Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface

Authors

  • Nazma Parveen Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka
  • M A Alim Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka

DOI:

https://doi.org/10.3329/jname.v9i1.5954

Keywords:

Magnetohydrodynamics, Joule heating, natural convection, uniform surface temperature, Keller-Box method, wavy surface

Abstract

In this paper, the effect of Joule heating on magnetohydrodynamic 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 this phenomenon are converted to nondimensional form using a suitable transformation. The equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as the Keller-box scheme. Effects of pertinent parameters, such as the Joule heating parameter (J), Prandtl number (Pr), magnetic parameter (M) and the amplitude of the wavy surface ? on the surface shear stress in terms of the skin friction coefficient (Cfx), the rate of heat transfer in terms of local Nusselt number (Nux), the streamlines and the isotherms are discussed. A comparison with previously published work is performed and the results show excellent agreement.

DOI: http://dx.doi.org/10.3329/jname.v9i1.5954

Journal of Naval Architecture and Marine Engineering 9(2012) 11-24

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Published

26.05.2012

How to Cite

Parveen, N., & Alim, M. A. (2012). Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface. Journal of Naval Architecture and Marine Engineering, 9(1), 11–24. https://doi.org/10.3329/jname.v9i1.5954

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