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Influence of Space-Varying Surface Heat Flux on the Heat Transfer Due to a Moving Fluid Over a Moving Surface

[+] Author and Article Information
Iswar Chandra Mondal

Department of Mathematics,
The University of Burdwan,
Burdwan 713104, West Bengal, India

Kuppalapalle Vajravelu

Department of Mathematics,
University of Central Florida,
Orlando, FL 32816-1364;
Department of Mechanical,
Materials and Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816-1364

Robert A. Van Gorder

Department of Mathematics,
University of Central Florida,
Orlando, FL 32816-1364
e-mail: rav@knights.ucf.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received October 11, 2012; final manuscript received March 29, 2013; published online July 11, 2013. Assoc. Editor: Ali Ebadian.

J. Heat Transfer 135(8), 084503 (Jul 11, 2013) (4 pages) Paper No: HT-12-1558; doi: 10.1115/1.4024282 History: Received October 11, 2012; Revised March 29, 2013

Boundary-layer forced convective heat transfer at a moving flat surface parallel to a moving stream is presented for the case where the plate is subjected to a variable heat flux. In particular, we assume that the surface heat flux varies with spatial variable x according to a power-law rule. The similarity solutions for the problem are obtained by solving the reduced ordinary differential equations numerically, while exact solutions are provided for certain parametric values. It is noted that even in the case of prescribed surface heat flux, dual solutions exist when the surface and the fluid move in opposite directions.

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Figures

Grahic Jump Location
Fig. 1

Dual nature of temperature profile for constant heat flux when the surface and the fluid move in the opposite direction

Grahic Jump Location
Fig. 2

Dual nature of temperature profiles for several values of (a) N (>0) and (b) N (<0) when the surface and the fluid move in the opposite direction

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