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THERMAL RADIATION EFFECTS ON FLOW PAST A VERTICAL OSCILLATING PLATE WITH VARIABLE TEMPERATURE AND UNIFORM MASS DIFFUSION

P. Chandrakala

Department of Mathematics, Bharathi Women’s College, No. 34 / 2, Ramanujam Garden Street, Pattalam, Chennai - 600 012, India. e-mail : pckala05@yahoo.com

 

Abstract

 

Thermal radiation effects on flow past an infinite vertical oscillating plate in the presence of variable temperature and uniform mass diffusion is considered. The temperature near the plate is made to rise linearly with time. The fluid considered is a gray, absorbing-emitting radiation but a non-scattering medium. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration are studied for different parameters like radiation parameter, phase angle and time. The variation of the skin-friction for different values of the parameters is also shown in a table.

Keywords : oscillating vertical plate, radiation , variable temperature

Nomenclature

A     - constant

    - Species concentration in the fluid

     - concentration of the plate

     - concentration in the fluid far away from the plate

      -  dimensionless concentration

    - specific heat at constant pressure

      - acceleration due to gravity

 Gr     - thermal Grashof number

       - thermal conductivity of the fluid

     - Prandtl number

       - pressure

      - radiative heat flux in the y-direction

N        - radiation parameter

       - temperature of the fluid near the plate

      - temperature of the plate

      - temperature of the fluid far away from the plate

      - time

        - dimensionless time

       - velocity of the fluid in the x-direction

       - velocity of the plate

        - dimensionless velocity

        - coordinate axis normal to the plate

        - dimensionless coordinate axis normal to the plate

       - mean absorption coefficient

        - volumetric coefficient of thermal expansion

       - volumetric coefficient of expansion with concentration

         - similarity parameter

         - coefficient of viscosity

         - kinematic viscosity

         - density

         - Stefan-Boltzmann constant

          - dimensionless average skin-friction

          - dimensionless temperature

          - similarity parameter

        - phase angle

erfc       - complementary error function

 

 


International eJournal of Mathematics and Engineering

Volume 5, Issue 1, Pages:  2291 - 2301