Unsteady three-dimensional MHD flow due to impulsive motion with heat and mass transfer past a stretching sheet in a saturated porous medium

• Autorzy: Rajagopal K. , Veena P. H. , Pravin V. K.

Identyfikatory

DOI

10.2478/ijame-2013-0010

• Języki publikacji: EN

Abstrakty

EN

The development of velocity, temperature and concentration fields of an incompressible viscous electrically conducting fluid, caused by impulsive stretching of the surface in two lateral directions and by suddenly increasing the surface temperature from that of the surrounding fluid in a saturated porous medium is studied. The partial differential equations governing the unsteady laminar boundary layer flow are solved analytically. For some particular cases, closed form solutions are obtained, and for large values of the independent variable asymptotic solutions are found. The surface shear stress in x and y directions and the surface heat transfer and surface mass transfer increase with the magnetic parameter and with permeability parameter and the stretching ratio, and there is a smooth transition from the short-time solution to the long-time solution.

Słowa kluczowe

EN

unsteadiness; laminar flow; three dimensional; shear stress; heat and mass transfer; short-time and long-time solution

PL

przepływ laminarny; naprężenia ścinające; wymiana ciepła; wymiana masy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 1
• Strony: 137--151
• Opis fizyczny: Bibliogr. 22 poz., rys. wykr.

Twórcy

autor

Rajagopal K.

• Dept. of Mech. Engg. Vice Chancellor JNTU Hyderabad A.P. India

autor

Veena P. H.

• Dept. of Mathematics, Smt. V.G. College for Women Gulbarga, Karnataka, India

autor

Pravin V. K.

• Dept. of Mech. Engg., P.D.A. College of Engg. Gulbarga, Karnataka, India

Bibliografia

• Abromowitz M. and Stegun I.A. (1972): Handbook of mathematical functions. - 55, Providence National Bureau of Standards.Amer. Math. Soci.
• Andersson H.I. (1995): An exact solution of the Navier-Stokes equations for MHD flow. - Acta. Mech., vol.113, pp.241-244.
• Carraghar P. and Crane L.J. (1982): Heat transfer on a continuous stretching sheet. - ZAMM, vol.62, pp.564-565.
• Chaim T.C. (1996): Heat transfer with thermal conductivity in a stagnation point flow towards a stretching sheet. - Int. Comm. Heat Mass Transfer, vol.23, pp.239-248.
• Chakrabarti A. and Gupta A.S. (1979): Hydromagnetic flow, heat and mass transfer over a stretching sheet. - Quart. Appl. Maths, vol.33, pp.73-78.
• Crane L.J. (1970): Flow past a stretching plate. - ZAMP, vol.21, pp.645-647.
• Dennis S.C.R. (1972): The motion of a viscous fluid past an impulsively started semi-infinite flat plate. - J. Inst. Math. Appl., vol.10, pp.105-117.
• Dutta B.K. (1989): Heat transfer from a stretching sheet with uniform suction and blowing. - Acta. Mech., vol.78, pp.255-262.
• Dutta B.K., Roy P. and Gupta A.S. (1985): Temperature field in flow over a stretching sheet with uniform heat flux. - Int. Comm. Heat Mass Transfer, vol.28, pp.1234-1237.
• Eringen A.C. and Maugin G.A. (1990): Electrodynamics of continua, 2, New York Springer.
• Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction and blowing. - J. Chem.
• Engng., vol.55, pp.744-746. Hall M.G. (1969): The boundary layer over an impulsively started flat plate. - Proc. Roy. Soc., vol.310A, pp.401-414.
• Jeng D.R., Chang T.C.A. and Dewitt K.J. (1986): Momentum and heat transfer on a continuous moving surface. - J. Heat Transfer, vol.108, pp.532-539.
• Nanbu K. (1971): Unsteady Falker-Skan flow. - ZAMP, vol.22, pp.1167-1172.
• Rajagopal K., Veena P.H. and Pravin V.K. (): Heat transfer in a fluid over a Linearly.
• Siddappa B., Subhas Abel and Veena Hongunti (1995): Oscillatory motion of a visco-elastic fluid past a stretchingsheet. - IL NUOVO CIMENTO, 17D, N1, pp.53-60.
• Smith S.A. (1967): The impulsive motion of a wedge in a viscous fluid. - ZAMP, vol.18, pp.508-522.
• Takhar H.S., Chamkha A.J. and Nath G. (2001): Unsteady three-dimensional MHD boundary layer flow due to theimpulsive motion of a stretching surface. - Acta. Mechanica., vol.146, pp.59-71.
• Vajravelu K.A. and Hadjinicolaou A. (1997): Convective heat transfer in an electrically conducting fluid at a stretchingsurface with uniform free stream. - Int. J. Engg. Sci., vol.35, pp.1237-1244.
• Wang C.Y. (1984): The three-dimensional flow due to a stretching flat surface. - Phys. of Fluids, vol.27, pp.1915-1917.
• Watkins C.A. (1975): Heat transfer in the boundary layer over an impulsively started flat plate. - J. Heat Transfer, vol.97, pp.482-484.
• Williams J.C. and Rhyne T.H. (1980): Boundary layer development on a wedge impulsively set into motion. - SIAM. J. Appl. Math., vol.38, pp.215-224.