On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space

• Autorzy: El-Sirafy I. H. , Aboutahoun A. W.

Identyfikatory

DOI

10.1515/bpasts-2016-0007

• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.

Słowa kluczowe

EN

micropolar fluid; axisymmetrical motion; Laplace-Hankel transforms

PL

problem brzegowy; płyn mikropolarny; transformacja Laplace'a; transformacja Hankela i Laplace'a; warunek brzegowy Hankela

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2016
• Tom: Vol. 64, nr 1
• Strony: 51--62
• Opis fizyczny: Bibliogr. 14 poz., wykr., tab.

Twórcy

autor

El-Sirafy I. H.

• Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

autor

Aboutahoun A. W.

• Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

Bibliografia

• [1] A.C. Eringen, “Theory of micropolar fluids”, J. Math. Mech. 16, 1-18 (1966).
• [2] A.C. Eringen, Microcontinuum Field Theories I and II, Springer-Verlag, New York, 1998
• [3] I.H. El-Sirafy, “Two-dimensional flow of nonstationary micropolar fluid in the half-plane for which the shear stresses are given on the boundary”, J. Computational and Applied Mathematics 12 (13), 271-276 (1985).
• [4] I.H. El-Sirafy and A.M. Abdel-Moneim, “Two-dimensional unsteady motion of micropolar fluid in the half-plane when the velocity are given on the boundary”, IJRRAS 6 (3), 302-309 (2011).
• [5] R.S. Gorla, M.A. Mansour, and A.A. Mohammedien, “Combined convection in an axisymmetric stagnation flow of micropolar fluid”, Int. J. Num. Meth. Heat Fluid Flow 6 (4), 47-55 (1996).
• [6] H. Bateman, Tables of Integral Transforms, vol. 1, McGraw- Hill, New York, 1954.
• [7] M.S. Faltas, H.H. Sherief, and E.A. Ashmawy, “Interaction of two spherical particles rotating in a micropolar fluid”, Mathematical and Computer Modelling 56 (9-10), 229-239 (2012).
• [8] Y.Y. Lok, N. Amin, and I. Pop, “Unsteady mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface”, Int. J. Thermal Sciences 45, 1149-1157 (2006).
• [9] K.A. Kline and S.J. Allen, “Nonsteady flows of fluids with microstructure”, Physics of Fluids 13, 263-283 (1970).
• [10] G. Łukaszewicz, Micropolar Fluids, Theory and Application, Birkhouser, Berlin, 1999.
• [11] G. Ahmadi, “Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite flat plate”, Int. J. Engineering and Science 14, 639-646 (1976).
• [12] S.J. Allen and K.A. Kline, “Lubrication theory for micropolar fluids”, Trans. A.S.M.E. J. Appl. Mech. 38, 646-650 (1971).
• [13] D.A. Rees and A.P. Bassom, “The Blasius boundary layer flow of a micropolar fluid”, Int. J. Engineering and Science 34, 113-124 (1996).
• [14] A. Kucaba-Piętal, “Microchannels flow modelling with the micropolar fluid theory”, Bul. Pol. Ac.: Tech. 52 (3), 209-214 (2004).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016.