Conjugate effects of temperature sensitive viscosity and thermal conductivity on free convection flow along a wavy surface with heat generation

Authors

  • Md. Abdul Alim Professor Department of Mathematics Bangladesh University of Engineering and Technology (BUET) Dhaka-1000, Bangladesh
  • M. Miraj Akand Associate Professor Department of Mathematics Dhaka Commerce College Dhaka-1216, Bangladesh
  • M. Rezaul Karim Professor Department of Mathematics Jagannath University Dhaka, Bangladesh

DOI:

https://doi.org/10.3329/jname.v10i2.9450

Keywords:

Natural convection, internal heat generation, uniform surface temperature, wavy surface, thermal conductivity, variable viscosity

Abstract

The effects of internal heat generation on natural convection flow with temperature dependent variable viscosity along a uniformly heated vertical wavy surface have been investigated. The governing boundary layer equations are first transformed into a non-dimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. Numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines as well as the isotherms are shown graphically for a selection of parameters set consisting of viscosity variation parameter e, thermal conductivity parameter g, heat generation parameter Q 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 and graphically.

DOI: http://dx.doi.org/10.3329/jname.v10i2.9450

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Author Biographies

Md. Abdul Alim, Professor Department of Mathematics Bangladesh University of Engineering and Technology (BUET) Dhaka-1000, Bangladesh

Professor
Department of Mathematics
Bangladesh University of Engineering and
Technology (BUET)Dhaka-1000, Bangladesh

M. Miraj Akand, Associate Professor Department of Mathematics Dhaka Commerce College Dhaka-1216, Bangladesh

Associate Professor
Department of Mathematics
Dhaka Commerce College
Dhaka-1216, Bangladesh

M. Rezaul Karim, Professor Department of Mathematics Jagannath University Dhaka, Bangladesh

Professor
Department of Mathematics
Jagannath University
Dhaka, Bangladesh

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Published

25.12.2013

How to Cite

Alim, M. A., Akand, M. M., & Karim, M. R. (2013). Conjugate effects of temperature sensitive viscosity and thermal conductivity on free convection flow along a wavy surface with heat generation. Journal of Naval Architecture and Marine Engineering, 10(2), 139–148. https://doi.org/10.3329/jname.v10i2.9450

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