scholarly journals About Unsteady Magnetopolar free Convection flow cdots in a Slip flow Regime

2020 ◽  
Author(s):  
Uthman ibn Afaq

It is written that The objective of this paper is to study the effects of different parameters on an unsteady magnetopolar free convection flow of an incompressible fluid in the presence of thermal radiation and uniform magnetic field of strength B0 through a porous medium in slip flow regime. The suction velocity is considered to be variable and the fluid is assumed to be gray; emitting absorbing but non scattering medium. The governing boundary layer equations with the boundary conditions are first converted into dimensionless form by non-similar transformations, and then resulting system of coupled non-linear partial differential equations are solved by series expansion method. The expressions for velocity (u), angular velocity (ω), temperature (θ), concentration (C), skin friction (Cf) and rate of heat transfer (Nu) are obtained. The results obtained have been presented, separately in two basic fluids air (Pr=0.71, Sc=0.22) and water (Pr=7, Sc=0.61), numerically through graphs to observe the effects of different parameters and the physical aspect of the problem. We observe that on decreasing Gr (thermal Grashof number), skin friction drops in air but rises in water. Also we notice that the rate of heat transfer rises on decreasing h2 (jump parameter).

1977 ◽  
Vol 30 (3) ◽  
pp. 335 ◽  
Author(s):  
RL Verma ◽  
Punyatma Singh

The free convection flow along a semi-infinite horizontal plate oscillating in its own plane is analysed The basic flow is purely buoyancy induced, while the oscillations in the plate cause a time-dependent boundary layer flow and heat transfer. The boundary layer equations are linearized and the first two approximations are considered. Two separate solutions valid for high and low frequency ranges are obtained by a series expansion in terms of frequency parameters. The skin friction and the rate of heat transfer are studied for both frequency ranges. For very high frequencies, the oscillatory flow pattern is of a 'shear-wave' type, unaffected by the mean flow. It is found that the phase of the skin friction at the plate lags that of the plate oscillations by in and the rate of heat transfer has a phase lag of 1/2n.


2013 ◽  
Vol 10 (2) ◽  
pp. 81-98 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim

A numerical study is conducted to analyze the effect of Joule heating and MHD (magnetohydrodynamic) free convection flow and heat transfer along a uniformly heated vertical wavy surface with temperature dependent variable viscosity and thermal conductivity. The governing boundary layer equations with associated boundary conditions for phenomenon are converted to non-dimensional form using the appropriate transformations. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and solved numerically by employing implicit finite difference method, known as the Keller-box scheme. The behavior of the fluid in the ranges of Joule heating parameter (0.0–2.0), viscosity parameter (0.0–20.0) and thermal conductivity parameter (0.0 –10.0) are explained in details. It is found that the flow and temperature fields are strongly dependent on the above stated parameters for the ranges considered. The skin friction coefficient and the rate of heat transfer are also presented. The skin friction coefficient and the heat transfer for different values of Prandtl number Pr are compared with previously published work and are found to be in excellent agreement.DOI: http://dx.doi.org/10.3329/jname.v10i2.11707


Effect of heat transfer on free convection flow of Casson fluid over a vertical plate with Hall effect has been studied. A similarity analysis method was used to transform the system of partial differential equations describing the problem into an ordinary differential equations, Analytical solutions are obtained by solving the ODE to analyze the velocity and temperature fields. Variations of interesting parameters on the velocity, heat transfer and skin friction are observed by plotting graphs. Further, it was concluded that the Casson fluid parameter and hall parameter has an retarding influence on velocity profile and also in the skin friction.


2020 ◽  
Vol 9 (4) ◽  
pp. 219
Author(s):  
PRATIBHA MISHRA ◽  
SWETA TRIPATHI

Influence of radiation and non-uniform heat source on unsteady, magneto-hydrodynamic free convection flow of viscous incompressible fluid past an infinite vertical heated plate embedded in porous medium of an optically thin environment with time dependent suction and viscous dissipation is investigated in this paper. Analytical solutions of the coupled non-linear equations are obtained for the velocity field and temperature distribution using oscillating time-dependent perturbation technique. Expressions for skin-friction and heat transfer rate are also derived. The effects of the material parameters on velocity, temperature, skin-friction, and rate of heat transfer are discussed quantitatively.


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