0
Research Papers: Porous Media

Effects of Partial Slip on the Analytic Heat and Mass Transfer for the Incompressible Viscous Fluid of a Porous Rotating Disk Flow

[+] Author and Article Information
Mustafa Turkyilmazoglu

 Department of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkey e-mail: turkyilm@hacettepe.edu.tr

J. Heat Transfer 133(12), 122602 (Oct 07, 2011) (5 pages) doi:10.1115/1.4004558 History: Received August 30, 2010; Revised July 08, 2011; Published October 07, 2011; Online October 07, 2011

The present paper is concerned with a class of exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous fluid flow motion due to a porous disk rotating with a constant angular speed about its axis. The recent study (Turkyilmazoglu, 2009, “Exact Solutions for the Incompressible Viscous Fluid of a Porous Rotating Disk Flow,” Int. J. Non-Linear Mech., 44, pp. 352–357) is extended to account for the effects of partial flow slip and temperature jump imposed on the wall. The three-dimensional equations of motion are treated analytically yielding derivation of exact solutions for the flow and temperature fields. Explicit expressions representing the flow properties influenced by the slip as well as a uniform suction and injection are extracted, including the velocity, vorticity and temperature fields, shear stresses, flow and thermal layer thicknesses, and Nusselt number. The effects of variation in the slip parameters are better visualized from the formulae obtained.

FIGURES IN THIS ARTICLE
<>
Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic description of the flow

Grahic Jump Location
Figure 2

Graphs of f and − g are demonstrated. (a) s  = 0 and (b) s  = 2. Curves correspond to the slip parameters, L, of 0, 1, and 10, respectively (from top for f and from bottom for − g).

Grahic Jump Location
Figure 3

Variation of the Nusselt number Nu against suction or injection parameter s. Curves correspond to the parameter Γ which is proportional to Eckert number. Solid Γ = − 2, dotted Γ = 0, and dashed Γ  = 2, respectively, for Pr  = 1, 3, and 5 (from bottom to top for all the curves). Temperature slip parameters, κ; (a) κ  = 0 and (b) κ  = 1/5.

Grahic Jump Location
Figure 4

Variation of the Nusselt number Nu against suction or injection parameter s. Curves correspond to the parameter Γ which is proportional to Eckert number. Solid Γ = − 2, dotted Γ = 0, and dashed Γ = 2, respectively, for Pr = 1, 3, and 5 (from bottom to top for Γ > 0 and reverse for Γ ≤ 0). Temperature slip parameters, κ; (a) κ = 5 and (b) κ = 15.

Tables

Errata

Discussions

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