0
Research Papers: Heat and Mass Transfer

Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Dusty Fluid Toward a Stretching Sheet

[+] Author and Article Information
M. R. Mohaghegh

Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box No. 91775-1111,
Mashhad 9177948974, Iran

Asghar B. Rahimi

Professor
Faculty of Engineering,
Ferdowsi University of Mashhad,
P.O. Box No. 91775-1111,
Mashhad 9177948974, Iran
e-mail: rahimiab@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 27, 2015; final manuscript received May 11, 2016; published online June 14, 2016. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 138(11), 112001 (Jun 14, 2016) (12 pages) Paper No: HT-15-1504; doi: 10.1115/1.4033614 History: Received July 27, 2015; Revised May 11, 2016

The steady three-dimensional stagnation-point flow and heat transfer of a dusty fluid toward a stretching sheet is investigated by using similarity solution approach. The freestream along z-direction impinges on the stretching sheet to produce a flow with different velocity components. The governing equations are transformed into ordinary differential equations by introducing appropriate similarity variables and an exact solution is obtained. The nonlinear ordinary differential equations are solved numerically using Runge–Kutta fourth-order method. The effects of the physical parameters like velocity ratio, fluid and thermal particle interaction parameter, ratio of freestream velocity parameter to stretching sheet velocity parameter, Prandtl number, and Eckert number on the flow field and heat transfer characteristics are obtained, illustrated graphically, and discussed. Also, a comparison of the obtained numerical results is made with two-dimensional cases existing in the literature and good agreement is approved. Moreover, it is found that the heat transfer coefficient and shear stress on the surface for axisymmetric case are larger than nonaxisymmetric case. Also, for stationary flat plat case, a similarity solution is presented and a comparison of the obtained results is made with previously published results and full agreement is reported.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Schematic geometry of the flow configuration

Grahic Jump Location
Fig. 2

Dimensionless profiles of u,up velocity components for different values of λ when γ=0.2 and β=0.5

Grahic Jump Location
Fig. 3

Dimensionless profiles of v,vp velocity components for different values of λ when γ=0.2 and β=0.5

Grahic Jump Location
Fig. 4

Dimensionless profiles of u,up velocity components for different values of λ when γ = 2.0 and β=0.5

Grahic Jump Location
Fig. 5

Dimensionless profiles of v,vp velocity components for different values of λ when γ = 2.0 and β=0.5

Grahic Jump Location
Fig. 6

Dimensionless temperature profiles for different values of λ when β=0.5, βT=0.5, Pr=0.72, Ecx=Ecy=1.0, and γ=0.2

Grahic Jump Location
Fig. 7

Dimensionless temperature profiles for different values of λ when β=0.5, βT=0.5, Pr=0.72, Ecx=Ecy=1.0, and γ=2.0

Grahic Jump Location
Fig. 8

Effect of the velocity ratio λ on g′ profiles when γ=2.0 and β=0.5

Grahic Jump Location
Fig. 9

Effect of the velocity ratio λ on dimensionless velocity profiles f′ and (f′+g′) when γ=2.0 and β=0.5

Grahic Jump Location
Fig. 10

Dimensionless profiles of u, up velocity components for different values of γ when λ=0.5 and β=0.5

Grahic Jump Location
Fig. 11

Dimensionless profiles of v, vp velocity components for different values of γ when λ=0.5 and β=0.5

Grahic Jump Location
Fig. 12

Effect of velocity ratio λ parameter on f, g, and dimensionless velocity profiles w/cv when γ=2.0 and β=0.5

Grahic Jump Location
Fig. 13

Dimensionless profiles of w,wp velocity components for different values of λ when γ=0.2 and β=0.5

Grahic Jump Location
Fig. 14

Dimensionless profiles of f, g, G, and K for different values of λ when γ=0.2 and β=0.5

Grahic Jump Location
Fig. 15

Dimensionless profiles of u, up velocity components for different values of β when λ=0.5 and γ=0.2

Grahic Jump Location
Fig. 16

Dimensionless profiles of v, vp velocity components for different values of β when λ=0.5 and γ=0.2

Grahic Jump Location
Fig. 17

Dimensionless profiles of u, up velocity components for different values of β when λ=0.5 and γ=2.0

Grahic Jump Location
Fig. 18

Dimensionless profiles of v, vp velocity components for different values of β when λ=0.5 and γ=2.0

Grahic Jump Location
Fig. 19

Dimensionless temperature profiles for different values of β when λ=0.5, γ=0.2, Pr=0.72, and Ecx=Ecy=1.0

Grahic Jump Location
Fig. 20

Dimensionless temperature profiles for different values of βT when λ=0.5, γ=0.2, Pr=0.72, and Ecx=Ecy=1.0

Grahic Jump Location
Fig. 21

Dimensionless temperature profiles for different values of Ecx when λ=0.5, γ=0.2, β=0.5, βT=0.5, and Pr=0.72

Grahic Jump Location
Fig. 22

Dimensionless temperature profiles for different values of Ecy when λ=0.5, γ=0.2, β=0.5, βT=0.5, and Pr=0.72

Grahic Jump Location
Fig. 23

Dimensionless temperature profiles for different values of Pr when λ=0.5, γ=0.2, β=0.5, βT=0.5, and Ecx=Ecy=1.0

Grahic Jump Location
Fig. 24

Comparison of dimensionless velocity profiles f′, g′, and f′+g′ when λ=0.1

Grahic Jump Location
Fig. 25

Comparison of dimensionless velocity profiles f′, g′, and f′+g′ when λ=0.5

Grahic Jump Location
Fig. 26

Comparison of dimensionless profiles f, g and velocity profile w/av when λ=0.1

Grahic Jump Location
Fig. 27

Comparison of dimensionless profiles f, g and velocity profile w/av when λ=0.5

Grahic Jump Location
Fig. 28

Dimensionless profiles of u, up velocity components for different values of λ when β=0.5

Grahic Jump Location
Fig. 29

Dimensionless profiles of v, vp velocity components for different values of λ when β=0.5

Grahic Jump Location
Fig. 30

Dimensionless profiles of u, up velocity components for different values of β when λ=0.5 and γ=0.2

Grahic Jump Location
Fig. 31

Dimensionless profiles of v, vp velocity components for different values of β when λ=0.5 and γ=0.2

Grahic Jump Location
Fig. 32

Dimensionless temperature profiles for different values of β when λ=0.5 and γ=0.2

Grahic Jump Location
Fig. 33

Dimensionless temperature profiles for different values of βT when λ=0.5 and γ=0.2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In