International Research Journal of Engineering and Technology (IRJET) Volume: 04 Issue: 02 | Feb -2017
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e-ISSN: 2395 -0056 p-ISSN: 2395-0072
Finite Element Solution On Effects Of Viscous Dissipation & Diffusion Thermo On Unsteady Mhd Flow Past An Impulsively Started Inclined Oscillating Plate With Mass Diffusion &Variable Temperature 1Department 2Department
B. Shankar Goud1, M.N Rajashekar2
of Mathematics, JNTUH College of Engineering Kukatpally, Hyderabad- 085 , TS, India. of Mathematics, JNTUH College of Engineering Nachupally, Karimnagar -505501, TS, India.
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Abstract - The aim of this is paper is to investigate on the
temperature and uniform mass diffusion – A finite element method. P.Srikanth Rao and D.Mahendar [8] investigated Soret effect on unsteady MHD free convection flow past a semiinfinite vertical permeable moving plate. D.Chennakesavaiah and P V Satyanarayana[9] studied the radiation absorption and dufour effect to MHD flow in vertical surface. Dufour effects on unsteady MHD free convection and mass transfer flow fast through a porous medium in slip regime with heat source/ sink was studied by K.Sharmilaa and S.Kaleeswari[10]. K.Anitha [11] has analyzed chemical reaction and radiation effects on unsteady MHD natural convection flow of rotating fluid past a vertical porous flat plate in the presence of a viscous dissipation. The effect of Hall current on an unsteady MHD free convective flow along a vertical plate with the thermal radiation was studied by P.Srikanth Rao and D.Mahendar [12].
effects of viscous dissipation and diffusion thermo on an unsteady MHD flow with an inclined oscillating plate started impulsively. The effects with a variable temperature and mass diffusion are observed. Considered fluid is gray, absorbing-emitting radiation, but a non-scattering medium. Solutions of the nonlinear differential equation are obtained by finite element method. The effects of different flow parameters on the flow variables are discussed. The results have been analyzed graphically. Key Words: Unsteady, variable temperature and mass diffusion, MHD, FEM, Viscous Dissipation 1. INTRODUCTION The study of the hydromagnetic flow of an electrically conducting fluid has many applications in science and engineering problems such as magnetohydrodynamic (MHD) generator, plasma studies, nuclear reactors, aerodynamic heating, etc. Soundalgekar et al [1] investigated the problem of free convection effects on Stokes problem for a vertical plate with transverse applied magnetic field. Elbasheshy [2] studied MHD heat and mass transfer problem along a vertical plate under the combined buoyancy effects on of thermal and spices diffusion. Ibrahim [3] has investigated analytical solution of heat and mass transfer over a permeable stretching plate affected by chemical reaction, internal heating, Dufor-Soret effect and Hall effect.MHD flow Past an Impulsively started vertical plate with variable temperature and mass diffusion was studied by Rajput and Surender kumar [4]. Rao and Shivaiah [5] studied chemical reaction effects on unsteady MHD flow past semi- infinite vertical porous plate viscous dissipation. P.K Sing [6] showed heat and mass transfer in MHD boundry layer flow past an inclined plate with variable temperature and mass diffusion. T.Arun kumar and L Anand Babu [7] has analyzed the study of Radiation effect of MHD flow past an impulsive started vertical plate with variable
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2. MATHEMATICAL ANALYSIS In this paper we have considered MHD flow between two parallel electrically non conducting plates inclined at an angle from vertical.
axis is taken along the plate and
normal to it. A transverse magnetic field of uniform strength is applied on the flow. The viscous dissipation and induced magnetic field has been neglect due to its small effect. Initially it has been considered that the plate as well as the fluid is at same temperature Concentration level
and the
everywhere in the fluid is same
as in stationary condition. At time t 0 , the plate starts oscillating in its own plane with frequency and temperature of the plate is raised to and the concentration level near the plate is raised linearly with respect to time. The flow modal is as follows:
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