Exponentially stagnation point flow of non-Newtonian Nanofluid over an exponentially stretching surface

S. Nadeem, M. A. Sadiq, Jung Il Choi, Changhoon Lee

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are simplified with the help of suitable semi-similar transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions have been discussed by plotting h-curve. The expressions for velocity, temperature and nano particle volume fraction are computed for some values of the parameters namely, Jeffrey relaxation and retardation parameters B and λ1, stretching/ shrinking parameter A, suction injection parameter vw, Lewis number Le, the Brownian motion Nb, thermophoresis parameter Nt and Prandtl number Pr.

Original languageEnglish
Pages (from-to)171-180
Number of pages10
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume15
Issue number3-4
DOIs
Publication statusPublished - 2014 Jun

Fingerprint

Thermophoresis
Stagnation Point Flow
Stretching Surface
Nanofluid
stagnation point
Brownian movement
Stretching
Boundary layers
Prandtl number
thermophoresis
Homotopy Analysis Method
Partial differential equations
Volume fraction
Brownian motion
Boundary Layer
boundary layers
Lewis numbers
plotting
suction
Suction

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modelling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

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abstract = "The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are simplified with the help of suitable semi-similar transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions have been discussed by plotting h-curve. The expressions for velocity, temperature and nano particle volume fraction are computed for some values of the parameters namely, Jeffrey relaxation and retardation parameters B and λ1, stretching/ shrinking parameter A, suction injection parameter vw, Lewis number Le, the Brownian motion Nb, thermophoresis parameter Nt and Prandtl number Pr.",
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AU - Sadiq, M. A.

AU - Choi, Jung Il

AU - Lee, Changhoon

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AB - The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are simplified with the help of suitable semi-similar transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions have been discussed by plotting h-curve. The expressions for velocity, temperature and nano particle volume fraction are computed for some values of the parameters namely, Jeffrey relaxation and retardation parameters B and λ1, stretching/ shrinking parameter A, suction injection parameter vw, Lewis number Le, the Brownian motion Nb, thermophoresis parameter Nt and Prandtl number Pr.

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