Analysis of fully developed flow and heat transfer in a vertical channel with prescribed wall heat fluxes by the homotopy analysis method

A. K. Alomari, Ishak Hashim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The model of combined forced and free convection in a vertical parallel-plate channel with prescribed wall heat fluxes was presented by considering a fully developed flow and by taking into account the effect of viscous dissipation. In this paper, homotopy solution for the model is obtained. Convergent region of the homotopy analysis method solution is presented. Residual error for the HAM solution is presented graphically.

Original languageEnglish
Pages (from-to)805-819
Number of pages15
JournalInternational Journal for Numerical Methods in Fluids
Volume67
Issue number7
DOIs
Publication statusPublished - 10 Nov 2011

Fingerprint

Homotopy Analysis Method
Heat Flux
HAM Solution
Heat flux
Heat Transfer
Vertical
Heat transfer
Viscous Dissipation
Forced Convection
Free Convection
Homotopy
Forced convection
Natural convection
Model
Graphics

Keywords

  • Free convection
  • Fully developed flow
  • Homotopy analysis method
  • Mixed convection
  • Vertical parallel-plate channel
  • Viscous dissipation

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Applied Mathematics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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abstract = "The model of combined forced and free convection in a vertical parallel-plate channel with prescribed wall heat fluxes was presented by considering a fully developed flow and by taking into account the effect of viscous dissipation. In this paper, homotopy solution for the model is obtained. Convergent region of the homotopy analysis method solution is presented. Residual error for the HAM solution is presented graphically.",
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AU - Alomari, A. K.

AU - Hashim, Ishak

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N2 - The model of combined forced and free convection in a vertical parallel-plate channel with prescribed wall heat fluxes was presented by considering a fully developed flow and by taking into account the effect of viscous dissipation. In this paper, homotopy solution for the model is obtained. Convergent region of the homotopy analysis method solution is presented. Residual error for the HAM solution is presented graphically.

AB - The model of combined forced and free convection in a vertical parallel-plate channel with prescribed wall heat fluxes was presented by considering a fully developed flow and by taking into account the effect of viscous dissipation. In this paper, homotopy solution for the model is obtained. Convergent region of the homotopy analysis method solution is presented. Residual error for the HAM solution is presented graphically.

KW - Free convection

KW - Fully developed flow

KW - Homotopy analysis method

KW - Mixed convection

KW - Vertical parallel-plate channel

KW - Viscous dissipation

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