Mixed convection adjacent to inclined flat surfaces embedded in a porous medium

Jiin-Yuh Jang, J. R. Ni

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

An analysis is performed to study the flow and heat transfer characteristics of laminar mixed convection boundary layer flows from inclined (including horizontal and vertical) surfaces embedded in a saturated porous medium with constant aiding external flows and uniform surface temperature. Both the streamwise and normal components of the buoyancy forces are retained in the momentum equations. Nondimensionalization of the boundary layer equations results in the following three governing parameter: (1)Gr/Re, the ratio of the Grashof number to the Reynolds number; (2)Pex=RexPr, the Peclet number; (3) φ, the angle of inclination from the horizontal. The resulting nonsimilar equations are solved by an efficient implicit finite-difference scheme. Numerical results are presented for flows with different values of Gr/Re in the range of 0 to 50, over a wide range of the Peclet numbers Pex, and various values of φ ranging from 0 to 90 degrees. It is found that the local surface heat transfer rate increases with increasing the local Peclet number. In addition, as the plate is tilted from the horizontal to the vertical orientation, the local Nusselt number increases for a given Peclet number and the effect of the buoyancy force on the surface heat transfer rate increases.

Original languageEnglish
Pages (from-to)103-108
Number of pages6
JournalWärme- und Stoffübertragung
Volume27
Issue number2
DOIs
Publication statusPublished - 1992 Feb 1

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Mixed convection
Peclet number
Porous materials
flat surfaces
convection
heat transfer
Heat transfer
Buoyancy
buoyancy
vertical orientation
Grashof number
boundary layer equations
boundary layer flow
Boundary layer flow
Nusselt number
surface temperature
inclination
Reynolds number
Momentum
Boundary layers

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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Mixed convection adjacent to inclined flat surfaces embedded in a porous medium. / Jang, Jiin-Yuh; Ni, J. R.

In: Wärme- und Stoffübertragung, Vol. 27, No. 2, 01.02.1992, p. 103-108.

Research output: Contribution to journalArticle

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AB - An analysis is performed to study the flow and heat transfer characteristics of laminar mixed convection boundary layer flows from inclined (including horizontal and vertical) surfaces embedded in a saturated porous medium with constant aiding external flows and uniform surface temperature. Both the streamwise and normal components of the buoyancy forces are retained in the momentum equations. Nondimensionalization of the boundary layer equations results in the following three governing parameter: (1)Gr/Re, the ratio of the Grashof number to the Reynolds number; (2)Pex=RexPr, the Peclet number; (3) φ, the angle of inclination from the horizontal. The resulting nonsimilar equations are solved by an efficient implicit finite-difference scheme. Numerical results are presented for flows with different values of Gr/Re in the range of 0 to 50, over a wide range of the Peclet numbers Pex, and various values of φ ranging from 0 to 90 degrees. It is found that the local surface heat transfer rate increases with increasing the local Peclet number. In addition, as the plate is tilted from the horizontal to the vertical orientation, the local Nusselt number increases for a given Peclet number and the effect of the buoyancy force on the surface heat transfer rate increases.

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