Nonlinear Radiative Flow over a Vertical Cylinder Moving with Nonlinear Velocity

Abstract

In this work, nonlinear radiative flow over a vertical cylinder moving with a nonlinear velocity is presented. The mathematical model of the problem is formulated to include many parameters such as the thermal radiation parameter, the nonlinearity parameter, the Prandtl number, etc. Mathematica program is built to numerically solve the system of ordinary differential equations together with boundary conditions that is derived from the partial differential equations governing the fluid motion through using suitable similarity transformations. Numerical results obtained for the case of linear cylinder velocity are compared with analytical results obtained for the same case to validate the numerical method used in this work. Profiles of the fluid velocity and fluid temperatures are introduced and discussed to explore different parameters effects.