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Technical Briefs

Similarity Solution for Heat Convection From a Porous Rotating Disk in a Flow Field

[+] Author and Article Information
Abdullah Abbas Kendoush

Department of Nuclear Engineering Technology,
Augusta Technical College,
Augusta, GA 30906
e-mail: akendoush@augustatech.edu

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received December 21, 2012; final manuscript received April 16, 2013; published online July 18, 2013. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 135(8), 084505 (Jul 18, 2013) (3 pages) Paper No: HT-12-1668; doi: 10.1115/1.4024283 History: Received December 21, 2012; Revised April 16, 2013

A mathematical method is described for the analytical solution of the convective heat transfer rates from a rotating isothermal and porous disk in a uniform flow field. By applying the appropriate velocity component of the fluid in the energy equation, a similarity solution was derived showing an increase in the rates of heat transfer with increasing rotational Reynolds number and with decreasing flow Reynolds number. Effects of natural convection and viscous dissipation were assumed negligible.

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Figures

Grahic Jump Location
Fig. 1

The rotating porous disk of radius (a) in the flow field

Grahic Jump Location
Fig. 2

Comparison between the present analytical solution (solid line) and Turkyilmazoglu and Senel's [13] numerical solution (dashed line) for the temperature distribution over the rotating disk surface at the following assumed parameters ω = 5 m/s, Ω = 1000 rad/s, Pr = 0.72, α = 783 × 10−6 m2/s, and υ = 564 × 10−6 m2/s

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