Convection Heat Transfer of Visco-elastic Fluids over a Stretching Surface in Porous Media

• Main Authors: Che-Na Chen, 陳哲娜
• Other Authors: 陳建信
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/qyr6mh

碩士 === 國立虎尾科技大學 === 機械設計工程研究所 === 99 === The paper aims to study the flow and heat transfer characteristics of MHD viscoelastic fluid flow in a porous medium over a stretching sheet. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by suitable similarity transformation. The present problem has been solved analytically by using Kummer’s function. Two thermal conditions at the surface are considered, i.e. (i) prescribed wall temperature (PST case) and (ii) prescribed heat flux (PHF case). To reveal the tendency of the solutions, representative results for velocity and temperature profiles, the local Nusselt number and the skin friction coefficient are presented for various governing parameters. The effects of various physical parameters, such as viscoelasticity, porosity, permeability, magnetic parameter, thermal radiation parameter, heat source/sink parameter, Prandtl number, Eckert number and suction/injection parameter on the velocity and temperature profiles, skin friction coefficient and Nusselt number are examined and discussed in detail. For some special cases, The results of the present analysis are in excellent agreement with the existing literature. The velocity profile increases with ε but decreases with k1, K and Mn for other parameters fixed. The temperature profiles in both the PST and PHF cases increase with k1, K, R and Ec but decrease with ε and Pr.