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MHD natural convection flow with radiative heat transfer past an impulsively moving vertical plate with ramped temperature in the presence of hall current and thermal diffusion

Abstract

An investigation on an unsteady MHD natural convection flow with radiative heat transfer of a viscous, incompressible, electrically conducting and optically thick fluid past an impulsively moving vertical plate with ramped temperature in a porous medium in the presence of a Hall current and thermal diffusion is carried out. An exact solution of momentum and energy equations, under Boussinesq and Rosseland approximations, is obtained in a closed form by the Laplace transform technique for both ramped temperature and isothermal plates. Expressions for the skin friction and Nusselt number for both ramped temperature and isothermal plates are also derived. The numerical values of fluid velocity and fluid temperature are displayed graphically versus the boundary layer coordinate y for various values of pertinent flow parameters for both ramped temperature and isothermal plates. The numerical values of the skin friction due to primary and secondary flows are presented in tabular form for various values of pertinent flow parameters.

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A Study of Chemically Reactive Species and Thermal Radiation Effects on an Unsteady MHD Free Convection Flow Through a Porous Medium Past a Flat Plate with Ramped Wall Temperature

effect on unsteady MHD free convection flow past a vertical plate with temperature dependent viscosity. - Can J. Chem. Eng., vol.87, pp.47-52. [20] Seth G.S., Nandkeolyar R. and Ansari Mds. (2013): Effects of thermal radiation and rotation on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium. - J. Appl. Fluid Mech., vol.6, pp.27-38. [21] Huges W.F. and Yong F.J. (1966): The electro-Magneto-Dynamics of fluids. - New York, USA: John Wiley & Sons

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Unsteady MHD Heat Transfer in Couette Flow of Water at 4°C in a Rotating System with Ramped Temperature via Finite Element Method

Abstract

An unsteady magnetohydromagnetic natural convection on the Couette flow of electrically conducting water at 4°C (Pr = 11.40) in a rotating system has been considered. A Finite Element Method (FEM) was employed to find the numerical solutions of the dimensionless governing coupled boundary layer partial differential equations. The primary velocity, secondary velocity and temperature of water at 4°C as well as shear stresses and rate of heat transfer have been obtained for both ramped temperature and isothermal plates. The results are independent of the mesh (grid) size and the present numerical solutions through the Finite Element Method (FEM) are in good agreement with the existing analytical solutions by the Laplace Transform Technique (LTT). These are shown in tabular and graphical forms.

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A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions

, 65, 301-308. Singh, A.K., Sacheti, N.C., Chandran, P., 2006. Stratification effects on transient Stokes flow in the presence of a permeable boundary. Forsch. Ingenieurwesen, 70, 67-73. Singh, A.K., Sacheti, N.C., Chandran, P., 2008. Developing flow near a semi-infinite vertical wall with ramped temperature. Int. J. Appl. Math. Stat., 13, 34-45. Singh, A.K., Sacheti, N.C., Chandran, P., 2009. Flow of an incompressible fluid in a cubical cavity with a free fluid - porous medium interface. Indian J. Indus. Appl. Math., 2

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Analysis of a Chemically Reactive Mhd Flow With Heat and Mass Transfer Over a Permeable Surface

radiativeMagnetohydrodynamic flow with chemical reaction . – International Journal of Advanced Science and Technology, vol.96, pp.25-36. [11] Seth G.S., Sharma R. and Kumbhakar B. (2016): Heat and mass effects on steady MHD natural convection flow of a chemically reactive and radiating fluid through a porous medium past a moving vertical plate with arbitrary ramped temperature . – Journal of Applied fluid Mechanics, vol.9, No.1, pp.103-117. [12] Tasawar Hayat, Madiha Rashid, Maria Imtiaz and Ahed Alsaedi (2015): Magnetohydrodynamic stretched flow of a nanofluid with power

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Effects of Hall current on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with Newtonian heating

convection flow from vertical permeable flat plate with uniform surface heat flux . – Appl. Math. Mech., vol.32, pp.1127–1146. [55] Seth G.S., Mahato G.K. and Sarkar S. (2013): Effects of Hall current and rotation on MHD natural convection flow past an impulsively moving vertical plate with ramped temperature in the presence of thermal diffusion with heat absorption . – Int. J. Energy Tech., vol.5, No.16, pp.1–12. [56] Cramer K.R. and Pai S.I. (1973): Magnetofluiddynamics for Engineers and Applied Physicists . – New York: McGraw Hill Book Company. [57

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Numerical solution through mathematical modelling of unsteady MHD flow past a semi-infinite vertical moving plate with chemical reaction and radiation

heat and mass transfer flow past a time dependent moving vertical plate with ramped temperature in a rotating medium with Hall effects, radiation and chemical reaction. Journal of Mechanics 31 (1), 91-104. 10.1017/jmech.2014.71 Seth G.S. Sarkar S. 2015 MHD natural convection heat and mass transfer flow past a time dependent moving vertical plate with ramped temperature in a rotating medium with Hall effects, radiation and chemical reaction Journal of Mechanics 31 1 91 104 [16] Kumar, R., Raju, C.S.K., Sekhar, K.R., Reddy, G.V. (2017). Three

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MHD mixed convection heat transfer over a non-linear slender elastic sheet with variable fluid properties

-Yousef, (1998), Laminar mixed convection from a continuously moving vertical surface with suction or injection , Heat and Mass Transfer, 33, No 4, 301-306. 10.1007/s002310050193 Ali M. Al-Yousef F. 1998 Laminar mixed convection from a continuously moving vertical surface with suction or injection Heat and Mass Transfer 33 No 4 301 306 10.1007/s002310050193 [15] R. Nandkeolyar et al., (2013), Unsteady Hydromagnetic Natural Convection Flow of a Dusty Fluid Past an Impulsively Moving Vertical Plate With Ramped Temperature in the Presence of Thermal Radiation , Journal

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