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 โ 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.
