A natural-convection boundary layer along a vertical complex wavy surface with uniform heat flux has been investigated. The complex surface studied combines two sinusoidal functions, a fundamental wave and its first harmonic. Using a method of transformed coordinates, the boundary-layer equations are mapped into a regular and stationary computational domain. The transformed equations can then be solved straightforwardly by any number of numerical methods designed for regular and stationary geometries. In this paper, an implicit finite-difference method is used. The results were readily obtained on a personal computer. The numerical results demonstrate that the additional harmonic substantially alters the flow field and temperature distribution near the surface. The induced velocity normal to the $y$ axis can substantially thicken the boundary layer, implying that its growth is *not* due solely to the momentum and thermal diffusion normal to the $y$ axis along a wavy surface.

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# Natural-Convection Flow Along a Vertical Complex Wavy Surface With Uniform Heat Flux

Mamun Molla,

Mamun Molla

Department of Mechanical Engineering,

University of Glasgow

, Glasgow G12 8QQ, UK
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Anwar Hossain,

Anwar Hossain

Department of Mathematics,

COMSATS Institute of Information Technology

, Islamabad, Pakistan
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Lun-Shin Yao

Lun-Shin Yao

Department of Mechanical and Aerospace Engineering,

Arizona State University

, Tempe, AZ 876108
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Mamun Molla

Department of Mechanical Engineering,

University of Glasgow

, Glasgow G12 8QQ, UK
Anwar Hossain

Department of Mathematics,

COMSATS Institute of Information Technology

, Islamabad, Pakistan
Lun-Shin Yao

Department of Mechanical and Aerospace Engineering,

Arizona State University

, Tempe, AZ 876108*J. Heat Transfer*. Oct 2007, 129(10): 1403-1407 (5 pages)

**Published Online:**April 25, 2007

Article history

Received:

October 23, 2006

Revised:

April 25, 2007

Citation

Molla, M., Hossain, A., and Yao, L. (April 25, 2007). "Natural-Convection Flow Along a Vertical Complex Wavy Surface With Uniform Heat Flux." ASME. *J. Heat Transfer*. October 2007; 129(10): 1403–1407. https://doi.org/10.1115/1.2755062

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