper (Cu) HATS 200. It can be appreciated that in order to achieve a copper (Cu) HATS, it is necessary to fabricate the growing copper (Cu) nanowires on a copper (Cu) plate. In accordance with one embodiment, a glancing angle deposition (GLAD) technique 300 as shown in
While this invention has been described with reference to the preferred embodiment described above, it will be appreciated that the configuration of this invention can be varied and that the scope of this invention is defined by the following claims.
This is a 371 application of International Application No. PCT/US2006/031196 filed Aug. 9, 2006, which claims priority to U.S. Provisional Application Ser. No. 60/706,578, filed Aug. 9, 2005, all of which are incorporated herein by reference.
The present invention was made with Government support under Grant (Contract) No. R21 CA103071 awarded by the National Institutes of Health/National Cancer Institute. The United States Government has certain rights to this invention.
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/US06/31196 | 8/9/2006 | WO | 00 | 9/19/2008 |
Number | Date | Country | |
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60706578 | Aug 2005 | US |