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Research Papers: Fundamental Issues and Canonical Flows

On a Seemingly New Three-Dimensional Stagnation-Point Flow

[+] Author and Article Information
Patrick D. Weidman

Department of Mechanical Engineering,
University of Colorado,
Boulder, CO 80309-0427

Eugen Magyari

Department Physik,
Theoretische Physik,
Universität Basel,
Klingelbergstrasse 82,
CH 4056 Basel, Switzerland

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 18, 2012; final manuscript received April 22, 2013; published online June 3, 2013. Assoc. Editor: Malcolm J. Andrews.

J. Fluids Eng 135(8), 081202 (Jun 03, 2013) (3 pages) Paper No: FE-12-1640; doi: 10.1115/1.4024383 History: Received December 18, 2012; Revised April 22, 2013

In a recent paper by Abbassi and Rahimi (2009, “Nonaxisymmetric Three-Dimensional Stagnation-Point Flow and Heat Transfer on a Flat Plate,’’ ASME J. Fluids Eng, 131(7), p. 074501) the existence of a new nonaxisymmetric 3D stagnation-point flow has been reported. The present paper shows, however, that the model of Abbassis and Rahimi is fully equivalent to the classical 3D stagnation-point flow of Howarth (1951, “The Boundary Layer in Three-Dimensional Flow—Part II: The Flow Near a Stagnation Point,’’ Philos. Mag., 42, pp. 1433–1440) published more than sixty years ago. Thus their “new’’ solution can be recovered from Howarth's known solution by simple transformations, without any additional research effort. Once this flow problem is solved, the solution of the heat transfer problem of Abbassi and Rahimi (2009, “Nonaxisymmetric Three-Dimensional Stagnation-Point Flow and Heat Transfer on a Flat Plate,’’ ASME J. Fluids Eng, 131(7), p. 074501) can be calculated by a semi-analytical or by a usual numerical procedure.

Copyright © 2013 by ASME
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