Mathematical model of boundary layer flow over a moving plate in a nanofluid with viscous dissipation

M. K A Mohamed, N. A Z Noar, M. Z. Salleh, Anuar Mohd Ishak

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing non-linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically using the Keller-box method. Numerical solutions are obtained for the Nusselt number, Sherwood number and the skin friction coefficient as well as the concentration and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, plate velocity parameter, Brownian motion and thermopherosis parameters, Eckert number and Lewis number are analyzed and discussed. It is found that the presence of viscous dissipation reduces the range of the plate velocity parameter for which the solution exists. The increase of both Brownian motion and thermophoresis parameters results to the decrease of the Nusselt number, while the Sherwood number increases with the increase of the thermophoresis parameter.

Original languageEnglish
Pages (from-to)2369-2377
Number of pages9
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number5
Publication statusPublished - 2016

Fingerprint

Thermophoresis
boundary layer flow
Boundary layer flow
Brownian movement
Nusselt number
mathematical models
dissipation
Mathematical models
Skin friction
Prandtl number
thermophoresis
Ordinary differential equations
Partial differential equations
Heat transfer
Temperature
Lewis numbers
skin friction
wall temperature
partial differential equations
temperature profiles

Keywords

  • Constant wall temperature
  • Moving plate
  • Nanofluid
  • Viscous dissipation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Mathematical model of boundary layer flow over a moving plate in a nanofluid with viscous dissipation. / Mohamed, M. K A; Noar, N. A Z; Salleh, M. Z.; Mohd Ishak, Anuar.

In: Journal of Applied Fluid Mechanics, Vol. 9, No. 5, 2016, p. 2369-2377.

Research output: Contribution to journalArticle

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AB - In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing non-linear partial differential equations are first transformed into a system of ordinary differential equations using a similarity transformation. The transformed equations are then solved numerically using the Keller-box method. Numerical solutions are obtained for the Nusselt number, Sherwood number and the skin friction coefficient as well as the concentration and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, plate velocity parameter, Brownian motion and thermopherosis parameters, Eckert number and Lewis number are analyzed and discussed. It is found that the presence of viscous dissipation reduces the range of the plate velocity parameter for which the solution exists. The increase of both Brownian motion and thermophoresis parameters results to the decrease of the Nusselt number, while the Sherwood number increases with the increase of the thermophoresis parameter.

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