Non-Newtonian effect on natural convection flow over cylinder of elliptic cross section  

作　　者：P.NAG M.M.MOLLA M.A.HOSSAIN 

机构地区：[1]Department of Mathematics and Physics,North South University,Dhaka 1229,Bangladesh [2]Center for Applied Scientific Computing(CASC),North South University,Dhaka 1229,Bangladesh [3]Department of Mathematics,University of Dhaka,Dhaka 1000,Bangladesh

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第2期361-382,共22页应用数学和力学（英文版）

基　　金：Project supported by the North South University,Bangladesh(Nos.NSU-RP-18-067 and CTRG-19/SEPS/15)。

摘　　要：The non-Newtonian effect in the boundary layer flow over a horizontal elliptical cylinder is investigated numerically. A modified power-law viscosity model is used to correlate the non-Newtonian characteristics of the fluid flow. For natural convectionflows, the surface of the cylinder is maintained by the uniform surface temperature(UST)or the uniform heat flux(UHF) condition. The governing equations corresponding to theflow are first transformed into a dimensionless non-similar form using suitable transformations. The resulting equations are solved numerically by an efficient finite difference scheme. The numerical results are presented for the skin friction coefficient and the local Nusselt number with the eccentric angle for different values of the power-law index n. The local skin friction coefficient and the local Nusselt number are found to be higher and lower, respectively, for the shear thickening fluids(n > 1) than the other fluids(n≤1).The effects of different elliptical configurations on the average Nusselt number are also presented and discussed for both conditions of the surface temperature.

关 键 词：non-Newtonian fluid free CONVECTION BOUNDARY layer ELLIPTICAL CYLINDER 

分 类 号：O373[理学—流体力学]