Unsteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field

• Autorzy: Linga Raju T. , Sreedhar S.
• Języki publikacji: EN

Abstrakty

EN

An attempt has been made to investigate the behaviour of flow formation and heat transfer aspects on an unsteady MHD two-fluid flow of electrically conducting fluids under the influence of a transversely applied uniform magnetic field in a horizontal channel. The flow is driven by a constant uniform pressure gradient in a channel bounded by two parallel walls, one being stationary and the other oscillating. The two fluids are assumed to be incompressible and electrically conducting possessing different viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding walls are maintained at constant and equal temperature. The governing partial differential equations are reduced to the ordinary linear differential equations using two-term series, and which in turn are solved analytically to obtain exact solutions for the velocity distributions and the corresponding temperature distributions in the two-fluid regions respectively. Profiles of these solutions are plotted to illustrate the details of the flow and heat transfer characteristics and their dependence on some of the physical parameters, such as the Hartmann number, ratios of the viscosities, heights, electrical and thermal conductivities. And, it is shown how the velocity and temperature distributions vary with hydromagnetic interaction in the case of steady flow and unsteady flow motions. Also, as expected, it is observed that these distributions are pronounced more in the unsteady state when compared to the steady state problem.

Słowa kluczowe

EN

magnetohydrodynamics; two-fluid flow/immiscible fluids; unsteady flow; oscillatory motion; channel flow; heat transfer

PL

mieszanie płynów; przepływ nieustalony; ruch oscylacyjny; kanał przepływowy; przepływ ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 4
• Strony: 1093--1114
• Opis fizyczny: Bibliogr. 31 poz., wykr.

Twórcy

autor

Linga Raju T.

autor

Sreedhar S.

• Department of Engineering Mathematics Andhra University College of Engineering Visakhapatnam, INDIA,

Bibliografia

• Axford W.I. (1959): The oscillating plate problem magnetohydrodynamics. - Journal of Fluid Mechanics, vol.8, pp.97-102.
• Bentwich M. (1964): Two-phase viscous axial flow in a pipe. - J. Basic Engineering, Transactions of ASME, vol.86D, pp.669-672.
• Chamkha A.J. (2000): Flow of two-immiscible fluids in porous and non- porous channels. - ASME J. Fluids Engineering, vol.122, pp.117-124.
• Chamkha A.J. (2004): Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. - Int. J. Eng. Sci., vol.42, pp.217-230.
• Chandran N.P., Nirmal C. Sacheti and Ashok K. Singh (1998): Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion. - J. Phys. Soc. Japan, vol.67, No.1, pp.124-129.
• Gherson P. and Lykoudis P.S. (1984): Local measurements in two-phase liquid-metal magneto-fluid mechanic flow.-J. Fluid Mechanics, vol.147, pp.81-104.
• Griffith P. and Wallis G.B. (1961): Two-phase Slug Flow. - Heat Transfer, Transactions of ASME, 83C, pp.307-320.
• Gupta A.S. (1960): On the flow of an electrically conducting fluid near an accelerated plate in the presence of a magnetic field. - J. Phys. Soc. Japan, vol.15, No.10, pp.1894-1897.
• Kakutani T. (1958): Effect of transverse magnetic field on the flow due to an oscillatinf flat plate. - J. Phys. Soc. Japan, vol.13, No.12, pp.1504-1509.
• Katagiri M. (1962): Flow formation in Couette motion in magnetohydrodynamics. - J. Phys. Soc. Japan, vol.17, No.2, pp.393-396.
• Linga Raju T. and Murty P.S.R. (2005): Quasi - Steady state solutions of MHD ionized flow and heat transfer with Hall currents between parallel walls in a rotating system. - Bulletin of Pure and Applied Sciences (An International Research Journal of Sciences), Section-E, Maths. and Stat. Delhi, India, vol.24E, No.2, pp.467-490.
• Linga Raju T. and Murty P.S.R. (2006): Hydromagnetic two-phase flow and heat transfer through two parallel plates in a rotating system. - J. Indian Academy of Mathematics, Indore, India, vol.28, No.2, pp.343-360.
• Lohrasbi J. and Sahai V. (1989): Magnetohydrodynamic heat transfer in two-phase flow between parallel plates. - Applied Scientific Research, vol.45, pp.53-66.
• Malashetty M.S. and Leela V. (1992): Magnetohydrodynamivc heat transfer in two phase flow. - Int. J. Eng. Sci., vol.30, pp.371-377.
• Moissis R. and Griffith P. (1962): Entrance Effects in a Two -phase Slug Flow. - J. Heat Transfer, Transactions of ASME, 84C, pp.29-39.
• Muhuri P.K. (1963): Flow formation in Couette motion in magnetohydrodynamics in the suction. - J. Phy. Soc. Japan, vol.18, No.11, pp.1671.
• Ong R.S. and Nichols J. (1959): On the flow of a Hydromagnetic fluid near on osscilating flat plate. - Janeiro Space Science Reader's Forum, vol.26, No.5, pp.313-314.
• Pakham B.A and Shail R. (1971): Stratified laminar flow of two immiscible fluids. - Proceedings of the Cambridge Philosophical Society, vol.69, pp.443-448.
• Pop I. (1968): On the hydromagnetic flow near an accelerated plate. - Zeitschrift fur Angewandte Mathematik and Mechanik(ZAMM), vol.48, pp.69-70.
• Rayleigh's L. (1920): Scientific papers. - Vol.6 (Cambridge University press, New York).
• Rossow V.J. (1957): Flow of electrically conducting fluids over a flat plate in presence of a transverse magnetic field. - NACA, TN 3971, pp.1-54.
• Schlichting H. (1955): Boundary Layer Theory. - New York: McGraw Hill Book company, Inc., pp.66.
• Shail R. (1973): on laminar two-phase flow in magneticohydrodynamics. - Int. J. Eng. Sci., vol.11, pp.1103-1108.
• Shipley D.G. (1984): Two-phase flow in large diameter pipes. - Chemical Engineering Science, vol.39, pp.163-165.
• Tsuyoshi I. and Shu-Ichiro I. (2008): Two-Fluid magnetohydrodynamic simulation of converging Hi flows in the interstellar medium. - The Astrophysical Journal, vol.687, No.1, pp.303-310.
• Soundalgekar M. (1967): On the flow of an electrically conducting incompressible fluid near an accelerated plate in the presence of a parallel plate, under transverse magnetic field. - Proc. Indian Academy of Science, vol.A65, pp.179-187.
• Stanisic M.M., Fetz B.H., Mickelsen Jr. H.P. and Czumak F.M. (1962): On the flow of a hydromagnetic fluid between two oscillating flat plates. - Journal of Aero/space Science, vol.29, No.1, pp.116-117.
• Tao L.N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. - Journal of Aero/space Science, vol.27, pp.334-338.
• Umavathi J.C., Abdul Mateen, Chamkha A.J. and Al- Mudhaf A. (2006): Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel. - Int. J. of Applied Mechanics and Engineering, vol.11, No.1, pp.155-178.
• Varma P.D. and Gaur Y.N. (1972): Unsteady flow and temperature distribution of a viscous incompressible fluid between two parallel plate plates. - Proc. Indian Acad. Sci., vol.75, pp.108
• Zuber N. (1960): On the variable density single fluid model for two-phase Flow. - J. Heat Transfer, Transactions of ASME, vol.82C, pp.255-257.