Concept of Transpiration Cooling — Lesson 3

This lesson covers the concept of transpiration cooling in the context of transport phenomena of non-Newtonian fluids. It delves into the temperature distribution in a system of transpiration cooling and the heat removal affected by the system. The lesson explains the use of transpiration cooling systems in nuclear reactors to remove heat evolved due to radioactive materials. It also discusses the mathematical derivations involved in understanding the heat transfer and temperature distribution in such systems. The lesson further explains how to calculate the rate of heat removal from the inner sphere as a function of mass rate of flow of the gas. The lesson concludes with an illustrative example problem on transpiration cooling.

Video Highlights

01:26 - Explanation of the system of concentric spherical shells used in transpiration cooling and the process of heat removal.
07:20 - Explanation of the process of simplifying the equation of continuity to obtain the velocity distribution.
42:22 - Explanation of the process of finding the temperature profile and heat removal in the absence of radial gas flow.
46:02 - Conclusion with an example problem to calculate the temperature between two shells of spheres for different radial mass flow rates.

Key Takeaways

• Transpiration cooling systems are often used in nuclear reactors to remove heat evolved due to radioactive materials.
• The temperature distribution in a system of transpiration cooling and the heat removal affected by the system can be calculated using mathematical derivations.
• The rate of heat removal from the inner sphere can be calculated as a function of mass rate of flow of the gas.
• The concept of transpiration cooling can be applied to different geometries, such as spherical and cylindrical.