0
Technical Briefs

Analytical Solution for Forced Convection in a Sector Duct Filled With a Porous Medium

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI 48824cywang@mth.msu.edu

J. Heat Transfer 132(8), 084502 (Jun 04, 2010) (4 pages) doi:10.1115/1.4001102 History: Received August 25, 2009; Revised January 06, 2010; Published June 04, 2010; Online June 04, 2010

The fully developed viscous flow through a sector duct filled with a porous medium is studied. The Darcy–Brinkman and energy equations are solved analytically by series expansions in Bessel functions of the first kind. The problem is governed by a porous medium parameter s, which is proportional to the inverse square root of the permeability. For large s there exists a boundary layer on the walls, and the resistance increases greatly. The Nusselt number for the H1 heat transfer problem also increases. If the apex angle is acute, the local velocity and heat transfer are very low. If the apex angle is obtuse, the local shear and heat transfer are large. Tables for the friction factor-Reynolds number products and Nusselt numbers are determined for various s and apex angles.

FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Cross section of the sector duct

Grahic Jump Location
Figure 2

The case when s=10 and β=π: (a) constant velocity lines Δw=0.002; (b) constant temperature lines Δτ=−0.00025

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