Method and apparatus for control of fluid temperature and flow
Materials, components, and methods consistent with the present invention are directed to the fabrication and use of micro-scale channels with a fluid, where the temperature and flow of the fluid is controlled through the geometry of the micro-scale channel and the configuration of at least a portion of the wall of the micro-scale channel and the constituent particles that make up the fluid. Moreover, the wall of the micro-scale channel and the constituent particles are configured such that collisions between the constituent particles and the wall are substantially specular.
1. A system for cooling comprising:
a micro channel comprising a specular wall portion, an inflow opening, and an outflow opening; and
a gas comprising a constituent particle, the gas being induced to flow through the micro channel through operation of a pressure differential between a first pressure and a second pressure, the first pressure of the gas proximal to the inflow opening being atmospheric pressure;
wherein the second pressure of the gas proximal to the outflow opening is less than the first pressure;
wherein the micro channel is configured to accommodate a flow of the gas from the inflow opening to the outflow opening in a first direction substantially perpendicular to a cross section of the micro channel;
wherein the inflow opening has a first cross section area and the outflow opening has a second cross section area substantially different from the first cross section area;
wherein the first cross section area has a value in a first range of about 0.01×10 −12 m 2 to 500×10 −12 m 2 ;
wherein the second cross section area has a value in a second range of about 0.1×10 −12 m 2 to 50,000×10 −12 m 2 ; and
wherein the specular wall portion and the constituent particle are configured such that a velocity component of the constituent particle parallel to the specular wall portion before a collision between the constituent particle and the specular wall portion has approximately the same value after the collision and further configured such that energy transfer between the specular wall portion and the constituent particle associated with the cooling of the specular wall portion occurs through an increase in a velocity component of the constituent particle perpendicular to the specular wall portion.
2. The system of claim 1 wherein at least a portion of the cross section of the micro channel varies as a function of length in the first direction between the inflow opening and the outflow opening.
3. The system of claim 2 wherein the variation in the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially linear and substantially increasing.
4. The system of claim 2 wherein the variation in the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially abrupt in a region proximal to the inflow opening such that a wall of the micro channel in the region proximal to the inflow opening extends in a direction substantially perpendicular to the first direction, and further so that the gas is accelerated to at least sonic speed in the region proximal to the inflow opening;
wherein the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially constant between the region proximal to the inflow opening and the outflow opening; and
wherein the cross section of the micro channel between the region proximal to the inflow opening and the outflow opening is greater than the cross section of the micro channel in the region proximal to the inflow opening.
5. The system of claim 1 wherein the second pressure of the gas proximal to the outflow opening is substantially less than atmospheric; and
wherein a linear distance between the inflow opening and the outflow opening along a length of the micro channel has a value in a range of about 0.01 mm to 10 m.
6. A method for cooling, comprising:
providing a micro channel comprising a surface, an inflow opening, and an outflow opening, wherein the surface comprises a specular wall portion, and wherein the inflow opening has a first cross section area and the outflow opening has a second cross section area substantially different from the first cross section area;
providing a gas comprising a constituent particle;
inducing a flow of the gas from the inflow opening to the outflow opening in a first direction substantially perpendicular to a cross section of the micro channel through operation of a pressure differential between a first pressure and a second pressure, the first pressure of the gas proximal to the inflow opening being atmospheric;
wherein the second pressure of the gas proximal to the outflow opening is less than the first pressure;
wherein the first cross section area has a value in a first range of about 0.01×10 −12 m 2 to 500×10 −12 m 2 ;
wherein the second cross section area has a value in a second range of about 0.1×10 −12 m 2 to 50,000×10 −12 m 2 ; and
wherein the specular wall portion and the constituent particle are configured such that a velocity component of the constituent particle parallel to the specular wall portion before a collision between the constituent particle and the specular wall portion has approximately the same value after the collision and further configured such that energy transfer between the specular wall portion and the constituent particle associated with the cooling of the specular wall portion occurs through an increase in a velocity component of the constituent particle perpendicular to the specular wall portion.
7. The method of claim 6 wherein at least a portion of the cross section of the micro channel varies as a function of length in the first direction between the inflow opening and the outflow opening.
8. The method of claim 7 wherein the variation in the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially linear and substantially increasing.
9. The method of claim 7 wherein the variation in the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially abrupt in a region proximal to the inflow opening such that a wall of the micro channel in the region proximal to the inflow opening extends in a direction substantially perpendicular to the first direction, and further so that the gas is accelerated to at least sonic speed in the region proximal to the inflow opening;
wherein the cross section of the micro channel as a function of a length in the first direction between the inflow opening and the outflow opening is substantially constant between the region proximal to the inflow opening and the outflow opening; and
wherein the cross section of the micro channel between the inflow opening and the outflow opening is greater than the cross section of the micro channel in the region proximal to the inflow opening.
10. The method of claim 6 wherein the second pressure of the gas proximal to the outflow opening is substantially less than atmospheric; and
wherein a linear distance between the inflow opening and the outflow opening along a length of the micro channel has a value in a range of about 0.01 mm to 10 m.