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Abstrakty
An unsteady Hartmann flow of two immiscible fluids through a horizontal channel with time-dependent oscillatory wall transpiration velocity is investigated. One of the fluids is assumed to be electrically conducting while the other fluid and the channel walls are assumed to be electrically insulating. Separate solutions for each fluid are obtained and these solutions are matched at the interface using suitable matching conditions. The partial differential equations governing the flow and heat transfer are transformed to ordinary differential equations and closed-form solutions are obtained in both fluids' regions of the channel for steady and unsteady conditions. The closed-form results are presented graphically for various values of the Hartmann number, frequency parameter, periodic frequency parameter viscosity and conductivity ratios as well as the Prandtl number to show their effect on the flow and heat transfer characteristics.
Rocznik
Tom
Strony
155--178
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
autor
autor
autor
- Department of Mathematics Gulbarga University Gulbarga. 585 106, Karnataka, INDIA, achamkha@yahoo.com
Bibliografia
- Alireza S. and Sahai V. (1990): Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties. - Int. J. Heat Mass Transfer, vol.33, No.8, pp.1711-1720.
- Chamkha A.J. (2000): Flow of two-immiscible fluids in porous and non-porous channels. - ASME Journal of 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.
- Hossain M.A., Das S.K. and Pop I. (1998): Heat transfer response of magnetohydrodynamic free convection flow along a vertical plate to surface temperature oscillations. - Int. J. Non-linear Mechanics, vol.33, No.3, pp.541-553.
- Lighthill M.J. (1954): The response of laminar skin-friction and heat transfer to fluctuations in the stream velocity. - Proc. Royl. Soc., vol.A224, pp.1-23.
- Lohrasbi J. and Sahai V. (1987): Magnetohydrodynamic heat transfer in two phase flow between parallel plates. - Appl. Sci. Res., vol.45, pp.53-66.
- Malashetty M.S. and Umavathi J.C. (1997): Two phase magnetohydrodynamic flow and heat transfer in an inclined channel. - Int. J. Multiphase Flow, vol.23, No.3, pp.545-560.
- Malashetty M.S., Umavathi J.C. and Prathpkumar J. (2001a): Two fluid magnetoconvection flow in an inclined channel - Int. J. Transport Phenomena, vol.3, pp.73-84.
- Malashetty M.S., Umavathi J.C. and Prathpkumar J. (2001b): Convective magnetohydrodynamic two fluid flow and heat transfer in an inclined channel. - Heat and Mass Transfer, vol.37, pp.259-264.
- Muhuri P.K. and Maiti M.K. (1967): Free convection oscillatory flow from a horizontal plate. - Int. J. Heat Mass Transfer, vol.10, pp.717-732.
- Nanda R.S. and Sharma V.P. (1963): Free convection laminar boundary layers in oscillatory flow. - J. Fluid Mech., vol.15, pp.419-428.
- Packham B.A. and Shail R. (1971): Stratified laminar flow of two immiscible fluids. - Proc. Camb. Phil. Soc., vol.69, pp.443-448.
- Rudraiah N., Ramaih B.K. and Rajashekhar B.M. (1975): Hartmann flow over a permeable bed. - Int. J. Eng. Sci., vol.13, pp.1-24.
- Shail R. (1973): On laminar tow-phase flow in magnetohydrodynamics. - Int. J. Eng. Sci., vol.11, p.1103.
- Verma R.L. (1982): Free convection fluctuating boundary layer on a horizontal plate. - J. Appl. Math. Mech. (ZAMM), vol.63, pp.483-487.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0010