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.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Herrero, J., Humphrey, J. A. C., and Giralt, F., 1994, “Comparative Analysis of Coupled Flow and Heat Transfer Between Co-Rotating Discs in Rotating and Fixed Cylindrical Enclosures,” Heat Transfer in Gas Turbines, HTD-Vol. 300, M. K.Chyu and N. V.Nirmalan, eds., American Society of Mechanical Engineers, New York, pp. 111–121.
Owen, J. M., and Rogers, R. H., 1989, Flow and Heat Transfer in Rotating Disk Systems (Rotor-Stator Systems, Vol. 1), Wiley, New York.
Abdul Maleque, Kh., and Abdus Sattar, Md., 2005, “Steady Laminar Convective Flow With Variable Properties Due to a Porous Rotating Disk,” ASME J. Heat Transfer, 127, pp. 1406–1409. [CrossRef]
Anwar Hossain, Md., Hossain, A., and Wilson, M., 2001, “Unsteady Flow of Viscous Incompressible Fluid With Temperature-Dependent Viscosity Due to a Rotating Disc in Presence of Transverse Magnetic Field and Heat Transfer,” Int. J. Therm. Sci., 40, pp. 11–20. [CrossRef]
Bar-Yoseph, P., and Olek, S., 1984, “Asymptotic and Finite Element Approximations for Heat Transfer in Rotating Compressible Flow Over an Infinite Porous Disk,” Comput. Fluids, 12, pp. 177–197. [CrossRef]
Koong, S. S., and Blacksher, P. L., 1965, “Experimental Measurements of Mass Transfer From a Rotating Disk in a Uniform Stream,” ASME J. Heat Transfer, 87, pp. 422–423. [CrossRef]
Lee, M. H., Jeng, D. R., and DeWitt, K. J., 1978, “Laminar Boundary Layer Transfer Over Rotating Bodies in Forced Flow,” ASME J. Heat Transfer, 100, pp. 496–503. [CrossRef]
Jeng, D. R., DeWitt, K. J., and Lee, M. H., 1979, “Forced Convection Over Rotating Bodies With Non-Uniform Surface Temperature,” Int. J. Heat Mass Transfer, 22, pp. 89–97. [CrossRef]
Evans, R., and Greif, R., 1988, “Forced Flow Near a Heated Rotating Disk: A Similarity Solution,” Numer. Heat Transfer, 14, pp. 373–387. [CrossRef]
Liu, K. T., and Stewart, W. E., 1972, “Asymptotic Solution for Forced Convection From a Rotating Disk,” Int. J. Heat Mass Transfer, 15, pp. 187–189. [CrossRef]
Cochran, W. G., 1934, “The Flow Due to a Rotating Disk,” Proc. Cambridge Philos. Soc., 30, pp. 365–375. [CrossRef]
Bachok, N., Ishak, A., and Pop, I., 2011, “Flow and Heat Transfer Over a Rotating Porous Disk in a Nanofluid,” Physica B, 406, pp. 1767–1772. [CrossRef]
Turkyilmazoglu, M., and Senel, P., 2013, “Heat and Mass Transfer of the Flow Due to a Rotating Rough and Porous Disk,” Int. J. Therm. Sci., 63, pp. 146–158. [CrossRef]
Incropera, F. P., DeWitt, D. P., Bergman, T. L., and Levine, A. S., 2007, Fundamentals of Heat and Mass Transfer, 6th ed., Wiley, Hoboken, NJ.
Kuiken, H. K., 1971, “The Effect of Normal Blowing on the Flow Near a Rotating Disk of Infinite Extent,” J. Fluid Mech., 47, pp. 789–798. [CrossRef]
Yen, S.-C., Wang, J.-S., and Chapman, T. W., 1992, “Experimental Mass Transfer at a Forced-Convective Rotating-Disk Electrode,” J. Electrochem. Soc., 139, pp. 2231–2238. [CrossRef]
Wagner, C., 1948, “Heat Transfer From a Rotating Disk to Ambient Air,” J. Appl. Phys., 19, pp. 837–839. [CrossRef]


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



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In