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Abstrakty
The problem of steady, laminar, fully developed flow and heat transfer of viscous and couple stress fluids in a vertical channel is investigated. The transport properties of the fluids in both the regions are assumed to be constant. The walls of the channel are considered to be isothermaI. The goveming momentum and energy equations are coupled and nonlinear due to the buoyancy effects. The basic equations are solved analytically using the regular perturbation method and numerically using the Runge-Kutta-GiII method. The results are represented graphically for different vaIues of the couple stress parameter, viscosity ratio, width ratio, coefficient of thermaI expansion ratio, density ratio, conductivity ratio, ratio of the Grashof number and Reynolds number and Eckert number on velocity and temperature distributions. In addition, results for the Nusselt number are computed for different values of the physical parameters and presented in a tabular form. It is found that the effect of the couple stress parameter is to promote the motion of the fluid.
Rocznik
Tom
Strony
537--555
Opis fizyczny
Bibliogr. 14 poz., tab., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics, Gulbarga University Gulbarga-585 106, Karnataka, INDIA, popi@math.ubbcluj.ro
Bibliografia
- Aero E.L., Bullygin N. and Kuvshinskii E.V. (1963): Asymmetric hydrodynamics. - Appl. Math. Mech., vol.33, pp.29-36.
- Chamakha A.J. (2000): Flow of two-immiscible fluids in porous and non-porous Channels. - Int. J. Eng. Sci.,vol.38,, pp.117-124.
- Cowin S.C. (1962): Mechanics of Cosserat continua. - Ph.D Thesis, The Pennsylvania State University, University Park, Pennsylvania.
- Eringen A.C. (1964): Simple microfluids. - Int. J. Eng. Sci., vol.2, pp.205-217.
- Eringen A.C. (1966): Theory of micropolar fluids. - J. Math. Mech., vol.16, pp.1-18.
- 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, pp.545-560.
- Malashetty M.S. and Umavathi J.C. (1999): Oberbeck convection flow of a couple stress fluid through a vertical porous stratum. - Int. J. Non-Linear Mech., vol.34, pp.1037-1045.
- Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2000): Two-fluid magnetoconvection flow in an inclined channel. - Int. J. Trans. Phenomena, vol.3, pp.73-84.
- Shehawey E.F.E. and Mekheimer Kh.S. (1994): Couple stresses in peristaltic transport of fluids. - J. Phys., vol.27, pp.1163 -1172.
- Sinha P. and Singh C. (1984): Effects of couple stresses on the blood flow through an artery with mild stenosis. - Biorheology, vol.21, pp.303-312.
- Srivastava L.M. (1985): Flow of couple stress fluid through stenotic blood vessels. - J. Biomechanics, vol.18, pp.479-485.
- Stokes V.K. (1966): Couple stresses in fluids. - Phys. Fluids, vol.9, pp.1709 -1715.
- Umavathi J.C. (1999): Free convection flow of electrically conducting couple stress fluid in a vertical channel. - AMSE, vol.68, pp.1-24.
- Valanis K.C. and Sun C.T. (1969): Poiseuille flow of a fluid with a couple stress with application to blood flow. - Biorheology, vol.6, pp.85-97.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0031-0016
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