Axisymmetric Rotating Flow over a Permeable Surface with Heat and Mass Transfer Effects

Abstract

In this thesis, rotational flow over a permeable surface with a variable free stream angular velocity is considered in this thesis. Main interest is to solve the associated heat/mass transport equations under different situations. Firstly, heat transport phenomena occurring in generalized vortex flow is analyzed under two different heating processes, namely, the (i) prescribed surface temperature (PST) and (ii) prescribed heat flux (PHF). The vortex motion imposed at infinity is assumed to follow a power-law form (𝑟/𝑟0) 𝑚, where 𝑟 denotes the radial coordinate, 𝑟0 the disk radius and 𝑚 = (2𝑛 − 1) is a non-dimensional constant. Assuming a similarity solution, the governing Navier-Stokes equations transform into a set of coupled ordinary differential equations which are treated numerically for the aforementioned thermal conditions. Secondly, mass transport phenomena accompanied with activation energy is incorporated for the generalized vortex flow situation. After finding self-similar equations, a numerical solution is furnished by using MATLAB built-in function bvp4c.