ORIGINAL PAPER
Effect of Hall Currents on Unsteady Magnetohydrodynamic Two-Ionized Fluid Flow and Heat Transfer in a Channel
 
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1
Department of Engineering Mathematics, AUCE(A), ANDHRA UNIVERSITY, Visakhapatnam, Pin code: 530003, India
 
2
Dept. of Mathematics, St. Joseph’s College for Women (A), Visakhapatnam, A.P., India
 
 
Online publication date: 2021-06-22
 
 
Publication date: 2021-06-01
 
 
International Journal of Applied Mechanics and Engineering 2021;26(2):84-106
 
KEYWORDS
ABSTRACT
An unsteady magnetohydrodynamic (MHD) heat transfer two-fluid flow of ionized gases through a horizontal channel between parallel non-conducting plates, by taking Hall currents into account is studied. The governing partial differential equations that describe the flow and heat transfer under the adopted conditions are solved for the velocity and temperature distributions by a regular perturbation technique. Profiles for the velocity and temperature distributions as well the rates of heat transfer coefficient are presented graphically, and a parametric study is performed. The results reveal that the combined effects of the Hartmann number, Hall parameter, and the ratios of viscosities, heights, electrical and thermal conductivities have a significant impact on an unsteady MHD heat transfer two-ionized fluid flow characteristics.
 
REFERENCES (39)
1.
Shail R. (1973): On laminar two-phase flows in magnetohydrodynamics.– Int. J. Engg. Sci., vol.11, pp.1103-1109.
 
2.
Cowling, T.G. (1962):Magnetohydrodynamics.– Rep. Prog. Phys., vol.25, pp.244.
 
3.
Hall Edwin (1879): On a new action of the magnet on electric currents.– American Journal of Mathematics, vol. 2, No.2, pp.287–292.
 
4.
BroerL.J.F. and Peletier L.A. (1960): A Mechanical. Hall Effect.– Appl. Sci. Res., vol.8B, pp.259.
 
5.
Sato H. (1961): The Hall Effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field.– J. Phys. Soc. Japan, vol. 16, No.7, pp.1427-1433.
 
6.
Tani I. (1962): Steady flow of conducting fluids in channels under transverse magnetic fields with consideration of Hall effect.– J. Aerospace Sci., vol.29, pp.297.
 
7.
Pop I. (1971): The effect of Hall current on hydromagnetic flow near accelerated plate.– J. Math. Phys. Sci., vol.5, pp.375-379.
 
8.
CramerKenneth R. and Pai Shih-I. (1973): Magnetofluid Dynamics for Engineers and Applied Physicists.– McGraw-Hill Company.
 
9.
Shercliff J.A. (1979): Thermoelectric magnetohydrodynamics.– J.Fluid Mechanics, vol.91, No.2, pp.231-251.
 
10.
Sharma R.C. and Neela Rani (1988): Hall effects of thermo-solute instability of a plasma.– Indian J. Pure Appl. Math, vol.19, No.2, pp.202-207.
 
11.
NiranjanS.S., SoundalgekarV.M. and Takhar H.S. (1990): Free convection effects on HMD horizontal channel flow with Hall currents.– Plasma Sci. IEEE Trans, vol.18, No.2, pp.177-183.
 
12.
Raju T.L and Ramana Rao V.V. (1992): Hall effect in the viscous flow of an ionized gas between two parallel walls under transverse magnetic field in a rotating system.– Acta Physica Hungarica, vol.72, No.1, pp.23-45.
 
13.
Raju T.L. and Ramana Rao V.V.(1993): Hall effects on temperature distribution in a rotating ionized hydromagnetic flow between parallel walls.– Int. J. Engg. Sci., vol.31, No.7, pp.1073-1091.
 
14.
Attia H.A. (1998): Hall current effects on the velocity and temperature fields of an unsteady Hartmann flow.– Can. J. Phys, vol.76, No.9, pp.739-746.
 
15.
AboeldahabE.M. and Elbarbary E.M.E. (2001): Hall current effect on magnetohydrodynamic free convection flow past a semi-infinite vertical plate with mass transfer.– Int. J. Engg. Sci., vol.39, pp.1641-1652.
 
16.
Singh J.K., Begum S.G. and Seth G.S. (2018): Influence of Hall current and wall conductivity on hydromagnetic mixed convective flow in a rotating Darcian channel.– Physics of fluids, vol.30, No.11, p.12.
 
17.
ChwlaT.C. and Ishii M. (1980): T wo-fluid model of two-phase flow in a pin bundle of anuclear reactor.– Int. J. Heat Mass Transfer, vol.23, pp.991-1001.
 
18.
Dunn P.F. (1980): Single-phase and two-phase magnetohydrodynamic pipe flow.– Int. Journal of Heat and Mass Transfer, vol.23, pp.373.
 
19.
Dobran F. (1981): On the consistency conditions of averaging operators in 2-phase flow models and on the formulation of magnetohydrodynamic 2-phase flow.– I. J. Eng. vol.19, No.10, pp.1353-1368.
 
20.
Mitra P. (1982): Unsteady flow of two electrically conducting fluids between two rigid parallel plates.– Bulletin of the Calcutta Mathematical Society, vol.74, pp.87-95.
 
21.
Lohrasbi J. and Sahai V. (1988): Magnetohydrodynamic heat transfer in two phase flow between parallel plates.– Appl. Sci. Res., vol.45, pp.53-66.
 
22.
Setayesh A. 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.
 
23.
Malashetty M.S. and Leela V. (1992): Magnetohydrodynamic heat transfer in two phase flow.– Int. J. of Engg. Sci., vol.30, pp.371-377.
 
24.
Chamkha A.J. (200): Unsteady laminar hydromagnetic fluid-particle flow and heat transfer in channels and circular pipes.– Int. J. of Heat and Fluid Flow, vol.21, pp.740-746.
 
25.
Umavathi J.C., Chamkha A.J., Mateen A. and Kumar J.P. (2008): Unsteady magneto-hydrodynamic two fluid flow and heat transfer in a horizontal channel.– Heat and Technology, vol.26, No.2, pp.121-133.
 
26.
Tsuyoshi Inoue and Inutsuka Shu-Ichiro (2008): Two-fluid MHD simulations of converging Hi flows in the interstellar medium I:Methodology and basic results.– The Astr. Phys. J., vol.687, pp.303-310.
 
27.
Hussameddine S. K., Martin J. M. and Sang W. J. (2008): Analytical prediction of flow field in magnetohydrodynamic based micro fluidic devices.– J. of Fluids Engg, vol.130, No.9, pp.6-10.
 
28.
Srivastava K.M. (2009): Effect of Hall current on the instability of an anisotropic plasma.– Jet. J. Plasma Phys., vol.12, No.1, pp.33-43.
 
29.
Stamenkovic M.Z., Nikodjevic D.D, Blagojevic B.D. and Savic S. (2010): MHD flow and heat transfer of two immiscible fluids between moving plates.– Transactions of the Canadian Society for Mechanical Engg., vol.34, No.3-4, pp.351-372.
 
30.
Stamenkovic Ź.M., Nikodijevic D.D., Kocic M.M. and Nikodijevic J.D. (2012): MHD flow and heat transfer of two immiscible fluids with induced magnetic field.– Thermal Science: Int. Scientific Journal, vol.16, No.2, pp.323-336.
 
31.
Raju T.L and Valli M. (2014): MHD two-layered unsteady fluid flow and heat transferthrough a horizontal channel between parallel plates in a rotating system.– Int. J. Appl. Mech. and Engg., vol.19, No.1, pp.97-121.
 
32.
Selimli S., Resebli Z. and Arcakhoglu E. (2015): Combined effects of magnetic and electric field on hydrodynamic and thermo-physical parameters of magneto-viscous fluid flow.– Int. J. Heat Mass Trans., vol.86, pp.426-432.
 
33.
Kalra G.L., Kathuria S.N., Hosking R.J. and Lister G.G. (2009): Effect of Hall current and resistivity on the stability of a gas-liquid system.– J. Plasma Phys., vol.4, No.3, pp.451-469.
 
34.
Hyun S. and Kennel C.F. (2009): Small amplitude waves in a hot relativistic two-fluid plasma.– J. Plasma Phy., vol.20, No.2, pp.281-287.
 
35.
Sharma P.R. and Sharma Kalpana (2014): Unsteady MHD two-fluid flow and heat transfer through a horizontal channel.– Int. J. of Engineering Science Invention Research and Development, vol.1, No.3, pp.65-72.
 
36.
Joseph K.M., Peter A., Asie P.E. and Usman S. (2015): The unsteady MHD free convective two immiscible fluid flows in a horizontal channel with heat and mass transfer.– Int. J. of Mathematics and Computer Research, vol.3, No.5, pp.954-972.
 
37.
Sivakamini L and Govindarajan A. (2019): Unsteady MHD flow of two immiscible fluids under chemical reaction in a horizontal channel.– AIP conference proceedings 2112.020157 https://doi.org/10.1063/1.5112..., published online: 24 June 2019.
 
38.
Gireesha B.J., Mahantesh B., Thammanna G.T. and Sampathkumar P.B.(2018): Hall effects on dusty nanofluid two-phase transient flow past a stretching sheet using KVL model.– Journal of Molecular Liquids, vol.256, pp.139-147. https://doi.org/10.1016/j.moll....
 
39.
Raju T. L. (2019): MHD heat transfer two-ionized fluids flow between parallel plates with Hall currents.– Journal of Results in Engineering, Elsevier Publication, vol.4, 100043. Available online at https://doi.org/10.1016/j.rine....
 
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