Quasi-Steady Analysis of Simultaneous HT, MT and Chemical Reaction — Lesson 1

This lesson covers the transport phenomena of Non-Newtonian fluids, focusing on the quasi-steady analysis of simultaneous heat transfer, mass transfer, and chemical reactions. It delves into the problems where simultaneous heat and mass transfer occur, along with reactions. The lesson explains the concept of pseudo steady state or quasi steady analysis and how it incorporates time information. It uses the example of a combustion of a carbon particle to illustrate the concepts. The lesson also discusses the mathematical equations and assumptions used in the analysis, including the Peclet number, reaction rates, and fluxes at the surface.

Video Highlights

02:01 - Discussion on the combustion of a carbon particle and the chemical reactions involved.
09:10 - Determination of the oxygen flux at the surface and the heat flux and reaction rate at the particle.
54:45 - Explanation of the energy conservation in the gas and the derivation of the equation for the temperature profile.
61:04 - Conclusion of the lecture with the final expression for the surface temperature.

Key Takeaways

• Quasi-steady analysis is used in problems where heat and mass transfer occur simultaneously, along with possible reactions.
• The rate of change of the radius of a particle can be related to the fluxes at the surface and the reaction rate.
• The oxygen flux at the surface of a particle can be determined using the concept of pseudo steady conditions.
• The particle temperature can be determined by relating the heat flux and the reaction rate at the particle.
• The heat flux at the particle surface can be determined by using the energy conservation in the gas.