What is the constriction resistance for two planar films?

[leehoom]

Hi there,

I'm recently doing research on thermal transport in constriction geometries, and want to get the diffusive constriction resistance for two planar films but with rectangular cross section. I have searched for many literature, but all of them are talking about the planar films with circular interface, which is 1/(2ka) and a is the radius of the orifice. Therefore, I'm posting for any suggestions to get the resistance in the rectangular cross section condition.

Thanks in advance!

 

[eljose79]

Hi there,

Thank you for reaching out and sharing your research topic with us. Thermal transport in constriction geometries is a very interesting area of study and I'm happy to provide some suggestions for obtaining the diffusive constriction resistance for two planar films with a rectangular cross section.

One approach you can take is to use the concept of thermal resistance networks. This method involves breaking down the system into smaller components and calculating the individual thermal resistances, then combining them to obtain the overall resistance. In your case, you can consider the two planar films as two separate resistors, and the rectangular cross section as a series of smaller resistors. By calculating the thermal resistance of each component and combining them, you can obtain the overall diffusive constriction resistance for your system.

Another method you can use is finite element analysis, which is a numerical technique for solving partial differential equations. This approach allows you to model the thermal behavior of your system and obtain the resistance for different geometries, including rectangular cross sections. There are various software packages available that can assist you in performing finite element analysis, such as COMSOL Multiphysics or ANSYS.

I hope these suggestions are helpful in your research. If you have any further questions or need more clarification, please don't hesitate to ask. Best of luck with your studies!