Dual solution of mixed convection boundary- layer flow in a porous medium

• Main Author: Nan, Xiao Qian
• Other Authors: Shu Jian Jun
• Format: Final Year Project
• Language: English
• Published: 2010
• Subjects: DRNTU::Engineering::Mechanical engineering::Fluid mechanics
• Online Access: http://hdl.handle.net/10356/40328
• Institution: Nanyang Technological University

This report records the project done by the author during final year. The aim of this project is to test and find out the dual solution of mixed convection boundary layer flow in a porous medium. The author had opportunities to study Matlab software to solve this problem, which is in the chapter two of the report. The author also made use of this chance to gain some knowledge in different types of heat convection in free and forced boundary layers, interaction of porous medium on the boundary field. Using all these theory and understanding the mathematic governing equations to plot graphs, and get dual solution of mixed convection boundary layer flow for opposing flow and blowing flow. The purpose of the study is to show that dual solutions exist in the opposing flow regime and continue into that of the assisting flow regime The results showed that it is possible to obtain dual solutions of the similarity equations for both assisting flow (λ>0), as well as for the opposing flow (λ<0). In this study, the governing nonlinear ordinary differential equations were solved. For λ<0, there is a critical value λc with two branches of solution between λ>λc and λ=λc. As the boundary layer separates from the surface at λ=λc, no solutions can be obtain for λ<λc . The blowing flow, for σ<0, there is a critical value of σc with two branches of solution between σ > σ c, and there is no solutions can be obtain for σ < σ c