Venturi for Heat Transfer
Heat pumps consume power in order to transfer heat from a source to a higher-temperature sink. This invention enables spontaneous heat transfer from a heat source to a small portion of the generally warmer working fluid that is cooled locally by the Bernoulli effect to a temperature below that of the heat source. The Bernoulli effect occurs in a Venturi shaped duct shaped to maintain attached flow. Heat-transfer efficiency is improved by restriction of the heat transfer to a small portion of the Venturi in which the flow temperature, velocity, pressure gradient and the Nusselt effect enhance heat transfer. Within this region, heat transfer is maximized by a thermally conducting grid extending across the Venturi neck.
This is a National Stage Application of PCT/US2006/024633, which claims priority to U.S. Provisional Patent Application No. 60/693,934, filed Jun. 24, 2005, now abandoned.
BACKGROUND OF THE INVENTION1. Field of the Invention
The present invention relates to heat pumps, devices that move heat from a heat source to a warmer heat sink. More specifically, it relates to Bernoulli heat pumps.
2. Discussion of Related Art
Heat engines are devices that move heat from a source to a sink. Heat engines can be divided into two fundamental classes distinguished by the direction in which heat moves. Heat spontaneously flows “downhill”, that is, toward lower temperatures. As with the flow of water, such “downhill” heat flow can be harnessed to produce mechanical work, as illustrated by internal-combustion engines, e.g. Devices that move heat “uphill”, that is, toward higher temperatures, are called heat pumps. Heat pumps necessarily consume power. Refrigerators and air conditioners are examples of heat pumps. Most heat pumps work by varying the temperature of a working fluid 1 over a range that includes the temperatures of the source and sink. In this way heat can flow spontaneously from the source into the portion of the working fluid in which the temperature is below that of the source. Similarly, heat flows spontaneously into the sink from the portion of the working fluid in which the temperature is above that of the sink. The required temperature variation of the working fluid is commonly effected by compression and expansion of the working fluid.
By contrast, Bernoulli heat pumps accomplish the required working-fluid temperature variation by converting random molecular motion (reflected in the temperature and pressure of the fluid) into directed motion (reflected in macroscopic fluid flow). (The distinction between random and directed motion is particularly clear in the statistical distribution of molecular speeds. The random motion is the width of this distribution, whereas the directed flow is the mean of the same distribution.) A fluid spontaneously converts random molecular motion into directed motion when the cross sectional area of a flow is reduced, as when the flow passes through a nozzle or Venturi. The coupled variation of the temperature, density and pressure with cross-sectional area is called the Bernoulli principle. Whereas compression consumes power, Bernoulli conversion does not. The energy-conserving character of Bernoulli conversion is the fundamental efficiency exploited by the Bernoulli heat pump.
The Bernoulli heat pump is contrasted with conventional heat pumps in
The second direct implication of
The focus of the present invention is a third aspect of
The importance of this effect is modified and amplified by four additional effects: the so-called Nusselt effect and three effects associated with the boundary layer. The Nusselt effect is the enhancement of heat transfer at a fluid-solid interface by the convection provided by fluid flow. Because the flow speed vanishes at the interface, heat transfer into the working fluid from the solid depends on thermal conduction. But, the flow of the working fluid beyond the boundary layer sweeps away (convection) heat transferred into the boundary layer by conduction. Convection is generally much more effective than conduction. At flow speeds near Mach 1, the Nusselt effect is large. For example, if the source of heat is a fluid flowing at a lower speed, then the area through which heat is transferred into the working fluid can be much smaller than the area through which heat is transferred out of the heat-source flow.
Two additional effects involve the variation of the thickness of the boundary layer along the Venturi wall. Heat transferred into the working fluid at the Venturi wall must pass through the boundary layer of the working-fluid flow. The boundary layer is the region of a fluid that is flowing adjacent to the solid-fluid interface. Because the flow speed vanishes at the interface, the speed of the working-fluid flow must change rapidly near the interface. The narrow region in which this change occurs is called the boundary layer. The temperature gradient and therefore the conductive heat transfer are significantly enhanced where the boundary layer is thin. The thickness of the boundary layer is strongly affected by the gradient of the pressure along the direction of the working-fluid flow.
The first of the two boundary-layer effects concerns the sign of the pressure gradient. It is well known that a so-called “adverse” (that is, positive) pressure gradient thickens the boundary layer. The pressure gradient is “adverse” in the diverging (diffuser) portion of the Venturi.
In the converging portion of the Venturi, where the axial pressure gradient has the favorable sign, general arguments following directly from the Navier-Stokes equations show that the thickness of the boundary layer is inversely proportional to the square root of the axial pressure gradient. The axial pressure gradient increases sharply in the region of the temperature dip. This additional thinning of the boundary layer within the region of the temperature dip represents a fourth motivation for restricting heat transfer to this region.
A fifth and final consideration affecting the efficiency of the Bernoulli heat pump is addressed by the present invention. The portion of the Venturi labeled “heat-transfer slice” in
1. The Nusselt enhancement of heat transfer through the neck portion of the Venturi boundary layer
2. Undesirable heat transfer into the dip region from elsewhere in the working-fluid flow.
3. Unfavorable sign of the axial pressure gradient in the diffuser
4. Magnitude of the favorable pressure gradient in the portion of the dip region that is within the convergent portion of the Venturi
5. Efficiency reductions due to viscous losses in the portion of the boundary layer lying outside the temperature-dip region of
We note in closing the discussion of related art that, while it is true that Bernoulli conversion is energy conserving (consumes no power), it is also true that the Bernoulli heat pump is not a perpetual-motion device. It consumes power in two ways. First, as required by the 2nd Law of Thermodynamics, when heat is added 3 to and removed 2 from the working-fluid flow at different temperatures there is a net increase in entropy that must be compensated by reversible work. This 2nd-Law effect is the reason that the “heat Out” arrows in
The present invention is a structure that exploits the “heat-transfer” section identified in
According to another aspect of the invention, the source of the heat transferred to the working fluid can be a flowing fluid, gas or liquid, or it can be non-fluid, as in the case of heat-generating electrical components. For both fluid and non-fluid heat sources, the critical requirement is a thermal conductor connecting the heat source to the narrow portion of the Venturi axis designated in
According to another aspect of the invention the power consumed is reduced by making the divergence of the diffuser very gradual, with the objective of maintaining attached flow.
According to another aspect of the invention multiple Venturis are staged to obtain either greater capacity or greater temperature difference.
According to another aspect of the invention corrugation of the Venturi wall creates multiple “heat-transfer slices” within a single Venturi.
According to another aspect of the invention, the rate of heat transfer to the working fluid can be varied continuously by variation of the flow speed through the Venturi.
According to another aspect of the invention, systems based on the heat-transfer Venturi can be open or closed. That is, systems can exhaust the working fluid to which heat has been added, or circulate a working fluid optimized for heat transfer or other properties.
According to another aspect of the invention, systems based on the heat-transfer Venturi can be used to pump heat “downhill”. That is, a heat source at a higher temperature than the working fluid when stationary will cool by conduction. Causing the working fluid to flow exploits the Nusselt effect and convection. Causing the working fluid to flow through a Venturi further enhances the cooling. Causing the working fluid to flow through a heat-transfer Venturi further enhances the cooling.
As with other heat-pump technologies, the Bernoulli heat pump can be used for the purpose of heating or cooling.
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- 1. Working fluid, the fluid to which heat is added by the heat-transfer Venturi.
- 2. Heat removed from the working fluid at the (higher) sink temperature.
- 3. Heat added to the working fluid at the (lower) source temperature.
- 4. Compressor that raises the temperature and pressure of the working fluid.
- 5. High-temperature heat exchanger which transfers heat from the working fluid to the sink.
- 6. Low-temperature heat exchanger which transfers heat to the working fluid from the source.
- 7. Expansion valve which reduces the pressure of the working fluid.
- 8. Venturi, a duct of varying cross-sectional area.
- 9. Fan/blower that maintains the working-fluid flow.
- 10. Cross-sectional portion of the Venturi where the pressure, temperature and density are low and the velocity and pressure gradient are large.
- 11. Cross-sectional area of a common “critical-flow Venturi”.
- 12. Slowly moving, relatively warm portion of working-fluid flow.
- 13. Rapidly moving, relatively cold portion of working-fluid flow.
- 14. Decelerating portion of working-fluid flow where pressure gradient is “unfavorable”.
- 15. Portion of working-fluid flow as it exits the Venturi carrying the heat added in the “heat transfer” section of the Venturi.
- 16. Venturi wall.
- 17. Heat-source fluid flowing into or out of the plane of the figure.
- 18. Thermal conductor that carries heat from the heat-source flow to the working-fluid flow.
- 19. Thermally conducting fins that transfer heat from the Venturi to the working-fluid flow.
The present invention provides an improved heat-transfer structure for use in a Bernoulli heat pump. Embodiments of the heat-transfer structure are illustrated in
The heat source shown in
The second fundamental component of this invention is the additional structures shown in the enlarged cross-sectional views of the “heat-transfer” section of the Venturi in
Another aspect of the invention is the cross-sectional shape of the thermally-conducting fins. Their cross-sectional shape is that of an airfoil, and is designed to minimize aerodynamic drag on the working-fluid flow by the fins. The normally larger component of drag, the so-called “pressure” component, is rendered negligibly small by the aerodynamic cross-sectional shape of the fins. Unlike more common airfoils our thermally conducting fins need not provide lift and need not change their angle of attack. Thus, they can be thin and oriented along streamlines of the working-fluid flow to further reduce drag. In this connection, arrays of fixed airfoils are often used to suppress turbulence in duct flow.
Another degree of design freedom with regard to the grid elements is the variation of their cross section with distance from the Venturi wall. This degree of freedom represents a tradeoff between heat conductance and structural strength. Structural strength calls for increasing area with increasing distance from the Venturi wall. Heat conductance calls for the reverse. The appropriate balance depends on the material chosen for the grid element.
As with Bernoulli heat pumps not exploiting the “heat-transfer” section, multiple heat-transfer Venturis of the present invention can be configured in parallel to achieve greater capacity or in serial to achieve higher or lower temperatures. Such configurations are illustrated in
Just as the cross section of the fin-grid can be optimized to minimize turbulence and drag on the scale of the heat-transfer section, the shape of the entire Venturi, especially the diffuser, can be independently optimized to reduce drag and therefore the power required by the blower/fan mechanism 9 to maintain the working-fluid flow. The general requirement in this context is that, in order to maintain attached flow, the expansion of the cross-sectional area in the diffuser portion of the Venturi must be very gradual. Attached flow serves to minimize the largest component of aerodynamic drag, so-called pressure drag, leaving only the smaller component associated with viscous losses. The recovery of 95% of the pressure drop required to attain Mach 1 flow has been reported.
Another design option concerns the flow speed at which the invention operates. In contrast to traditional heat pumps based on a change of phase in the working fluid, the operating conditions of Bernoulli heat pumps can be readily and continuously varied. In particular, the flow speed, and therefore the temperature, of the heat-sink flow can be varied by changing the power provided to the blower that maintains the heat-sink flow. One important implication of this degree of freedom is the inefficiency of conventional systems at startup. With Bernoulli heat pumps, including this invention, the rate of heat pumping is continuously variable, allowing startup transients and their inefficiencies to be effectively eliminated. For example, the blower maintaining the working-fluid flow can be thermostatically controlled. A second virtue of continuous variation and control is the increase in thermodynamically allowed efficiency at smaller temperature differences. (Carnot efficiency is inversely proportional to the temperature difference across which heat is pumped. Thus, the present invention offers an efficiency gain associated with longer operation over a smaller temperature difference.
Finally, we show in
Venturi: a fluid-flow duct or channel structure whose cross-sectional area varies along its axis. The variation of the cross-sectional area along the duct axis possesses at least one local minimum. Although most Venturis contain a diffuser section in which the cross-sectional area increases along the axis, we include in our definition of Venturi nozzles in which the diffuser section is either short or nonexistent. This extension thus extends the applicability of the invention to applications in which power consumption is not critical.
Working Fluid: a fluid whose temperature is varied locally so as to permit spontaneous heat flow into and out of the working fluid.
Working-fluid flow: the flow of the working fluid through the Venturi structure.
Cross section: the area inside the closed curved formed by the intersection of the Venturi surface and a plane perpendicular to the Venturi axis.
Heat-transfer section: The portion of the Venturi near its neck lying between two planes perpendicular to the Venturi axis and characterized by low temperature and high flow speed See
Fin: a structure consisting of high thermal conductivity material extending from a thermally conducting surface into a fluid flow adjacent to that surface whose objective is to increase the surface area available for heat transfer between the surface and the fluid flow, while minimizing resistance to the flow.
Diffuser: a portion of a Venturi characterized by monotonically increasing cross-sectional area along the axis and flow direction.
Having disclosed at least one embodiment of the present invention, various adaptations, modifications, additions, and improvements will be readily apparent to those of ordinary skill in the art. Such adaptations, modifications, additions and improvements are considered part of the invention which is only limited by the several claims attached hereto.
Claims
1. A solid heat-transfer Venturi duct structure capable of guiding a fluid flow, wherein
- the cross-sectional area of said duct varies along its axis and
- said variation of said cross-sectional area possesses at least one local minimum and
- the walls of said duct are thermally insulating, except
- in at least one thin, thermally conducting cross-sectional portion of said duct wall located close to said minimum-area cross section, and
- a thermal conductor connecting said thermally conducting portion of said duct wall to a heat source
2. A heat-transfer Venturi duct structure as in claim 1, comprising at least one thermally conducting fin extending from said thermally conducting portion of said duct wall into the interior of said duct structure.
3. A heat-transfer Venturi duct structure as in claim 2, wherein said fin extends across said duct
4. A heat-transfer Venturi duct structure as in claim 2, wherein multiple said thermally conducting fins form a thermally conducting grid within said thermally conducting cross-sectional portion of said duct.
5. A heat-transfer Venturi duct structure as in claim 2, wherein said fin is shaped to minimize aerodynamic drag on a fluid flowing through said heat-transfer duct structure.
6. A heat-transfer Venturi duct structure as in claim 2, wherein said fin is aligned with the stream lines of said fluid flowing through said heat-transfer duct structure for the purpose of reducing drag on said fluid flow.
7. A heat-transfer Venturi duct structure as in claim 2, wherein the cross-sectional area of said fin varies with distance from said Venturi wall.
8. A heat-transfer Venturi duct structure as in claim 1, wherein the rate of heat transfer is controlled by variation of the pressure drop across said heat-transfer duct structure.
9. A heat-transfer Venturi duct structure as in claim 1 comprising a diffuser
10. A heat-transfer Venturi duct structure as in claim 9, wherein said diffuser expands sufficiently slowly to maintain laminar flow.
11. A heat-transfer Venturi duct structure as in claim 1 wherein said duct exhausts flow into its local ambient environment.
12. A Bernoulli heat-pump system comprising
- a heat source
- a heat-transfer Venturi duct structure as in claim 1
- a thermal connection between said heat source and said thermally conducting section of said heat-transfer Venturi duct structure.
- a working-fluid flowing in said heat-transfer duct structure
- a blower mechanism that maintains said working-fluid flow through said duct structures
- a duct structure connecting said heat-transfer Venturi duct structure to said blower mechanism
13. A Bernoulli heat-pump system as in claim 12 additionally comprising
- a heat sink
- a heat exchange mechanism that transfers heat from said working-fluid flow to said heat sink
- a duct structure connecting said blower mechanism to said heat-exchange mechanism
- a duct structure connecting said heat exchange mechanism to the entrance of said heat-transfer Venturi duct structure
14. A method for transferring heat to a flow comprising the steps of
- maintaining a pressure drop that maintains a flow of a fluid through a heat transfer Venturi duct structure, as described in claim 1
- maintaining a flow of heat into at least one thermally conducting cross-sectional portion of said heat-transfer Venturi duct structure heat-transfer slice.
15. A method, as in claim 14, wherein
- the rate of heat transfer is controlled by variation of said pressure drop.
Type: Application
Filed: Jun 23, 2006
Publication Date: Jul 23, 2009
Inventors: Arthur R. Williams (Holden, MA), Charles Agosta (Harvard, MA)
Application Number: 11/993,871
International Classification: F28F 13/12 (20060101); F28F 1/10 (20060101);