Heat Transfer Combined with Chemical Reactions — Lesson 2

This lesson covers the topic of heat transfer combined with chemical reactions, focusing on the transport phenomena of non-Newtonian fluids. It discusses three different problems based on spherical geometry, including heat transfer from a sphere to a stagnant fluid, heat conduction in a spherical shell, and combined heat conduction and reaction energy in a spherical catalyst pellet. The lesson explains the mathematical equations and derivations involved in these problems, providing a detailed understanding of how temperature distribution changes due to heat generation from reactions. It also discusses the concept of Nusselt number and its correlation with heat transfer.

Video Highlights

01:20 - Explanation of how temperature distribution changes with heat generation due to the reaction.
11:36 - Explanation of how to find the temperature distribution for the case of heat conduction from a sphere to a stagnant Newtonian fluid.
32:48 - Explanation of how to find the rate of heat transfer at the sphere surface due to conduction and convection.
35:50 - Explanation of how to find the maximum temperature in the system.

Key Takeaways

• Heat transfer problems can be complex when combined with chemical reactions, especially in non-Newtonian fluids.
• The Nusselt number, which is a dimensionless number used in heat transfer, plays a crucial role in understanding heat transfer problems.
• The temperature distribution in a system can change significantly due to heat generation from reactions.
• Mathematical equations and derivations are essential tools in solving heat transfer problems.
• Understanding the concept of spherical geometry is crucial in solving problems related to heat transfer in spherical catalyst pellets.