Heat and Mass Transfer on the MHD Fluid Flow Due to a Porous Rotating Disk With Hall Current and Variable Properties

2010 ◽  
Vol 133 (2) ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Viscous Dissipation ◽  
Joule Heating ◽  
Hall Current ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Rotating Disk ◽  
Integration Scheme ◽  
Shear Stresses ◽  
Similarity Transformations ◽  
Fluid Properties

The steady magnetohydrodynamics (MHD) laminar compressible flow of an electrically conducting fluid on a porous rotating disk is considered in the present paper. The governing equations of motion are reduced to a set of nonlinear differential equations by means of similarity transformations. The fluid properties are taken to be strong functions of temperature and Hall current that also readily accounts for the viscous dissipation and Joule heating terms. Employing a highly accurate spectral numerical integration scheme, the effects of viscosity, thermal conductivity, Hall current, magnetic field, suction/injection, viscous dissipation, and Joule heating on the considered flow are examined. The quantities of particular physical interest, such as the torque, the wall shear stresses, the vertical suction velocity, and the rate of heat transfer are calculated and discussed.

scholarly journals Numerical Study of Lorentz Force Interaction with Micro Structure in Channel Flow

Energies ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 4286
Author(s):  
Shabbir Ahmad ◽  
Kashif Ali ◽  
Sohail Ahmad ◽  
Jianchao Cai
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Viscous Dissipation ◽  
Numerical Study ◽  
Nonlinear Differential Equations ◽  
Thermal Control ◽  
Shear Stresses ◽  
Fluid Temperature ◽  
X Rays ◽  
Micro Particles

The heat transfer Magnetohydrodynamics flows have been potentially used to enhance the thermal characteristics of several systems such as heat exchangers, electromagnetic casting, adjusting blood flow, X-rays, magnetic drug treatment, cooling of nuclear reactors, and magnetic devices for cell separation. Our concern in this article is to numerically investigate the flow of an incompressible Magnetohydrodynamics micropolar fluid with heat transportation through a channel having porous walls. By employing the suitable dimensionless coordinates, the flow model equations are converted into a nonlinear system of dimensionless ordinary differential equations, which are then numerically treated for different preeminent parameters with the help of quasi-linearization. The system of complex nonlinear differential equations can efficiently be solved using this technique. Impact of the problem parameters for microrotation, temperature, and velocity are interpreted and discussed through tables and graphs. The present numerical results are compared with those presented in previous literature and examined to be in good contact with them. It has been noted that the imposed magnetic field acts as a frictional force which not only increases the shear stresses and heat transfer rates at the channel walls, but also tends to rotate the micro particles in the fluid more rapidly. Furthermore, viscous dissipation may raise fluid temperature to such a level that the possibility of thermal reversal exists, at the geometric boundaries of the domain. It is therefore recommended that external magnetic fields and viscous dissipation effects may be considered with caution in applications where thermal control is required.

Effects of Partial Slip on the Analytic Heat and Mass Transfer for the Incompressible Viscous Fluid of a Porous Rotating Disk Flow

2011 ◽  
Vol 133 (12) ◽  
Author(s):  
Mustafa Turkyilmazoglu
Keyword(s):  
Viscous Fluid ◽  
Exact Solutions ◽  
Stokes Equations ◽  
Equations Of Motion ◽  
Rotating Disk ◽  
Incompressible Viscous Fluid ◽  
Temperature Fields ◽  
Partial Slip ◽  
Shear Stresses ◽  
Rotating Disk Flow

The present paper is concerned with a class of exact solutions to the steady Navier-Stokes equations for the incompressible Newtonian viscous fluid flow motion due to a porous disk rotating with a constant angular speed about its axis. The recent study (Turkyilmazoglu, 2009, “Exact Solutions for the Incompressible Viscous Fluid of a Porous Rotating Disk Flow,” Int. J. Non-Linear Mech., 44, pp. 352–357) is extended to account for the effects of partial flow slip and temperature jump imposed on the wall. The three-dimensional equations of motion are treated analytically yielding derivation of exact solutions for the flow and temperature fields. Explicit expressions representing the flow properties influenced by the slip as well as a uniform suction and injection are extracted, including the velocity, vorticity and temperature fields, shear stresses, flow and thermal layer thicknesses, and Nusselt number. The effects of variation in the slip parameters are better visualized from the formulae obtained.

MHD FLOW OF AN EYRING-POWELL FLUID WITH THE EFFECT OF THERMAL RADIATION, JOULE HEATING AND VISCOUS DISSIPATION

2020 ◽  
Vol 9 (11) ◽  
pp. 9259-9271
Author(s):  
K.R. Babu ◽  
G. Narender ◽  
K. Govardhan
Keyword(s):  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Shooting Technique ◽  
Similarity Transformations ◽  
The Magnetic Field

A two-dimensional stream of an magnetohydrodynamics (MHD) Eyring-Powell fluid on a stretching surface in the presence of thermal radiation, viscous dissipation and the Joule heating is analyzed. The flow model in the form of the Partial Differential Equations (PDEs) is transformed into a system of non-linear and coupled Ordinary Differential Equations (ODEs) by implementing appropriate similarity transformations. The resulting ordinary differential equations are solved numerically by the shooting technique with Adams-Moulton Method of fourth order. The numerical solution obtained for the velocity and temperature profiles has been presented through graphs for different choice of the physical parameters. The magnetic field is found to have a direct relation with the temperature profile and an inverse with the velocity profile. Increasing the thermal radiation, the temperature tends to rise.

Entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating

2018 ◽  
Vol 30 (1) ◽  
pp. 017101 ◽  
Author(s):  
Tasawar Hayat ◽  
Sumaira Qayyum ◽  
Muhammad Ijaz Khan ◽  
Ahmed Alsaedi
Keyword(s):  
Viscous Dissipation ◽  
Entropy Generation ◽  
Joule Heating ◽  
Rotating Disk

Effects of chemical reaction and thermophoresis on magneto-hydrodynamic mixed convective heat and mass transfer flow along an inclined plate in the presence of heat generation and (or) absorption with viscous dissipation and Joule heating

2008 ◽  
Vol 86 (9) ◽  
pp. 1057-1066 ◽  
Author(s):  
M S Alam ◽  
M M Rahman ◽  
M A Sattar
Keyword(s):  
Differential Equations ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Joule Heating ◽  
Viscous Drag ◽  
Integration Scheme ◽  
Deposition Flux ◽  
First Order ◽  
Homogeneous Chemical

The present paper deals with the effects of thermophoresis and the homogeneous chemical reactions of first order on magneto-hydrodynamic mixed convective flow past a heated inclined permeable flat plate in the presence of heat generation or absorption considering the viscous dissipation and Joule heating. The resulting governing partial differential equations are transformed into non-dimensional ordinary differential equations using the usual similarity transformations and then solved numerically by applying the Nachtsheim–Swigert shooting iteration technique together with the sixth-order Runge–Kutta integration scheme. Comparison with previously published work is performed and very good agreement is obtained. A parametric study of the governing parameters is carried out and the results are displayed graphically. The results show that viscous drag, rate of heat transfer, and wall deposition flux decreases as the angle of inclination increases. It is also observed that due to the presence of the first-order homogeneous chemical reaction, the concentration decreases with increasing values of the chemical reaction parameter.PACS Nos.: 44.20.+b, 47.65.–d, 47.70.Fw

scholarly journals Influence of Joule Heating and Non-Linear Radiation on MHD 3D Dissipating Flow of Casson Nanofluid past a Non-Linear Stretching Sheet

2019 ◽  
Vol 8 (1) ◽  
pp. 661-672
Author(s):  
Pandikunta Sreenivasulu ◽  
Tamalapakula Poornima ◽  
Nandanoor Bhaskar Reddy
Keyword(s):  
Differential Equations ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Skin Friction Coefficient ◽  
Casson Nanofluid ◽  
Similarity Transformations ◽  
Non Linear

Abstract Present analysis is to study the combined effects of viscous dissipation and Joule heating on MHD three-dimensional laminar flow of a viscous incompressible non-linear radiating Casson nanofluid past a nonlinear stretching porous sheet. Present model describes that flow generated by bi-directional non-linear stretching sheet with thermophoresis and Brownian motion effects. The governing nonlinear partial differential equations are transformed into a system of nonlinear coupled ordinary differential equations by similarity transformations and then solved by employing shooting method. The effects of the flow parameters on the velocity, temperature and concentration as well as the skin friction coefficient, Nusselt number and Sherwood number near the wall are computed for various values of the fluid properties. This study reveals that the temperature of Casson nanofluid increases with combination of viscous dissipation and Joule heating. Increasing thermophoresis parameter increases the species concentration of the nanoflow. The comparison of present results have been made with the published work and the results are found to be very good agreement.

scholarly journals Stress work effect on natural convection flow along a vertical flat plate with Joule heating and heat conduction

1970 ◽  
Vol 38 ◽  
pp. 18-24
Author(s):  
Md M Alam ◽  
MA Alim ◽  
Md. MK Chowdhury
Keyword(s):  
Heat Conduction ◽  
Free Convection ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Finite Thickness ◽  
Skin Friction Coefficient ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Similarity Transformations ◽  
Stress Work

In the present paper, the effects of viscous dissipation and pressure stress work on free convection flow along a vertical plate have been investigated. Joule heating and heat conduction through a wall of finite thickness are considered in the investigation. With a goal to attain similarity solutions of the problem, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-similar forms by introducing non- similarity transformations. The resulting non-similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the finite difference method along with Newton's linearization approximation. Numerically calculated velocity profiles, temperature profiles, skin friction coefficient and the surface temperature distributions are shown both on graphs and tables for different values of the parameters entering into the problem. Keywords: Free convection, Joule heating, viscous dissipation and pressure work.DOI: 10.3329/jme.v38i0.896 Journal of Mechanical Engineering Vol.38 Dec. 2007 pp.18-24  

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