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Research Papers: Natural and Mixed Convection

Mixed Convection Over a Horizontal Plate With Streamwise Non-Uniform Surface Temperature Distribution

[+] Author and Article Information
Muhammad Noman Hasan

Department of Mechanical Engineering,
Bangladesh University of Engineering and Technology, (BUET),
Dhaka-1000, Bangladesh
e-mail: muhammad.noman.hasan@gmail.com;
noman.becker@gmail.com

Suvash C. Saha

e-mail: suvash.saha@qut.edu.au

Y. T. Gu

e-mail: yuantong.gu@qut.edu.au
Institute of Future Environments,
Queensland University of Technology,
Gardens Point Campus,
GPO Box 2434,
Brisbane, Queensland 4000, Australia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 30, 2012; final manuscript received February 17, 2013; published online June 6, 2013. Assoc. Editor: William P. Klinzing.

J. Heat Transfer 135(7), 072501 (Jun 06, 2013) (8 pages) Paper No: HT-12-1036; doi: 10.1115/1.4023745 History: Received January 30, 2012; Revised February 17, 2013

Numerical investigation on mixed convection of a two-dimensional incompressible laminar flow over a horizontal flat plate with streamwise sinusoidal distribution of surface temperature has been performed for different values of Rayleigh number, Reynolds number and frequency of periodic temperature for constant Prandtl number and amplitude of periodic temperature. Finite element method adapted to rectangular nonuniform mesh elements by a nonlinear parametric solution algorithm basis numerical scheme has been employed. The investigating parameters are the Rayleigh number, the Reynolds number and frequency of periodic temperature. The effect of variation of individual investigating parameters on mixed convection flow characteristics has been studied to observe the hydrodynamic and thermal behavior for while keeping the other parameters constant. The fluid considered in this study is air with Prandtl number 0.72. The results are obtained for the Rayleigh number range of 102 to 104, Reynolds number ranging from 1 to 100 and the frequency of periodic temperature from 1 to 5. Isotherms, streamlines, average and local Nusselt numbers are presented to show the effect of the different values of aforementioned investigating parameters on fluid flow and heat transfer.

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Figures

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Fig. 1

Physical model for the computational domain

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Fig. 2

Grid distribution for computational domain

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Fig. 3

Isotherms (left column) and streamlines (right column) for different Rayleigh number, Ra at Re = 5, fT = 1, Pr = 0.72, ΔT = 1

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Fig. 4

Average Nusselt number, Nu plots for different Rayleigh number at various Re and Pr = 0.72, fT = 1, ΔT = 1

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Fig. 5

Local Nusselt number, Nux for different Rayleigh number, Ra for Pr = 0.72, Re = 5, fT = 1, ΔT = 1

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Fig. 6

Isotherms (left column) and streamlines (right column) for different Reynolds number, Re at Ra = 103, fT = 1, Pr = 0.72, ΔT = 1

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Fig. 7

Average Nusselt number, Nu plots for different Reynolds number, Re at various Ra and Pr = 0.72, fT = 1, ΔT = 1

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Fig. 8

Local Nusselt number, Nux for different Reynolds number, Re for Pr = 0.72, Ra = 103, fT = 1, ΔT = 1

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Fig. 9

Isotherms (left column) and streamlines (right column) for different periodic temperature frequency, fT at Re = 5, Ra = 103, Pr = 0.72, ΔT = 1

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Fig. 10

Average Nusselt number, Nu plots for different periodic temperature frequency, fT (a) at various Ra and Pr = 0.72, Re = 5, ΔT = 1 (b) at various Re and Pr = 0.72, Ra = 103, ΔT = 1

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Fig. 11

Local Nusselt number, Nux for different periodic temperature frequency, fT for Pr = 0.72, Re = 5, Ra = 103, ΔT = 1

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