scholarly journals Effect of Hall Current on MHD Oscillatory Slip Flow with Varying Temperature and Concentration

2017 ◽  
Vol 5 (2) ◽  
Author(s):  
K. Sumathi ◽  
T. Arunachalam ◽  
N. Radha
Keyword(s):  
Oscillatory Flow ◽  
Hall Current ◽  
Saturated Porous Medium ◽  
Slip Flow ◽  
Lower Boundary ◽  
Cross Flow ◽  
Radiation Chemical ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Cross Flow Velocity

An investigation of the effect of Hall current on an unsteady MHD mixed convective oscillatory flow of an electrically conducting fluid through a planar channel filled with saturated porous medium is carried out in this paper. The effect of buoyancy, heat source, thermal radiation, chemical reaction and Hall current are taken into account with slip velocity, varying temperature and concentration at the lower boundary. A series solution is found using perturbation techniques. The effects of various parameters on the main and cross flow velocity, temperature, Skin friction, rate of heat and mass transfer are discussed numerically. 

Solar Radiation Effect on a Magneto Nanofluid Flow in a Porous Medium with Chemically Reactive Species

2018 ◽  
Vol 16 (9) ◽  
Author(s):  
Mohamed R. Eid ◽  
O.D. Makinde
Keyword(s):  
Porous Medium ◽  
Solar Radiation ◽  
Saturated Porous Medium ◽  
Surface Concentration ◽  
Radiation Absorption ◽  
Physical Parameters ◽  
Radiation Chemical ◽  
Electrically Conducting ◽  
Special Cases ◽  
Chemically Reactive Species

Abstract The combined impact of solar radiation, chemical reaction, Joule heating, viscous dissipation and magnetic field on flow of an electrically conducting nanofluid over a convectively heated stretching sheet embedded in a saturated porous medium is simulated. By using appropriate similarity transformation, the governing nonlinear equations are converted into ODEs and numerical shooting technique with (RK45) method is employed to tackle the problem. The effects of various thermo-physical parameters on the entire flow structure with heat and mass transfer are presented graphically and discussed quantitatively. Special cases of our results are benchmarked with some of those obtained earlier in the literature and are found to be in excellent agreement. It is found that both the temperature and surface concentration gradients are increasing functions of the non-Darcy porous medium parameter. One describing result is the incident solar radiation absorption and its transmission into the working nanofluid by convection.

Combined Effect of Temperature Modulation and Magnetic Field on the Onset of Convection in an Electrically Conducting-Fluid-Saturated Porous Medium

2008 ◽  
Vol 130 (5) ◽  
Author(s):  
B. S. Bhadauria
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Effect Of Temperature ◽  
Temperature Modulation ◽  
Vertical Magnetic Field ◽  
Onset Of Convection ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Fluid Saturated Porous Medium

The effect of temperature modulation on the onset of thermal convection in an electrically conducting fluid-saturated-porous medium, heated from below, has been studied using linear stability analysis. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small. The porous medium is confined between two horizontal walls and subjected to a vertical magnetic field; flow in porous medium is characterized by Brinkman–Darcy model. Considering only infinitesimal disturbances, and using perturbation procedure, the combined effect of temperature modulation and vertical magnetic field on thermal instability has been studied. The correction in the critical Rayleigh number is calculated as a function of frequency of modulation, Darcy number, Darcy Chandrasekhar number, magnetic Prandtl number, and the nondimensional group number χ. The influence of the magnetic field is found to be stabilizing. Furthermore, it is also found that the onset of convection can be advanced or delayed by proper tuning of the frequency of modulation. The results of the present model have been compared with that of Darcy model.

scholarly journals Hall and Ion Slip Influence on Mixed Convective Magnetohydrodynamic Oscillatory Flow through a Permeable Medium in Presence of Thermal Diffusion

2020 ◽  
Vol 6 (11) ◽  
pp. 26-33
Author(s):  
S. Aiswarya
Keyword(s):  
Oscillatory Flow ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Linear Partial Differential Equations ◽  
Electrically Conducting Fluid ◽  
Ion Slip ◽  
Dimensional Parameters ◽  
Flow Through

The aim of this study is to analyze the effect of Hall and ion slip on viscous incompressible electrically conducting fluid bounded by a vertical porous plate in the presence of chemical reaction and thermal radiation subject to oscillatory suction. The resulting coupled non-linear partial differential equations are solved analytically by applying perturbation technique. The influences of various non-dimensional parameters on velocity, temperature and concentration profiles were discussed numerically.

scholarly journals Dual Solutions of MHD Stagnation Slip Flow Past a Permeable Plate

2021 ◽  
Vol 80 (1) ◽  
pp. 137-146
Author(s):  
Mohamad Mustaqim Junoh ◽  
Nursyahanis Abdullah ◽  
Fadzilah Md Ali
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Slip Flow ◽  
Dual Solutions ◽  
Graphical Form ◽  
Permeable Plate ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Electrically Conducting Fluid ◽  
Steady Laminar

In this paper, dual solution to the problem of steady laminar magnetohydrodynamics boundary layer stagnation slip flow of the electrically conducting fluid over a permeable plate with suction effect is performed. The governing partial differential equations of the boundary layer are transformed into nonlinear ordinary differential equations via similarity transformations, and then numerically solved using the bvp4c method, which is the integrated algorithm of MATLAB. The effect of magnetic, slip and suction parameters on the skin friction coefficients and the velocity profiles and are presented in graphical form and discussed in detail. Dual solutions have been identified when suction is implied.

scholarly journals Non-Newtonian conducting fluid flow and heat transfer due to a rotating disk

2004 ◽  
Vol 46 (2) ◽  
pp. 237-248 ◽  
Author(s):  
Hazem A. Attia ◽  
Mohamed E. S. Ahmed
Keyword(s):  
Heat Transfer ◽  
Numerical Solutions ◽  
Hall Current ◽  
Rotating Disk ◽  
Conducting Fluid ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Fluid Characteristics

AbstractThe steady flow of an incompressible viscous non-Newtonian electrically conducting fluid and heat transfer due to the rotation of an infinite disk are studied considering the Hall effect. The effects of an externally applied uniform magnetic field, the Hall current, and the non-Newtonian fluid characteristics on the velocity and temperature distributions as well as the heat transfer are considered. Numerical solutions of the nonlinear equations which govern the magnetohydrodynamics (MHD) and energy transfer are obtained over the entire range of the physical parameters.

scholarly journals Effect of slip condition on viscoelastic mhd oscillatory forced convection flow in a vertical channel with heat radiation

2013 ◽  
Vol 18 (4) ◽  
pp. 1237-1248 ◽  
Author(s):  
K.D. Singh
Keyword(s):  
Magnetic Field ◽  
Oscillatory Flow ◽  
Slip Flow ◽  
Vertical Channel ◽  
Magnetic Reynolds Number ◽  
Slip Condition ◽  
Heat Radiation ◽  
Convection Flow ◽  
Parallel Plates ◽  
Electrically Conducting

Abstract In this paper an oscillatory flow of a viscoelastic, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel plates is discussed. One of these plates is subjected to a slip-flow condition and the other to a no-slip condition. The pressure gradient in the channel oscillates with time. A magnetic field of uniform strength is applied in the direction perpendicular to the plates. The induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The temperature difference of the two plates is also assumed high enough to induce heat transfer due to radiation. A closed form analytical solution to the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail the effects of different parameters entering into the problem. A number of particular cases have been shown by dotted curves in the figures. During the analysis it is found that the physical and the mathematical formulations of the problems by Makinde and Mhone (2005), Mehmood and Ali (2007), Kumar et al. (2010) and Choudhury and Das (2012) are not correct. The correct solutions to all these important oscillatory flow problems are deduced.

scholarly journals Hall-current effects on unsteady MHD flow between stretching sheet and an oscillating porous upper parallel plate with constant suction

2011 ◽  
Vol 15 (2) ◽  
pp. 527-536 ◽  
Author(s):  
Raju Changal ◽  
Reddy Ananda ◽  
Kumar Vijaya
Keyword(s):  
Stretching Sheet ◽  
Hall Current ◽  
Porous Plate ◽  
Fluid Motion ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Constant Suction

The unsteady MHD flow of an incompressible viscous electrically conducting fluid between two horizontal parallel non conducting plates, where the lower one is stretching sheet and the upper one is oscillating porous plate, is studied in the presence of a transverse magnetic field and the effects of Hall current. Fluid motion is caused by the stretching of the lower sheet and a constant suction is applied at the upper plate which is oscillating in its own plane. The stretching velocity of the sheet is assumed to be a linear function of distance along the channel. The expressions relating to the velocity distribution are obtained and effects of different values of various physical parameters are calculated numerically and shown graphically.

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