Computation of convective heat transfer coefficient for finite inclined and isothermal plate

  • Mohamed Bouksani Kasdi Merbah University Ouargla
  • Mohamed najib Bouaziz Yahia fares Medea University
Keywords: Inclined finite plate, physical model, MHD, natural convection, two regions, boundary layer

Abstract

In order to compute the convective heat transfer coefficient, the present study develops a new technical approach of the constitutive equations of the fluid, based on a realistic physical model of heat transfer for an inclined and an isothermal plate with finite dimensions. Two separate regions with different fluid motions are distinguished. Using suitable transformations of differential equations, the similarity ordinary differential equations were obtained and then solved by an appropriate and simple finite difference method. The analysis of numerical results for some special cases of inclination with visualization photographs is found to be in very good agreement. Numerical results for the dimensionless velocity and temperature profiles are obtained and reported graphically for various values of the parameters entering into the problem. It has observed that Lorenz forces are suitable to control the velocity. Discrepancy between the quasi-analytical formula and the present numerical results are recorded for the Nusselt number and for both the two regions.

DOI: http://dx.doi.org/10.5755/j01.mech.23.4.14709

Author Biographies

Mohamed Bouksani, Kasdi Merbah University Ouargla
Department of Drilling and Mechanic of Petroleum fields
Mohamed najib Bouaziz, Yahia fares Medea University
Mechanical engineering
Published
2017-09-07
Section
MECHANICS OF FLUIDS AND GASES