scholarly journals Combined effect of conduction and viscous dissipation on magnetohydrodynamic free convection flow along a vertical flat plate

1970 ◽  
Vol 4 (2) ◽  
pp. 87-98 ◽  
Author(s):  
Abdullah Al-Mamun ◽  
Nur Hosain Md Ariful Azim ◽  
Md. Abdul Maleque
Keyword(s):  
Viscous Dissipation ◽  
Numerical Solutions ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Electrically Conducting ◽  
Temperature Distributions ◽  
Two Dimensional Flow ◽  
Marine Engineering ◽  
Energy Equations ◽  
Conjugate Conduction

This paper concerns the effects of conduction and viscous dissipation on natural convection flow of an incompressible, viscous and electrically conducting fluid in the presence of transverse magnetic field. Numerical solutions for the governing momentum and energy equations are given. A discussion has been provided for the effects of magnetic parameter, Prandtl number, conjugate conduction parameter and viscous dissipation parameter on two-dimensional flow. Results for the details of the velocity, temperature distributions as well as the skin friction and the rate of heat transfer are shown graphically. Also the numerical values of the surface temperature distributions are presented in tabular form.DOI: http://dx.doi.org/10.3329/jname.v4i2.992 Journal of Naval Architecture and Marine Engineering Vol.4(2) 2007 p.87-98

scholarly journals Hydro Magnetic Elastic Free Convection of a Conducting Elastico-Viscous Liquid Between Heated Vertical Plates

2009 ◽  
Vol 5 (2) ◽  
pp. 47-56
Author(s):  
P. Sreehari Reddy ◽  
A. S. Nagarajan ◽  
M. Sivaiah
Keyword(s):  
Magnetic Parameter ◽  
Numerical Solutions ◽  
Transverse Magnetic ◽  
Elastic Parameter ◽  
Temperature Fields ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Elastic Liquid ◽  
Velocity And Temperature Fields ◽  
Marine Engineering

The natural convection flow of a conducting visco-elastic liquid between two heated vertical plates under the influence of a    transverse magnetic field has been studied in this paper. Dimensionless equations of the problem have been solved by the method of successive approximation. Numerical solutions for velocity and temperature have been obtained. The results obtained are discussed with the help of graphs. The effect of magnetic parameter M, Visco-elastic parameter RC and the product of Prandtl and Eckert numbers [PE] on velocity and temperature fields are investigatedKey words: Visco-elastic liquid, viscous dissipation, vertical plates, convection, successive approximation.DOI: 10.3329/jname.v5i2.2694Journal of Naval Architecture and Marine Engineering 5(2)(2008) 47-56  

scholarly journals Numerical Solution of MHD Incompressible Convection Flow in Channels

2019 ◽  
Author(s):  
Merve Gürbüz ◽  
Münevver Tezer-Sezgin
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Buoyancy Force ◽  
Energy Equation ◽  
Numerical Solutions ◽  
Convection Flow ◽  
Driven Cavity ◽  
Particular Solution ◽  
Energy Equations ◽  
The Magnetic Field

The purpose of this paper is to study numerically the influence of the magnetic field, buoyancy force and viscous dissipation on the convective flow and temperature of the fluid in a square cavity, lid-driven cavity, and lid-driven cavity with an obstacle at the center. The continuity, momentum and energy equations are coupled including buoyancy and magnetic forces, and energy equation contains Joule heating and viscous dissipation. The equations are solved in terms of stream function, vorticity and temperature by using polynomial radial basis function (RBF) approximation for the inhomogeneity and particular solution. The numerical solutions are obtained for several values of Grashof number (Gr), Hartmann number (M) for fixed Prandtl number Pr = 0:71 and fixed Reynolds number Re = 100 with or without viscous dissipation. It is observed that in the absence of obstacle, viscous dissipation changes the symmetry of the isotherms, and the dominance of buoyancy force increases with an increase in Gr, whereas decreases when the intensity of magnetic field increases. The obstacle in the lid-driven cavity causes a secondary flow on its left part. The effect of moving lid is weakened on the flow and isotherms especially for large Gr when the cavity contains obstacle.

scholarly journals Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

Impact of Viscous Dissipation on Fully Developed Natural Convection Flow in a Vertical Microchannel

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Basant K. Jha ◽  
Babatunde Aina
Keyword(s):  
Natural Convection ◽  
Viscous Dissipation ◽  
Velocity Slip ◽  
Coupled System ◽  
Perturbation Series ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Flow Formation ◽  
Wall Interaction ◽  
Energy Equations

In this research paper, fully developed natural convection flow in a vertical parallel plate's micro-channel in the presence of viscous dissipation is theoretically examined by using a perturbation series method. The effects of velocity slip and temperature jump are taken to consideration. Due to the presence of viscous dissipation, the momentum and energy equations are coupled system of ordinary differential equations. The influences of Knudsen number, fluid wall interaction parameter, and viscous dissipation on the flow formation and heat transfer aspects are demonstrated through graphs and tables. This result indicates that increasing the value of rarefaction parameter decreases the effect of viscous dissipation on the Nusselt number. Furthermore, it is found that the effects of rarefaction parameter as well as buoyancy parameter on temperature and velocity are significantly pronounced in the case of symmetric heating

Porous exponential slider bearings lubricated with MHD-couple stress fluid

2018 ◽  
Vol 70 (5) ◽  
pp. 838-845 ◽  
Author(s):  
N.B. Naduvinamani ◽  
Shridevi S. Hosmani
Keyword(s):  
Couple Stress ◽  
Numerical Solutions ◽  
Transverse Magnetic ◽  
Operating Conditions ◽  
Couple Stress Fluid ◽  
Content Type ◽  
Electrically Conducting ◽  
Slider Bearings ◽  
Load Carrying ◽  
First Time

Purpose The purpose of this study is to examine the magneto-hydrodynamic (MHD) effect on porous exponential slider bearings lubricated with couple stress fluid and to derive the modified Reynolds’s equation for non-Newtonian fluid under various operating conditions to obtain the optimum bearing parameters. Design/methodology/approach Based upon the MHD theory and Stokes theory for couple stress fluid, the governing equations relevant to the problem under consideration are derived. This paper analyzes the effect on porous exponential slider bearings with an electrically conducting fluid in the presence of a transverse magnetic field. Semi-numerical solutions are obtained and discussed. Findings It is found that there is an increase in the load carrying capacity, frictional force and decrease in the co-efficient of friction in porous bearings due to the presence of magnetic effects with couple stress fluid. Originality/value This study is relatively original and gives the MHD effect on porous exponential slider bearings lubricated with couple stress fluid. The author believes that the paper presents these results for the first time.

The Effect of Viscous Dissipation and Thermal Radiation in Siskoferronanofluid Flow over a Porous Medium

2021 ◽  
Vol 54 ◽  
pp. 118-131
Author(s):  
K. Saritha ◽  
R. Muthusami ◽  
M. Rameshkumar
Keyword(s):  
Heat Transfer ◽  
Ethylene Glycol ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Current Data ◽  
Convection Flow ◽  
Physical Parameters ◽  
Nickel Zinc ◽  
Comparison Table ◽  
Energy Equations

This Paper contributes heat transfer phenomena in mixed convection flow of Siskoferronanofluidover a porous surface in the presence of a temperature gradient heat sink with prescribed heatflux. The effect of viscous dissipation and thermal radiation on the flow field is also taken in to consideration. The three types of ferromagnetic particles Nickel Zinc ferrite (Ni–ZnFe2O4), ManganeseZinc ferrite (Mn1/2Zn1/2Fe2O4) and Cobalt ferrite (CoFe2O4) are considered with water (H2O)and Ethylene Glycol (C2H6O2) as conventional base fluids. The RungeKuttaFehlberg method of numerical methodology is used to solve momentum and energy equations. With the help of graphs andtables, the effect of various associated physical parameters on the velocity, temperature, Skin frictioncoefficient and Nusselt number is studied. The present results indicate that the heat transfer rate ofEthylene Glycol based Siskoferronanofluid is higher than that of water based fluid and also waterbased Siskoferronanofluid reduces shear stress of the fluid flow rapidly than Ethylene glycol basedfluid. The accuracy of the results comparison table is validated with the current data.

MHD free convection flow in a vertical porous super-hydrophobic micro-channel

2020 ◽  
pp. 095440892096505
Author(s):  
BK Jha ◽  
BJ Gwandu
Keyword(s):  
Slip Surface ◽  
Hydrophobic Surface ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Micro Channel ◽  
Channel One ◽  
Electrically Conducting ◽  
Micro Fluidics ◽  
Temperature Jump Coefficient

A free convective flow of an incompressible and electrically conducting fluid through a vertical micro-channel of rectangular geometry was considered. Both plates were porous and heated alternately. A transverse magnetic field was applied across the channel. One channel wall surface was no slip and the other was super-hydrophobic. The purpose of the study is to examine the effects of super-hydrophobicity, magnetism and wall porosity on the main characteristics of the flow. The exact solutions of the formulated differential equations were provided. A few highlights of the results obtained include: (1) the magnetic parameter lowered the skin friction at both surfaces when either of them were heated, (2) the suction/injection parameter raised the fluid temperature when the super-hydrophobic surface (SHS) was heated and brought it down when the no slip surface (NSS) was heated, (3) a critical temperature jump coefficient was observed at which the flow rates in both cases (only SHS heated, and only NSS heated) were equal. A few application areas of the research include micro-fluidics and micro-electronics.

Magnetohydrodynamic flow of Newtonian fluid in a scraped surface heat exchanger

2015 ◽  
Vol 93 (10) ◽  
pp. 1088-1099 ◽  
Author(s):  
A.M. Siddiqui ◽  
A. Imran ◽  
M. Zeb ◽  
M.A. Rana
Keyword(s):  
Heat Exchanger ◽  
Newtonian Fluid ◽  
Transverse Magnetic ◽  
Surface Heat ◽  
Flow Properties ◽  
Electrically Conducting ◽  
Flow Parameters ◽  
Scraped Surface Heat Exchanger ◽  
Two Dimensional Flow ◽  
Surface Heat Exchanger

This paper aims to study a mathematical model of electrically conducting incompressible Newtonian fluid flow in a scraped surface heat exchanger in the presence of a transverse magnetic field. In our case the gap between the blades and the device wall is narrow so lubrication theory approximations work for the flow. Steady isothermal flow of an electrically conducting Newtonian fluid is considered around a periodic array of pivoted scraper blade in a channel in which the lower wall is moving and the upper wall is at rest. Two-dimensional flow in the transverse section of a scraped surface heat exchanger is taken. Details of the flow properties, including the possible presence of regions of reversed flow under the blades, the forces on the blades and walls, and the fluxes of fluid above and below the blades are calculated. Graphic representation for involved flow parameters is also given.

scholarly journals Effects of Thermal Diffusion and Viscous Dissipation on Unsteady MHD Free Convection Flow Past a Vertical Porous Plate Under Oscillatory Suction Velocity with Heat Sink

2014 ◽  
Vol 19 (2) ◽  
pp. 303-320 ◽  
Author(s):  
B. Prabhakar Reddy
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Thermal Diffusion ◽  
Viscous Dissipation ◽  
Porous Plate ◽  
Numerical Data ◽  
Convection Flow ◽  
Suction Velocity ◽  
Electrically Conducting ◽  
Vertical Porous Plate

Abstract The thermal diffusion and viscous dissipation effects on an unsteady MHD free convection heat and mass transfer flow of an incompressible, electrically conducting, fluid past an infinite vertical porous plate embedded in a porous medium of time dependent permeability under oscillatory suction velocity in the presence of a heat absorbing sink have been studied. It is considered that the influence of a uniform magnetic field acts normal to the flow and the permeability of the porous medium fluctuates with time. The dimensionless governing equations for this investigation have been solved numerically by using the efficient Galerkin finite element method. The numerical results obtained have been presented through graphs and tables for the thermal Grashof number (Gr > 0) corresponding to the cooling of the porous plate and (Gr < 0) corresponding to heating of the porous plate to observe the effects of various material parameters encountered in the problem under investigation. Numerical data for skin-friction, Nusselt and Sherwood numbers are tabulated and then discussed.

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