1. Field of the Invention
The subject invention relates to an exhaust gas steam generation system for an automotive vehicle and the method of fabricating such a system.
2. Description of Related Art
Comfort heating systems in automotive vehicles typically include a liquid-to-air heat exchanger including a heater core located inside a heating, ventilating and air conditioning (HVAC) module, for providing heat to a passenger compartment. An engine coolant can remove approximately one third of the heat generated in an internal combustion engine, which can then be dissipated at a radiator in the front of the vehicle. During winter months, a fraction of the hot engine coolant is diverted to the heater core. Cold ambient air flowing over the heater core extracts heat from the hot engine coolant and blows it into the passenger compartment to provide heat to passengers.
In order to generate more heat for comfort heating, automotive manufacturers have developed auxiliary heaters using other sources of heat to supplement the heater core extracting heat from the engine coolant. An example of such an auxiliary heater is disclosed in U.S. Pat. No. 2,212,250 to Arthur J. Schutt. The Schutt '250 patent discloses a heater core using engine coolant as the working fluid supplemented with a “booster” heater to provide additional heat to the engine coolant when the coolant temperature is low upon initial start up. The “booster” heater includes a housing conveying exhaust gas therethrough and a plurality of U-shaped tubes conveying engine coolant therethrough, which extracts heat from the exhaust gas. When the water reaches a predetermined temperature it causes a valve to open, allowing the hot engine coolant to circulate through the heater core to provide additional heat to the engine coolant, which is used to heat the passenger compartment of the vehicle.
In recent years, internal combustion engines of automotive vehicles have become more efficient, reducing the amount of heat removed by the engine coolant and available for comfort heating. Therefore, automotive manufacturers have become more eager to use exhaust gas as an additional source of heat. In designing the exhaust gas heaters for comfort heating, certain requirements must be met. They include low pressure drop on the exhaust gas side, lest the fuel economy of the vehicle is adversely affected, and leakproofness of the heater to eliminate leakage of the toxic exhaust gas into the passenger compartment. The exhaust gas heater of the present invention meets the aforementioned essential requirements and is highly effective, compact, and durable.
The subject invention provides an exhaust gas steam generation, which in turn provides comfort heating in a motor vehicle. Also the subject invention provides a method for fabricating the exhaust gas steam generation system. The steam generation system is located between the catalytic converter and the muffler of the vehicle exhaust system and derives thermal energy from the exhaust gas flowing therethrough to generate steam. A small amount of liquid water is placed in the pipes of the steam generation system. The dry steam generated through the evaporation of the liquid water by exhaust gas in the steam generation system is directed to the heater core of the comfort heating system located in the HVAC module of the vehicle. The air flowing over the heater core extracts thermal energy from the dry steam condensing it partially to produce wet steam, which returns to the steam generation system to continue the cycle. The latent heat of condensation of dry steam in the heater core elevates the temperature of the air, which flows into the passenger compartment providing comfort.
The steam generation system comprises a housing for conveying exhaust gas therethrough. The exhaust gas is conveyed at a mean flow velocity (ve), which is determined in accordance with a velocity formula
wherein D is a predetermined diameter of the housing, {dot over (m)}e is a predetermined mass flow rate of the exhaust gas and ρe is a predetermined density of the exhaust gas. A plurality of tubes extend through the housing for conveying the steam therethrough. A number of the tubes is determined in accordance with a number formula
wherein
Δpe is a predetermined allowable pressure drop of the exhaust gas upon encountering the tubes, gc is a predetermined gravitational constant and φ is a predetermined porosity factor of the housing. Each of the tubes is defined by a tube wall having an outside diameter (do) in accordance with an outside diameter formula do=0.2129DEue5/6. The tube walls also have a projected outside area (Ao) in accordance with an outside area formula
wherein
cpe is a predetermined isobaric specific heat of the exhaust gas, {dot over (q)} is a predetermined rate of total heat transfer of the system, ke is a predetermined thermal conductivity of the exhaust gas, Pre is a predetermined Prandtl number of the exhaust gas, Te is a predetermined temperature of the exhaust gas, μe is a predetermined dynamic viscosity of the exhaust gas and Ts is a predetermined temperature of the steam. Each of the tubes have a length (l) dependent on the projected outside area (Ao) of the tubes and in accordance with a length formula
The specific dimensions of the housing and tubes, determined according to the method of the subject invention, yield a compact and high performance heater with lower pressure drop and higher heat transfer coefficient than existing exhaust gas heating systems. Some existing exhaust gas heating systems use engine coolant as the fluid to convey heat from the exhaust gas heater to the heater core. The engine coolant is easily degraded at the high temperature of the exhaust gas due to coagulation of the additives in the engine coolant resembling egg-white. By using water as the working fluid of the exhaust gas heater, rather than engine coolant, the problem of engine coolant degradation is avoided. Moreover, the high latent heat of evaporation of water (970 Btu/lb of water) reduces the amount of water required (about 4 ounces) thereby rendering the heating system compact. The reduced amount of water gives rise to superheated steam, which makes the system more efficient. The system can also include cavities in the tube walls, which are optimally sized according to the method of the subject invention to promote intense nucleate boiling and further increase the temperature of the steam in the tubes. In addition, the system is designed to prevent the exhaust gas from entering the passenger compartment, making the system safe for passengers riding in the automotive vehicle.
The specific dimensions of the housing and tubes, determined according to the method of the subject invention, yield a lower pressure drop and higher heat transfer coefficient than existing exhaust gas heating systems. By using steam as the working fluid, rather than engine coolant, the exhaust gas steam generation system of the present invention is more efficient and cost effective. The system can also include cavities in the tube walls, which are optimally sized according to the method of the subject invention to promote intense nucleate boiling and further increase the temperature of the steam in the tubes. In addition, the system is designed to prevent the exhaust gas from entering the passenger compartment, making the system safe for passengers riding in the automotive vehicle.
Advantages of the present invention will be readily appreciated as the same becomes better understood by reference to the following detailed description when considered in connection with the accompanying drawings wherein:
Referring to the Figures, an exhaust gas steam generation system for an automotive vehicle is shown. The system receives wet steam from a passenger compartment heater and exhaust gas from an internal combustion engine of the automotive vehicle. The wet steam extracts heat from the exhaust gas changing to superheated dry steam, which is used to heat the passenger compartment.
The system includes a housing (20) receiving the exhaust gas from the internal combustion engine of the motor vehicle. The housing (20) has a predetermined diameter (D) and a housing length (lh). The housing (20) typically defines a cylindrical shape disposed around a housing axis (AH). The exhaust gas flows through the housing (20) at a mean flow velocity (ve) in accordance with a velocity formula
wherein D is the diameter (D) of the housing (20), {dot over (m)}e is the mass flow rate of the exhaust gas and ρe is the density of the exhaust gas.
The exhaust gas enters the housing (20) through an exhaust inlet (22) and the exhaust gas is discharged from the housing (20) through an exhaust outlet (24). An exhaust inlet collar (26) and an exhaust outlet collar (28) typically extend cylindrically from the exhaust inlet (22) and the exhaust outlet (24). The exhaust inlet collar (26) can fixedly engage an inlet exhaust pipe extending from an engine block of the automotive vehicle for conveying exhaust gas to the housing (20). The exhaust outlet collar (28) can fixedly engage an outlet exhaust pipe to discharge the exhaust gas from the automotive vehicle.
The housing (20) also receives the wet steam from the passenger compartment heater through a wet steam inlet (30), which is typically disposed around a first axis (A1) extending transversely to the housing axis (AH). The housing (20) also includes a dry steam outlet (32), which is typically disposed around a second axis (A2) extending transversely to the housing axis (AH) for discharging the steam. The system can include a wet steam inlet manifold (34) extending radially from and in sealed engagement with the housing (20) at the wet steam inlet (30). The wet steam inlet manifold (34) can fixedly engage an inlet steam pipe extending from a passenger compartment heater. The system can also include a dry steam outlet manifold (36) extending radially from and in sealed engagement with the housing (20) at the dry steam outlet (32). The dry steam outlet manifold (36) can fixedly engage an outlet steam pipe extending to the passenger compartment of the motor vehicle.
The system includes a plurality of tubes (38) extending through the housing (20) from the wet steam inlet (30) to the dry steam outlet (32) for conveying the steam therebetween. The number of tubes (n) is determined by a number formula
wherein
Δpe is a predetermined allowable pressure drop of the exhaust gas upon encountering the tubes, gc is a predetermined gravitational constant and φ is a predetermined porosity factor of the housing (20). The allowable pressure drop (Δpe) is determined based on fuel economy considerations. In one specific embodiment, the number of tubes (38) equals twelve tubes (38), including four central tubes (38) and eight outside tubes (38) spaced about the four central tubes (38), as shown in
Each of the tubes (38) are defined by a tube wall (42) having an outside diameter (do) determined by an outside diameter formula do=0.2129DEue5/6. Each of the tube walls (42) have a projected outside area (Ao) determined by an outside area formula
wherein
cpe is a predetermined isobaric specific heat of the exhaust gas, {dot over (q)} is a predetermined rate of total heat transfer of the system, ke is a predetermined thermal conductivity of the exhaust gas, Pre is a predetermined Prandtl number of the exhaust gas, Te is a predetermined temperature of the exhaust gas, μe is a predetermined dynamic viscosity of the exhaust gas and Ts is a predetermined temperature of the steam. Each of the tubes (38) have a length () being less than the housing length (lh) and dependent on the projected outside area (Ao) and in accordance with the length formula
Each of the tube walls (42) are further defined by an interior surface (44). In the preferred embodiment, each of the interior surfaces (44) of the tube walls (42) have a plurality of cavities (46) disposed between the tube ends (40) for promoting nucleate boiling in the flow of the steam therethrough. Each of the cavities (46) have a circular periphery (48) with a cavity diameter (dc) determined by a cavity diameter formula
wherein g is a predetermined acceleration due to gravity, ρf is a predetermined density of the steam in a liquid phase, σ is a predetermined surface tension of the steam in the liquid phase, cf is a predetermined specific heat of the steam in the liquid phase, ρg is a predetermined density of the steam in a gas phase and hfg is a predetermined latent heat of condensation of the dry steam. In the preferred embodiment, the cavity diameter (dc) is between 0.250 mm and 1.250 mm.
In one embodiment, the cavities (46) define a conical shape, as shown in
In another embodiment, the cavities (46) define a semi-spherical shape, as shown in
Each of the tube walls (42) have a wall thickness (δ). The wall thickness (δ) is preferably greater than a minimum wall thickness (δmin) determined by a minimum wall thickness formula
wherein σyw is a predetermined yield strength of the material of the tubes (38) and Ps is a predetermined vapor pressure of the steam. The wall thickness (δ) is also preferably less than a maximum wall thickness (δmax) determined by a maximum wall thickness formula
In the preferred embodiment, the wall thickness (δ) is in a minimum range between 0.0250 mm and 0.125 mm and a maximum range between 0.150 mm and 0.750 mm, to achieve a high heat transfer rate and low pressure drop (Δpe) between the housing (20) and the tubes (38).
The tubes (38) can comprise one of several configurations to obtain a high heat transfer rate and low pressure drop (Δpe) between the housing (20) and the tubes (38). In one embodiment, the first axis (A1) of the wet steam inlet (30) is coaxial with the second axis (A2) of the dry steam outlet (32), as shown in
The circuitous tube axis (AT), typically includes a first section extending from the wet steam inlet (30) along and parallel to the first axis (A1) of the wet steam inlet (30), a middle section extending in the general direction of the housing axis (AH) and a second section extending to the dry steam outlet (32) along and parallel to the second axis (A2), as shown in
The housing (20), manifolds (34, 36), and tubes (38) of the system typically comprise a stainless steel material. In one embodiment, the stainless steel material is 409 stainless steel, which has been extensively used in automotive exhaust systems, such as mufflers and catalytic converters, due to its excellent hot corrosion resistance. The stainless steel material can be easily rolled, forged, or extruded. A molten glass lubricant is required when the material is extruded. The melting point of the material is from about 2700° F. to about 2790° F. The composition of the stainless steel is 0.08 wt % C, 1.0 wt % Mn, 1.0 wt % Si, 10.5-11.75 wt % Cr, 0.045 wt % P, 0.045 wt % S, and a balance of Fe.
The present invention also includes a method for fabricating an exhaust gas steam generation system for an automotive vehicle. This method first includes sizing the system according to the formulas described above. A velocity of an exhaust gas through a housing (20) is determined according to a velocity formula
as described above. Next, an Euler number (Eue) for the housing (20) is determined according to an Euler number formula
as described above. The Euler number is used to determine an outside diameter (do) of each of a plurality of tubes (38) according to an outside diameter formula do=0.2129DEue5/6. The method further comprises determining a number of tubes (n) extending through the housing (20) from a wet steam inlet (30) to a dry steam outlet (32) for conveying steam therebetween according to a number formula
wherein φ is a predetermined porosity factor of the housing (20).
Next, a dimensionless Reynolds number (Red) is determined based on the outside diameter (do) of the tubes (38) according to a Reynolds number formula
wherein μe is a predetermined dynamic viscosity of the exhaust gas. An effectiveness (ε) of the system is determined according to an effectiveness formula
as described above. A thermal size of the system represented by a number of transfer units (NTU) is determined according to a number of transfer units formula
The Reynolds number (Red), number of transfer units (NTU), and a predetermined Prandtl number (Pre) are used to determine a desired outside area (Ao) of each tube (38) according to an outside area formula
as described above. Next, a tube length () of each tube (38) is determined according to a tube length formula
In a specific embodiment, a cavity diameter (dc) for each of a plurality of cavities (46) on an interior surface (44) of each tube (38) is determined according to a cavity diameter formula
as described above. The cavity diameter (dc) is used to determine a minimum tube wall thickness (δmin) and a maximum wall thickness (δmax) of each tube (38) according to a minimum wall thickness formula
and a maximum wall thickness formula
In a one embodiment, the cavities (46) have a conical shape and a conical inside area (Aic) of the interior surface (44) of each tube (38) is determined according to a conical inside area formula
In another embodiment, the cavities (46) have a semi-spherical shape and a semi-spherical inside area (Ais) of the interior surface (44) of each tube (38) is determined according to a semi-spherical inside area formula
The method of the subject invention typically comprises physically manufacturing an exhaust gas steam generation system, sized according to the formulas described above. The method typically includes extruding a sheet of material comprising stainless steel and having a thickness greater than a minimum wall thickness (δmin) and less than a maximum wall thickness (δmax). Alternatively, the sheet of material can be manufactured by other methods. Next, cavities (46) having a cavity diameter (dc) and having an inside area (Ai) determined according to the formulas described above can be rolled into the metal sheet. The metal sheet can then be cut into a number of elongated strips being equal to a number of tubes (n) and each having a length equal to a tube length (), determined according to the formula described above. The elongated strips can have a width dependent on an outside diameter (do) of the tubes (38), determined according to the outside diameter formula described above. The width of the elongated strips can be determined by a width formula w=πdo. The elongated strips can be formed into a plurality of tubes (38) having the outside diameter (do) and tube length () determined according to the formulas described above.
The method typically includes fabricating a housing (20), which can be formed by casting or another process commonly known in the field. The housing (20) can be cast to comprise a cylindrical shape with a diameter (D) predetermined as described above, an exhaust inlet (22), an exhaust outlet (24), a wet steam inlet (30), a dry steam outlet (32), and a housing length (lh) greater than the tube length (l). The cast of the housing (20) may also include an exhaust inlet collar (26) and an exhaust outlet collar (28) extending radially around a housing axis (AH) and extending cylindrically from the housing (20). The exhaust inlet collar (26) can be fixedly engaged to an inlet exhaust pipe extending from an engine block of the automotive vehicle. The exhaust outlet collar (28) can be fixedly engaged to an outlet exhaust pipe to discharge the exhaust gas from the automotive vehicle.
The tubes (38) are then extended through the housing (20) along a tube axis (AT) from the wet steam inlet (30) to the dry steam outlet (32). The tubes (38) can be arranged in one of several configurations. The tubes (38) are typically arranged in an S-shape, as shown in
Next, a wet steam inlet manifold (34) and a dry steam outlet manifold (36) can be formed by casting the stainless steel or by another process known in the field. The manifolds (34, 36) can be sealed or welded to the housing (20). The tubes (38) can be fixedly engaged to the wet steam inlet manifold (34) and dry steam outlet manifold (36) at the tube ends (40) by welding or by another method known in the field. The wet steam inlet manifold (34) can be fixedly engaged to an inlet steam pipe extending from a heater of the automotive vehicle and the dry steam outlet manifold (36) can be fixedly engaged to an outlet steam pipe extending to a passenger compartment of the automotive vehicle.
While the invention has been described with reference to an exemplary embodiment, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the scope of the invention. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the invention without departing from the essential scope thereof. Therefore, it is intended that the invention not be limited to the particular embodiment disclosed as the best mode contemplated for carrying out this invention, but that the invention will include all embodiments falling within the scope of the appended claims.