Fully developed free convection in open-ended vertical channels partially filled with porous material

Citation
Ma. Al-nimr et Om. Haddad, Fully developed free convection in open-ended vertical channels partially filled with porous material, J POROUS M, 2(2), 1999, pp. 179-189
Citations number
15
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF POROUS MEDIA
ISSN journal
1091028X → ACNP
Volume
2
Issue
2
Year of publication
1999
Pages
179 - 189
Database
ISI
SICI code
1091-028X(199903)2:2<179:FDFCIO>2.0.ZU;2-C
Abstract
Analytical solutions for fully developed natural convection in open-ended v ertical channels partially filled with porous substrates are presented Four fundamental boundary conditions have been investigated and the correspondi ng fundamental solutions computed These four fundamental boundary condition s were obtained by combining each of the two conditions of one boundary mai ntained at uniform heat flux and one at uniform wall temperature; in each c ondition the opposite boundary is kept adiabatic or isothermal at the inlet fluid temperature. Expressions for the fully developed velocity, temperatu re, mixing cup temperature, volumetric flow rate, friction coefficient, and Nusselt number are given for each fundamental solution. Such fully develop ed values are approached, in a given channel, when the height-to-gap width ratio is sufficiently large. These values represent the limiting conditions and provide analytical checks on numerical solutions for steady and transi ent developing flows.