# Investigation of heat transfer in square porous-annulus

Irfan Anjum Badruddin, Abdullah A.A.A. Al-Rashed, N. J. Salman Ahmed, Sarfaraz Kamangar

Research output: Contribution to journalArticle

81 Citations (Scopus)

### Abstract

The current study is focused to analyze the heat transfer characteristics in a porous duct. The mathematical model of heat transfer in a porous duct was solved by converting the governing partial differential equations into a set of algebraic equations with the help of finite element method. A simple three noded triangular element is used to mesh the duct domain. The current problem consists of a square duct with outer walls being exposed to hot temperature T h, and inner walls subjected to cool temperature T c. Emphasis is given to investigate the effect of width ratio of cavity on heat and fluid flow characteristics inside the porous medium. The results are reported for various duct width ratios, Rayleigh number etc. It is found that the Nusselt number increases with increase in height of cavity along the vertical walls of duct; however the Nusselt number for certain values of duct ratio oscillates along the width of the porous medium at bottom wall of the cavity.

Original language English 2184-2192 9 International Journal of Heat and Mass Transfer 55 7-8 https://doi.org/10.1016/j.ijheatmasstransfer.2011.12.023 Published - Mar 2012

### Fingerprint

annuli
ducts
Ducts
heat transfer
Heat transfer
Nusselt number
cavities
Porous materials
flow characteristics
Rayleigh number
heat transmission
partial differential equations
Partial differential equations
fluid flow
Flow of fluids
mesh
mathematical models
finite element method
Mathematical models
Finite element method

### Keywords

• FEM
• Heat transfer
• Porous medium
• Square duct
• Width ratio

### ASJC Scopus subject areas

• Condensed Matter Physics
• Mechanical Engineering
• Fluid Flow and Transfer Processes

### Cite this

Investigation of heat transfer in square porous-annulus. / Badruddin, Irfan Anjum; Al-Rashed, Abdullah A.A.A.; Salman Ahmed, N. J.; Kamangar, Sarfaraz.

In: International Journal of Heat and Mass Transfer, Vol. 55, No. 7-8, 03.2012, p. 2184-2192.

Research output: Contribution to journalArticle

Badruddin, Irfan Anjum ; Al-Rashed, Abdullah A.A.A. ; Salman Ahmed, N. J. ; Kamangar, Sarfaraz. / Investigation of heat transfer in square porous-annulus. In: International Journal of Heat and Mass Transfer. 2012 ; Vol. 55, No. 7-8. pp. 2184-2192.
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