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Technical Brief

Uniform Flow Over a Bi-axial Stretching Surface

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: cywang@mth.msu.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 29, 2014; final manuscript received December 15, 2014; published online March 27, 2015. Assoc. Editor: Oleg Schilling.

J. Fluids Eng 137(8), 084502 (Aug 01, 2015) (3 pages) Paper No: FE-14-1478; doi: 10.1115/1.4029447 History: Received August 29, 2014; Revised December 15, 2014; Online March 27, 2015

The uniform flow over a bi-axial stretching surface is studied by similarity transform of the Navier–Stokes equations and an efficient numerical integration of the resulting ordinary differential equations. The uniform flow induces a net shear stress (and drag), which is increased by lateral stretching. Heat transfer from the surface is also determined.

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Figures

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Fig. 1

Uniform flow over a bi-axial stretching surface

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Fig. 2

The function f'(η). From top: α =  0, 0.2, 0.5, and 1.

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Fig. 3

The function h(η). From top: α =  1, 0.5, 0.2, and 0.

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Fig. 4

The lateral velocity profile g'(η). From top: α =  1, 0.5, 0.2, and 0.

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Fig. 5

The temperature distribution τ(η). Solid lines are for Pr = 7 and dashed lines are for Pr = 0.7. Within each group the top curve is the uni-axial stretch α = 0, and the bottom curve is the axisymmetric stretch α = 1.

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