In this paper, the unsteady boundary-layer flow over a semi-infinite flat plate is solved by means of an analytic approach. Via an ad hoc technique based on the boundary-layer flow evolution, an analytic expression of the velocity profile is proposed. The proposed formula verifies well the results given by Rayleigh, Blasius, and Williams–Rhyne for all time, thus for all Strouhal number values, which is the characteristic of the studied problem. As the main results, the local skin friction depending on a Strouhal number is given in an aim to show an explanation on the flow evolutions from the initial solution to the steady solution in the whole spatial region. This approach permits us to take many applications in engineering technology when the analytic expressions of the velocity, temperature, and matter are looked for.
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March 2011
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Analytical Approach of Unsteady Boundary-Layer Flows Over a Semi-Infinite Plate for All Strouhal Numbers
Mohamed Bachiri,
Mohamed Bachiri
Thermodynamics and Energetical Systems Laboratory, Faculty of Physics,
e-mail: mabach73@yahoo.fr
USTHB
, BP 32 El Alia, 16111 Bab Ezzouar-Algiers, Algeria
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Ahcene Bouabdallah
Ahcene Bouabdallah
Thermodynamics and Energetical Systems Laboratory, Faculty of Physics,
USTHB
, BP 32 El Alia, 16111 Bab Ezzouar-Algiers, Algeria
Search for other works by this author on:
Mohamed Bachiri
Thermodynamics and Energetical Systems Laboratory, Faculty of Physics,
USTHB
, BP 32 El Alia, 16111 Bab Ezzouar-Algiers, Algeriae-mail: mabach73@yahoo.fr
Ahcene Bouabdallah
Thermodynamics and Energetical Systems Laboratory, Faculty of Physics,
USTHB
, BP 32 El Alia, 16111 Bab Ezzouar-Algiers, AlgeriaJ. Appl. Mech. Mar 2011, 78(2): 024501 (5 pages)
Published Online: November 8, 2010
Article history
Received:
October 2, 2009
Revised:
August 23, 2010
Posted:
September 16, 2010
Published:
November 8, 2010
Online:
November 8, 2010
Citation
Bachiri, M., and Bouabdallah, A. (November 8, 2010). "Analytical Approach of Unsteady Boundary-Layer Flows Over a Semi-Infinite Plate for All Strouhal Numbers." ASME. J. Appl. Mech. March 2011; 78(2): 024501. https://doi.org/10.1115/1.4002571
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