Free Convection between Two Vertical Plates — Lesson 1

This lesson covers the concept of transport phenomena of non-Newtonian fluids, focusing on free convection between two vertical plates. It explains the mathematical procedures used to obtain velocity profiles, volumetric flow rates, and friction factors. The lesson also discusses the additional considerations required for non-isothermal flow of non-Newtonian fluids, such as changes in viscosity and density due to temperature variations. It further delves into the use of continuity equations, momentum equations, and energy equations in studying these flows. The lesson concludes with a detailed example of solving a problem involving laminar free convection flow between two vertical plates.

Video Highlights

01:38 - Explanation of the need for energy equation in non-isothermal conditions and the requirement of additional information like caloric equations of state.
11:10 - Explanation of the concept of free convection and the use of Boussinesq equation of motion for forced and free convection.
27:01 - Derivation of the temperature distribution and velocity profile for the problem using the equations of motion.
38:06 - Explanation of the balance among different forces in the system, including viscous, pressure, gravity, and buoyant forces.
45:42 - Calculation of the average velocity in the upward moving stream.

Key Takeaways

• Non-Newtonian fluids require additional considerations when studying their transport phenomena, especially under non-isothermal conditions.
• Changes in viscosity and density due to temperature variations need to be incorporated in the system.
• Continuity equations, momentum equations, and energy equations are essential tools in studying these flows.
• The Boussinesq approximation can be used to study free convection problems.