Dual solutions of boundary-layer flow
Yeo, Po Yuang.
Date of Issue2012
School of Mechanical and Aerospace Engineering
This report is done by the author, and is dedicated to study on mixed convection flow over a vertical cylinder. The objective of the Final Year Project is to find out the effects of the curvature parameter γ and blowing parameter σ on the existence of dual solutions in an opposing flow (λ<0). Matlab is used to model the problem. Before the A/P Shu’s problem is modeled, the accuracy of the Matlab codes written and proposed by the author was verified against a study done by J H Merkin. Once the codes were found to be robust and accurate, the Matlab codes were modified for A/P Shu’s problem. Simulation results show that unique and dual solution existed in an opposing flow. The effect of the curvature parameter is that as γ increases, the range of dual solution increases. The range of unique and dual solution decrease up to a point 𝜆?𝑐?𝑟?, where no solutions can be found. The effect of the blowing parameter is also investigated. Simulation results show that as σ increases, the range of dual solutions decreases, up till point 𝜎?𝑐?𝑟?, where dual solution cease to exist. The corresponding velocity and temperature profiles were also analysed.
Final Year Project (FYP)
Nanyang Technological University