scholarly journals Combined effect of free and forced convection on MHD flow in a rotating porous channel

1982 ◽  
Vol 5 (1) ◽  
pp. 165-182 ◽  
Author(s):  
D. R. V. Prasada Rao ◽  
D. V. Krishna ◽  
Lokenath Debnath
Keyword(s):  
Magnetic Field ◽  
Forced Convection ◽  
Fluid Flows ◽  
Mhd Flow ◽  
Combined Effect ◽  
Porous Channel ◽  
Shear Stresses ◽  
Mass Rate ◽  
Flow Parameters ◽  
Free And Forced Convection

This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof numberG, the Hartmann numberH, the Ekman numberE, and the suction Reynolds numberS. The solutions for the velocity field, temperature distribution, magnetic field, mass rate of flow and the shear stresses on the channel boundaries are obtained using a perturbation method with the small parameterS. The nature of the associated boundary layers is investigated for various values of the governing flow parameters. The velocity, the temperature, and the shear stresses are discussed numerically by drawing profiles with reference to the variations in the flow parameters.

scholarly journals Entropy generation analysis for MHD flow of water past an accelerated plate

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tarek N. Abdelhameed
Keyword(s):  
Magnetic Field ◽  
Entropy Generation ◽  
Transfer Problem ◽  
Finite Difference Methods ◽  
Mhd Flow ◽  
Bejan Number ◽  
Physical Conditions ◽  
Flow Parameters ◽  
The Laplace Transform ◽  
Constant Heating

AbstractThis article examines the entropy generation in the magnetohydrodynamics (MHD) flow of Newtonian fluid (water) under the effect of applied magnetic in the absence of an induced magnetic field. More precisely, the flow of water is considered past an accelerated plate such that the fluid is receiving constant heating from the initial plate. The fluid disturbance away from the plate is negligible, therefore, the domain of flow is considered as semi-infinite. The flow and heat transfer problem is considered in terms of differential equations with physical conditions and then the corresponding equations for entropy generation and Bejan number are developed. The problem is solved for exact solutions using the Laplace transform and finite difference methods. Results are displayed in graphs and tables and discussed for embedded flow parameters. Results showed that the magnetic field has a strong influence on water flow, entropy generation, and Bejan number.

scholarly journals Influence of Hall Current and Thermal Radiation on MHD Convective Heat and Mass Transfer in a Rotating Porous Channel with Chemical Reaction

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Dulal Pal ◽  
Babulal Talukdar
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Hall Current ◽  
Perturbation Technique ◽  
Porous Channel ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Resultant Velocity

A theoretical study is carried out to obtain an analytic solution of heat and mass transfer in a vertical porous channel with rotation and Hall current. A constant suction and injection is applied to the two insulating porous plates. A strong magnetic field is applied in the transverse direction. The entire system rotates with uniform angular velocity Ω about the axis normal to the plates. The governing equations are solved by perturbation technique to obtain the analytical results for velocity, temperature, and concentration fields and shear stresses. The steady and unsteady resultant velocities along with the phase differences for various values of physical parameters are discussed in detail. The effects of rotation, buoyancy force, magnetic field, thermal radiation, and heat generation parameters on resultant velocity, temperature, and concentration fields are analyzed.

Effect of an Inclined Magnetic Field on the Flow of Nanofluids in a Tapered Asymmetric Porous Channel with Heat Source/Sink and Chemical Reaction

2017 ◽  
Vol 1 (2) ◽  
pp. 104 ◽  
Author(s):  
Ajaz Ahmad Dar
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Chemical Reaction ◽  
Wave Length ◽  
Porous Channel ◽  
Inclined Magnetic Field ◽  
Electrically Conducting ◽  
Flow Parameters ◽  
Channel Effect ◽  
Source Sink

<p><em>This article deals with the effect of an inclined magnetic field with heat source/sink on the flow of nanofluids in a tapered asymmetric porous channel. Effect of chemical reaction has been taken into account. The blood is considered as an incompressible electrically conducting viscous fluid. The assumption of low Reynolds number and long wave length approximations has been adopted. Exact solutions for dimensionless axial velocity, concentration and temperature profile are obtained analytically. The obtained results are displayed and discussed in detail with the help of graphs for the variation of different emerging flow parameters.</em></p>

MHD Flow of an Oldroyd-B Fluid Through a Porous Channel

2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Ali Shehzad ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Analytic Solution ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Porous Channel ◽  
Analysis Method ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Number Comparison ◽  
Homotopy Analysis ◽  
Layer Flow

This paper discusses the hydromagnetic boundary layer flow of an Oldroyd-B fluid in a porous channel. Both suction and injection (blowing) cases are considered. Appropriate similarity transformations are invoked to convert the partial differential equations into ordinary ones. Homotopy analysis method (HAM) is used for the presentation of analytic solution of the nonlinear differential system. Graphical results provide the salient features of the embedded flow parameters which include the Reynolds number, the Deborah numbers, and the Hartman number. Comparison between the existing numerical solution in a Maxwell fluid and present deduced series solution in a limiting sense is excellent.

scholarly journals Investigation of Thermal Transport in Multi-Shaped Cu Nanomaterial-Based Nanofluids

Materials ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 2737 ◽  
Author(s):  
Adnan ◽  
Syed Zulfiqar Ali Zaidi ◽  
Umar Khan ◽  
Thabet Abdeljawad ◽  
Naveed Ahmed ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Successful Implementation ◽  
Shear Stresses ◽  
Magnetic Field Effects ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Homotopy Analysis ◽  
The Magnetic Field

The unsteady flow of H2O saturated by tiny nanosized particles with various shapes (platelets, blades, cylinders, and bricks) over a thin slit is reported. For this novel analysis, the influences of the magnetic field and heat generation/absorption are incorporated into the governing model. The dimensionless nanofluid model is attained after the successful implementation of similarity transformations. Then, Runge-Kutta and homotopy analysis algorithms are implemented for mathematical analysis, and the results are obtained by varying the main flow parameters. A decrease in nanofluid motion is observed for a stronger magnetic field (M). Additionally, nanofluid temperature β(η) increases for higher values of M. Decreasing trends in the shear stresses Rex0.5CFx are observed for the unsteadiness parameter S, and this declines with stronger M. Similarly, the local heat transfer rate Rex−0.5Nux rises with the unsteady behavior of the fluid. It is observed that the nanofluid motion drops for variable thickness ( λ ) of the slit, whereas the motion becomes slower with stronger magnetic field effects (M).

scholarly journals Heat Transfer in MHD Flow due to a Linearly Stretching Sheet with Induced Magnetic Field

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Tarek M. A. El-Mistikawy
Keyword(s):  
Magnetic Field ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Mhd Flow ◽  
Velocity Slip ◽  
Heat Diffusion ◽  
Induced Magnetic Field ◽  
Suction Velocity ◽  
Flow Parameters ◽  
Temperature Heat

The traditionally ignored physical processes of viscous dissipation, Joule heating, streamwise heat diffusion, and work shear are assessed and their importance is established. The study is performed for the MHD flow due to a linearly stretching sheet with induced magnetic field. Cases of prescribed surface temperature, heat flux, surface feed (injection or suction), velocity slip, and thermal slip are considered. Sample numerical solutions are obtained for the chosen combinations of the flow parameters.

scholarly journals Unsteady MHD Flow Due to Non-Coaxial Rotations of a Porous Disk and a Fluid at Infinity Subjected to a Periodic Suction

2018 ◽  
Vol 23 (3) ◽  
pp. 623-633
Author(s):  
M. Guria
Keyword(s):  
Magnetic Field ◽  
Fixed Point ◽  
Velocity Field ◽  
Unsteady Flow ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Shear Stresses ◽  
Porous Disk ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid

Abstract The unsteady flow of a viscous incompressible electrically conducting fluid due to non-coaxial rotations of a porous disk subjected to a periodic suction and the fluid at infinity in the presence of applied transverse magnetic field has been studied. The fluid at infinity passes through a fixed point. The velocity field, shear stresses are obtained in a closed form.

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