Heat transfer flow of a fourth-grade fluid in a non-darcy porous medium with thermophysical effects

Mohammed Abdulhameed, Mahathir Mohamad, Ishak Hashim, Rozaini Roslan

Research output: Contribution to journalArticle

Abstract

An optimal homotopy asymptotic modeling for a fourth-grade viscoelastic fluid with thermophysical effects baked into a Forchheimer porous medium is presented. The series solution for both the fluid velocity and temperature distributions are developed and the recurrence relations are given explicitly. The effects of Darcy-Forchheimer parameters on skin friction as well as the Nusselt number are discussed. The results reveal that the proposed modeling is effective and easy to apply for a strongly nonlinear system in a boundary-layer problem.

Original languageEnglish
Pages (from-to)1121-1139
Number of pages19
JournalHeat Transfer Research
Volume47
Issue number12
Publication statusPublished - 2016

Fingerprint

Porous materials
grade
heat transfer
Heat transfer
Fluids
skin friction
Skin friction
fluids
Nusselt number
Velocity distribution
nonlinear systems
Nonlinear systems
boundary layers
Boundary layers
Temperature distribution
temperature distribution
velocity distribution

Keywords

  • Darcy-forchheimer medium
  • Fourth-grade fluid
  • Mixed convection
  • Nonlinear couple equations
  • Optimal homotopy asymptotic method (OHAM)
  • Permeable walls

ASJC Scopus subject areas

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

Cite this

Heat transfer flow of a fourth-grade fluid in a non-darcy porous medium with thermophysical effects. / Abdulhameed, Mohammed; Mohamad, Mahathir; Hashim, Ishak; Roslan, Rozaini.

In: Heat Transfer Research, Vol. 47, No. 12, 2016, p. 1121-1139.

Research output: Contribution to journalArticle

Abdulhameed, Mohammed ; Mohamad, Mahathir ; Hashim, Ishak ; Roslan, Rozaini. / Heat transfer flow of a fourth-grade fluid in a non-darcy porous medium with thermophysical effects. In: Heat Transfer Research. 2016 ; Vol. 47, No. 12. pp. 1121-1139.
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