NUMERICAL INVESTIGATION ON NATURAL CONVECTIONN FROM AN OPEN RECTANGULAR CAVITY COCopy of thesisanwar

Page 1

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


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.
NUMERICAL INVESTIGATION ON NATURAL CONVECTIONN FROM AN OPEN RECTANGULAR CAVITY COCopy of thesisanwar by lawjuris - Issuu