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Article

Axisymmetric Stagnation-Point Flow and Heat Transfer of a Viscous Fluid on a Moving Cylinder With Time-Dependent Axial Velocity and Uniform Transpiration

[+] Author and Article Information
R. Saleh

Faculty of Engineering, Azad Univ., Mashhad, Iran

A. B. Rahimi

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

J. Fluids Eng 126(6), 997-1005 (Mar 11, 2005) (9 pages) doi:10.1115/1.1845556 History: Received October 31, 2002; Revised November 12, 2003; Online March 11, 2005
Copyright © 2004 by ASME
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References

Hiemenz,  K., 1911, “Die Grenzchicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten geraden Kreiszylinder,” Dinglers Polytechnic J.,326, pp. 321–410.
Homann,  F. Z., 1936, “Der Einfluss grosser Zahighkeit bei der Strmung um den Zylinder und um die Kugel,” Z. Angew. Math. Mech., 16, pp. 153–164.
Howarth,  L., 1951, “The Boundary Layer in Three-Dimensional Flow. Part II. The Flow Near a Stagnation Point,” Philos. Mag., 42, pp. 1433–1440.
Davey,  A., 1951, “Boundary Layer Flow at a Saddle Point of Attachment,” J. Fluid Mech., 10, pp. 593–610.
Wang,  C., 1974, “Axisymmetric Stagnation Flow on a Cylinder,” Q. Appl. Math., 32, pp. 207–213.
Gorla,  R. S. R., 1977, “Unsteady Laminar Axisymmetric Stagnation Flow Over a Circular Cylinder,” Development in Mechanics,9, pp. 286–288.
Gorla,  R. S. R., 1978, “Nonsimilar Axisymmetric Stagnation Flow on a Moving Cylinder,” Int. J. Eng. Sci., 16, pp. 392–400.
Gorla,  R. S. R., 1978, “Transient Response Behavior of an Axisymmetric Stagnation Flow on a Circular Cylinder Due to Time-Dependent Free Stream Velocity,” Lett. Appl. Eng. Sci., 16, pp. 493–502.
Gorla,  R. S. R., 1979, “Unsteady Viscous Flow in the Vicinity of an Axisymmetric Stagnation-Point on a Cylinder,” Int. J. Eng. Sci., 17, pp. 87–93.
Gorla,  R. S. R., 1976, “Heat Transfer in an Axisymmetric Stagnation Flow on a Cylinder,” Appl. Sci. Res., 32, pp. 541–553.
Cunning,  G. M., Davis,  A. M. J., and Weidman,  P. D., 1998, “Radial Stagnation Flow on a Rotating Cylinder With Uniform Transpiration,” J. Eng. Math., 33, pp. 113–128.
Takhar,  H. S., Chamkha,  A. J., and Nath,  G., 1999, “Unsteady Axisymmetric Stagnation-Point Flow of a Viscous Fluid on a Cylinder,” Int. J. Eng. Sci., 37, pp. 1943–1957.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1997, Numerical Recipes, The Art of Scientific Computing, Cambridge University Press, Cambridge.

Figures

Grahic Jump Location
Sample profiles of h1(η) and h2(η) for cylinder with (a) axial harmonic oscillation, (b) accelerating and decelerating oscillatory motion for selected values of α, β and suction rates
Grahic Jump Location
Schematic diagram of an axially moving cylinder under radial stagnation flow in the fixed cylindrical coordinate system (r,φ,z)
Grahic Jump Location
Sample profiles of, (a) h(η), (b) axial shear-stress parameter, for cylinder with accelerating and decelerating exponential axial velocity for selected values of suction and blowing rates
Grahic Jump Location
Real part of axial shear-stress at z=0 for cylinder with (a) harmonic oscillation for β=0, 1, (b) accelerating and decelerating oscilllatory motion for α=−1, 0, 2, and β=1, for selected values of suction rates
Grahic Jump Location
Sample profiles of H(η,τ) for (a) step-function, (b) linear function, for selected values of time steps
Grahic Jump Location
Sample profiles of θ(η) for, (a) wall temperature, (b) wall heat flux, varying exponentialy with time, for Re=10, Pr=1, and s=0, 1, −0.8
Grahic Jump Location
Sample profiles of θ1(η) and θ2(η) for, (a) wall temperature, (b) wall heat flux, varying harmonically with time, for Re=10, Pr=1, and selected values of suction and blowing rates
Grahic Jump Location
Sample profiles of θ1(η) and θ2(η) for, (a) wall temperature, (b) wall heat flux, varying with accelerating and decelerating oscillatory function of time, for Pr=1, and Re=10, and s=0, and selected values of γ and δ
Grahic Jump Location
Sample profiles of θ1(η) and θ2(η) for, (a) wall temperature, (b) wall heat flux, varying with accelerating oscillatory function of time, for Re=1, 10, 100, and Pr=0.1, 1.0, 10, and s=0, and γ=0.5, 1 and δ=1

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