NUMERICAL INVESTIGATION ON NATURAL CONVECTIONN FROM AN OPEN RECTANGULAR CAVITY CONTAINING A HEATED CIRCULAR CYLINDER
ABSTRACT In
this
report,
the
effect
of
temperature
dependent
variable
viscosity
on
Magnetohydrodynamic (MHD) natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations with associated boundary conditions for phenomenon are converted to nondimensional form using a suitable transformation. The resulting nonlinear system of partial differential equations are mapped into the domain of flat vertical plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results in terms of the skin friction coefficient, the rate of heat transfer, the velocity and temperature profiles as well as on the streamlines and the isotherms over the whole boundary layer are shown graphically for the effects of the pertinent parameters, such as the viscosity parameter (Îľ), the magnetic parameter (M), the amplitude of the waviness (Îą) of the surface and Prandtl number (Pr). Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are presented in tabular form. The programming language LAHEY FORTRAN 90 will be used and an in finite difference programming code will be modified to fit the present problem. The post processing software TECHPLOT has been used to display the numerical results graphically. Comparisons with previously reported investigations are performed and the results show excellent agreement Nomenclature Cfx
local skin friction coefficient
Cp
specific heat at constant pressure
f
dimensionless stream function
g
acceleration due to gravity
Gr
Grashof number
k
thermal conductivity
L
characteristic length associated with the wavy surface
M
magnetic parameter
Nux
local Nusselt number
P
pressure of the fluid