Heat exchanger header with fractal geometry
A heat exchanger header for receiving a first fluid includes a tubular primary fluid channel oriented along a first axis and having a first cross-sectional area. A first branched region adjacent to the primary fluid channel fluidly connects to a plurality of tubular secondary fluid channels, each having a second cross-sectional area, and a second branched region adjacent to each of the secondary fluid channels fluidly connects to a plurality of tubular tertiary fluid channels, each having a third cross-sectional area. The second cross-sectional area is greater than the third cross-sectional area.
1. A heat exchanger header configured to receive a first fluid, the header comprising:
a tubular primary fluid channel oriented along a first axis and having a first cross-sectional area;
a first branched region adjacent to the primary fluid channel, the first branched region fluidly connected to a plurality of tubular secondary fluid channels, each having a second cross-sectional area; and
a second branched region adjacent to each of the secondary fluid channels, each of the second branched regions fluidly connected to a plurality of tubular tertiary fluid channels, each having a third cross-sectional area;
wherein the second cross-sectional area is greater than the third cross-sectional area;
wherein the first cross-sectional area is defined by a first radius (r 1 ), the second cross-sectional area is defined by a second radius (r 2 ), and the third cross-sectional area is defined by a third radius (r 3 ); and
wherein the relationship between the primary fluid channel and each of the secondary fluid channels follows the equation r 1 x =Σr 2 x where x falls within the range of 1.5 to 3.5, and wherein the relationship between each of the secondary fluid channels and each of the tertiary fluid channels follows the equation r 2 x =Σr 3 x where x falls within the range of 1.5 to 3.5.
2. The header of claim 1 , wherein the secondary fluid channels and the tertiary fluid channels have one of a straight geometry and a helical geometry.
3. The header of claim 1 , wherein the header has a fractal geometry.
4. The header of claim 1 , wherein the first branched region is a bifurcation, such that the plurality of secondary fluid channels comprises a pair, and wherein the second branched region is a bifurcation, such that the plurality of tertiary fluid channels comprises a pair.
5. The header of claim 1 , wherein the header is formed from a metallic or polymer material.
6. The header of claim 1 and further comprising: a third branched region adjacent to each of the tertiary fluid channels, each of the third branched regions fluidly connected to a plurality of tubular quaternary fluid channels, each having a fourth cross-sectional area.
7. The header of claim 6 , wherein the fourth cross-sectional area is defined by a fourth radius (r 4 ), and wherein the relationship between each of the tertiary fluid channels and each of the quaternary fluid channels follows the equation r 3 x =Σr 4 x where x falls within the range of 1.5 to 3.5.
8. The header of claim 1 , wherein for each of the equations r 1 x =1 r 2 x and r 2 x =Σr 3 x , x=3.
9. A heat exchanger comprising:
an inlet header configured to receive a first fluid, the inlet header comprising:
a tubular primary fluid channel oriented along a first axis and having a first cross-sectional area;
a first branched region downstream of and adjacent to the primary fluid channel, the first branched region fluidly connected to a plurality of tubular secondary fluid channels, each having a second cross-sectional area; and
a second branched region downstream of and adjacent to each of the secondary fluid channels, each of the second branched regions fluidly connected to a plurality of tubular tertiary fluid channels, each having a third cross-sectional area;
an outlet header in fluid communication with the inlet header, the outlet header comprising:
a tubular primary fluid channel oriented along the first axis and having a first cross-sectional area;
a first branched region upstream of and adjacent to the primary fluid channel, the first branched region fluidly connected to a plurality of tubular secondary fluid channels, each having a second cross-section area; and
a second branched region upstream of and adjacent to each of the secondary fluid channels, each of the second branched regions fluidly connected to a plurality of tubular tertiary fluid channels, each having a third cross-sectional area;
wherein each of the second cross-sectional areas are greater than each of the third cross-sectional areas;
wherein the first cross-sectional areas are defined by a first radius (r 1 ), each of the second cross-sectional areas are defined by a second radius (r 2 ), and each of the third cross-sectional areas are defined by a third radius (r 3 ); and
wherein the relationship between the inlet header and outlet header primary fluid channels and each of the inlet header and outlet header secondary fluid channels follows the equation r 1 x =Σr 2 x where x falls within the range of 1.5 to 3.5, and wherein the relationship between each of the inlet header and outlet header secondary fluid channels and each of the inlet header and outlet header tertiary fluid channels follows the equation r 2 x =Σr 3 x where x falls within the range of 1.5 to 3.5.
10. The heat exchanger of claim 9 , wherein one of the inlet header secondary and tertiary fluid channels, and the outlet header secondary and tertiary fluid channels has a straight geometry.
11. The heat exchanger of claim 9 , wherein one of the inlet header secondary and tertiary fluid channels, and the outlet header secondary and tertiary fluid channels has helical geometry.
12. The heat exchanger of claim 9 , wherein the first branched region is a bifurcation, such that the plurality of secondary fluid channels comprises a pair, and wherein the second branched region is a bifurcation, such that the plurality of tertiary fluid channels comprises a pair.
13. The heat exchanger of claim 9 and further comprising: a core section disposed between and fluidly connecting the inlet header and the outlet header.
14. The heat exchanger of claim 9 , wherein at least one of the inlet header and the outlet header has a fractal geometry.
15. The heat exchanger of claim 1 and further comprising:
an inlet header third branched region adjacent to each of the inlet header tertiary fluid channels, each of the third branched regions being fluidly connected to a plurality of tubular quaternary fluid channels, each having a fourth cross-sectional area; and
an outlet header third branched region adjacent to each of the outlet header tertiary fluid channels, each of the third branched regions being fluidly connected to a plurality of tubular quaternary fluid channels, each having a fourth cross-sectional area.
16. The heat exchanger of claim 1 , wherein for each of the equations r 1 x =Σr 2 x and r 2 x =Σr 3 x , x=3.