scholarly journals Joule heating and MHD free convection flow along a vertical wavy surface with viscosity and thermal conductivity dependent on temperature

2013 ◽  
Vol 10 (2) ◽  
pp. 81-98 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Friction Coefficient ◽  
Free Convection ◽  
Skin Friction ◽  
Joule Heating ◽  
Skin Friction Coefficient ◽  
Wavy Surface ◽  
Convection Flow ◽  
Free Convection Flow

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

scholarly journals Conjugate effects of temperature sensitive viscosity and thermal conductivity on free convection flow along a wavy surface with heat generation

2013 ◽  
Vol 10 (2) ◽  
pp. 139-148 ◽  
Author(s):  
Md. Abdul Alim ◽  
M. Miraj Akand ◽  
M. Rezaul Karim
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Heat Generation ◽  
Skin Friction Coefficient ◽  
Numerical Results ◽  
Wavy Surface ◽  
Convection Flow ◽  
Surface Shear Stress

The effects of internal heat generation on natural convection flow with temperature dependent variable viscosity along a uniformly heated vertical wavy surface have been investigated. The governing boundary layer equations are first transformed into a non-dimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. Numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines as well as the isotherms are shown graphically for a selection of parameters set consisting of viscosity variation parameter e, thermal conductivity parameter g, heat generation parameter Q and Prandtl number Pr. Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are presented in tabular form and graphically.DOI: http://dx.doi.org/10.3329/jname.v10i2.9450

scholarly journals Effect of Temperature-Dependent Variable Viscosity on Magnetohydrodynamic Natural Convection Flow along a Vertical Wavy Surface

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Variable Viscosity ◽  
Skin Friction Coefficient ◽  
Effect Of Temperature ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Natural Convection Flow

The effect of temperature dependent variable viscosity on magnetohydrodynamic (MHD) natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations are first transformed into a nondimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines and the isotherms are shown graphically for a selection of parameters set consisting of viscosity parameter (), magnetic parameter (), and Prandtl number (Pr). Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are also presented in tabular form.

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

2020 ◽  
Author(s):  
Uthman ibn Afaq
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Skin Friction ◽  
Flow Regime ◽  
Slip Flow ◽  
Expansion Method ◽  
Physical Aspect ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Slip Flow Regime

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).

scholarly journals The Effect of Plate Oscillations on Horizontal Free Convection Flow

1977 ◽  
Vol 30 (3) ◽  
pp. 335 ◽  
Author(s):  
RL Verma ◽  
Punyatma Singh
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Free Convection ◽  
Skin Friction ◽  
Low Frequency ◽  
Convection Flow ◽  
Phase Lag ◽  
Mean Flow ◽  
Free Convection Flow ◽  
Boundary Layer Equations

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.

scholarly journals Effects of variable thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a vertical flat plate

2011 ◽  
Vol 7 (1) ◽  
pp. 27-36
Author(s):  
Rehena Nasrin ◽  
Md. Abdul Alim
Keyword(s):  
Thermal Conductivity ◽  
Free Convection ◽  
Flat Plate ◽  
Temperature Profile ◽  
Joule Heating ◽  
Variable Thermal Conductivity ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Vertical Flat Plate

The effects of variable thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a vertical flat plate have been described by this present work. With a goal to attain similarity solutions of the problem posed, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-linear equations by introducing a non- similarity transformation. The resulting non-similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the implicit finite difference method along with Keller-box scheme. Numerical results for the details of the velocity profile, temperature profile, skin friction coefficient and the surface temperature profile are shown both on graphs and tabular form for different values of the set of parameters entering into the problem.DOI: 10.3329/jname.v7i1.4322 

scholarly journals Consequence of Heat Transfer on Free Convection Flow of Casson Fluid with Hall Effect

2019 ◽  
Vol 8 (10S) ◽  
pp. 90-95
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Free Convection ◽  
Hall Effect ◽  
Skin Friction ◽  
Casson Fluid ◽  
Temperature Fields ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Fluid Parameter

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.

scholarly journals MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

2010 ◽  
Vol 6 (2) ◽  
pp. 72-83 ◽  
Author(s):  
Rehena Nasrin ◽  
Md. Abdul Alim
Keyword(s):  
Thermal Conductivity ◽  
Boundary Layer ◽  
Free Convection ◽  
Joule Heating ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Free Convection Flow ◽  
Variation Parameter ◽  
Viscosity Variation ◽  
Vertical Flat Plate

In this present work the effects of temperature dependent viscosity and thermal conductivity on the coupling of conduction and Joule heating with MHD free convection flow along a semi-infinite vertical flat plate have been analyzed. The governing boundary layer equations with associated boundary conditions for this phenomenon are transformed to non-dimensional form using the appropriate variables. By the help of the implicit finite difference method with Keller–box scheme, the resulting non-linear system of partial differential equation is then solved numerically. The purpose of this paper is to study the skin friction coefficient, the surface temperature, the velocity and the temperature profiles over the whole boundary layer for different values of the Prandtl number Pr, the magnetic parameter M, the thermal conductivity variation parameter, the viscosity variation parameter and the Joule heating parameter J. The results indicate that the flow pattern, temperature field and rate of heat transfer are significantly dependent on the above mentioned parameters. The local skin friction co-efficient and the surface temperature profiles for different values of viscosity variation parameter are compared with previously published works and are found to be in good agreement.Keywords: Viscosity; thermal conductivity; Joule heating; MHD; conduction; free convection.DOI: 10.3329/jname.v6i2.4994

scholarly journals EFFECT OF NON-UNIFORM HEAT SOURCE AND RADIATION ON UNSTEADY MHD FREE CONVECTION FLOW PAST AN INFINITE HEATED VERTICAL PLATE IN POROUS MEDIUM

2020 ◽  
Vol 9 (4) ◽  
pp. 219
Author(s):  
PRATIBHA MISHRA ◽  
SWETA TRIPATHI
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Heat Source ◽  
Free Convection ◽  
Skin Friction ◽  
Time Dependent ◽  
Convection Flow ◽  
Heated Plate ◽  
Free Convection Flow ◽  
Uniform Heat

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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