Czasopismo
2007
|
Vol. 12, no 4
|
975-988
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Two-dimensional, unsteady, laminar equations of motions of an incompressible fluid with variable viscosity are considered. The problem investigated is the flow for which the vorticity distribution is proportional to the stream function perturbed by a generalized uniform stream making an angle with the positive x-axis. Employing transformation variables, the goveming Navier-Stocks Equations (NSE) are transformed into steady state equations and then simple ordinary differential equations and a class of exact solutions are obtained. Several graphs of physical interest of streamline are also displayed and discussed.
Rocznik
Tom
Strony
975-988
Opis fizyczny
Bibliogr. 23 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics and Basic Sciences, NED University of Engineering and Technology Karachi-75270, PAKISTAN, jqrza26@gmail.com
Bibliografia
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- Chandna O.P. and Oku-Ukpong E.O. (1993): Unsteady second grade aligned MHD fluid flow. - Acta Mechanica, vol.107, pp.77-91.
- Hui W.H. (1987): Exact solutions of the unsteady two-dimensional Navier-Stokes equations. - Journal of Applied Mathematics and Physics, vol.38, pp.689-702.
- Jeffrey G.B. (1915): On the two-dimensional steady motion of a viscous fluid. - Phil. Mag., vol.29, pp.455-464.
- Kampe De Feriet J. (1930): Sur quelques cas d'integration des equations du mouvement plan d'un fluid visqueux incopmpressible. - Proc. Int. Congr. Appl. Mech., 3 rd. Stockholm 1, pp.334-338.
- Kovasznay L.I.G. (1948): Laminar flow behind a two-dimensional grid. - Proc Cambridge Phil. Soc., vol.44, pp.58-62.
- Labropulu F. (2000): Exact solutions of non-Newtonian fluid flows with prescribed vorticity. - Acta Mechanica, vol.141, pp.11-20.
- Lin S.P. and Tobak M. (1986): Reversed flow above a plate with suction. - AIAAJ, vol.24, pp.334-335.
- Jamil M. and Khan N.A. (2006): Some exact solutions of equations of motion of a finitely conducting incompressible fluid of variable viscosity in the presence of a transverse magnetic field by transformation method. - ARPN Journal of Engineering and Applied Sciences, vol.1, No.2, pp.5-25.
- Nemenyi P.F. (1951): Recent development in inverse and semi-inverse method in the mechanics of continua. - Adv. Appl. Mech., vol.11, pp.123-151.
- Muhammad R. Mohyuddin, Asghar S., Hayat T. and Siddiqui A.M. (2006): On semi-inverse solutions for the time-dependent flows of a second-grade fluid. - Mathematical Problems in Engineering, vol.2006, pp.1-22.
- Munson B.R., Young D.F. and Okiishi T.H. (1998): Differential Analysis of fluid flows, In: Fundamentals of Fluid Mechanics (3 rd Ed.). - New York: John Wiley and Sons.
- Naeem R.K. and Jamil M. (2005): A class of exact solutions of an incompressible fluid of variable viscosity. - Quaid-E-Awam University Research Journal of Engineering, Science and Technology, vol.6, No.1/2, pp.11-18.
- Oku-Ukpong E.O. and Chandna O.P. (1993): Some reversed and non-reversed flows of a second grade fluid. - Mech. Res. Comm., vol.20, pp.73-82.
- Rajagopal K.R. (1980): On the decay of vortices in a second grade fluid. - Mechanica, vol.9, pp.185-188.
- Rajagopal K.R. and Gupta A.S. (1981): On class of exact solutions to the equations of motion of a second grade fluid. - Int. J. Eng. Sci., vol.19, pp.1009-1014.
- Riabouchinsky D. (1936): Some considerations regarding plane irrotational motion of a liquid. - C.R.S. Acad. Sci., Paris, vol.179, pp.1133-1136.
- Siddiqui A.M. and Kaloni P.N. (1986): Certain inverse solutions of a non-Newtonian fluid. - Int. J. Non-linear Mech., vol.21, pp.459-473.
- Ting T.W. (1963): Certain non-steady flows of second order fluids. - Arch. Rat. Mech. Anal., vol.14, pp.1-26.
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- Wang C.Y. (1991): Exact solutions of the steady-state Navier-Stockes equations. - Annu. Rev. Fluid Mech., vol.23, pp.159-177.
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Bibliografia
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