On the similarity solution of nano-fluid flow over a moving flat plate using the homotopy analysis method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The present article discusses the characteristics of Newtonian water-base-Copper nano-fluid flowing over an infinite flat plate moving with a constant velocity in the direction of the flow. The non-classical similarity transformation is employed to transform the Navier-Stokes equation into a nonlinear ordinary differential equation with specific boundary conditions. The Homptopy analysis method (HAM) is employed to solve the resulting nonlinear differential equation to study the effects of the nanoparticle volume fraction and wall velocity on the flow velocity profile, the boundary layer thickness and the local skin friction coefficient. The existence and non-uniqueness of the solution as a function of the wall velocity will be also discussed.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pages1833-1837
Number of pages5
Edition1
DOIs
Publication statusPublished - Dec 1 2012
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece
Duration: Sep 19 2012Sep 25 2012

Publication series

NameAIP Conference Proceedings
Number1
Volume1479
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Country/TerritoryGreece
CityKos
Period9/19/129/25/12

Keywords

  • Homotopy analysis method
  • Nano-fluid
  • moving flat plate
  • similarity solutions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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