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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v36.i3.60
pages 272-288

Natural Convection Laminar Flow with Temperature Dependent Viscosity and Thermal Conductivity Along a Vertical Wavy Surface

Md. Mamun Molla
School of Engineering & Applied Science, Dept. of Electrical & Computer Engineering, North South University Dhaka-1229, Bangladesh
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRACT

Natural convection laminar flow of a viscous incompressible fluid along a uniformly heated vertical wavy surface with temperature dependent viscosity and thermal conductivity has been investigated. We consider the boundary layer regime when the Grashof number Gr is large. Using the appropriate transformation variables, the basic governing equations are first transformed to non-similar boundary layer form and then solved numerically employing the implicit finite difference method together with Keller-box scheme. The numerical results are presented in terms of the streamlines and isotherms as well as the fluid flow and heat transfer characteristics, namely, the local skin-friction coefficient and the local Nusselt number for a wide range of values of the viscosity and thermal conductivity variation parameter, surface waviness and the Prandtl number.


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