scholarly journals Influence of Inclined Magnetic Field on the Peristaltic Flow of a Jeffrey Fluid in an Inclined Porous Channel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 319
Author(s):  
V. Jagadeesh ◽  
S. Sreenadh ◽  
P. Lakshminarayana2
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Porous Medium ◽  
Wave Length ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Small Reynolds Number ◽  
Inclined Magnetic Field ◽  
Governing Equations ◽  
Uniform Channel

In this paper we have studied the effects of inclined magnetic field, porous medium and wall properties on the peristaltic transport of a Jeffry fluid in an inclined non-uniform channel. The basic governing equations are solved by using the infinite wave length and small Reynolds number assumptions. The analytical solutions have obtained for velocity and stream function. The variations in velocity for different values of important parameters have presented in graphs. The results are discussed for both uniform and non-uniform channels. 

Heat and mass transfer in a porous medium filled rectangular duct with Soret and Dufour effects under inclined magnetic field

2014 ◽  
Vol 24 (7) ◽  
pp. 1405-1436 ◽  
Author(s):  
Ali J. Chamkha ◽  
B. Mallikarjuna ◽  
R. Bhuvana Vijaya ◽  
D.R.V. Prasada Rao
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Inclined Magnetic Field ◽  
Rectangular Duct ◽  
Governing Equations ◽  
Soret And Dufour Effects ◽  
Content Type ◽  
Flow Heat

Purpose – The purpose of this paper is to study the effects of Soret and Dufour effects on convective heat and mass transfer flow through a porous medium in a rectangular duct in the presence of inclined magnetic field. Design/methodology/approach – Using the non-dimensional variables, the governing equations have been transformed into a set of differential equations, which are non-linear and cannot be solved analytically, therefore finite element method has been used for solving the governing equations. Findings – The influence of thermo-diffusion, diffusion thermo, radiation, dissipation, heat sources and the inclined magnetic field on all the flow, heat and mass transfer characteristics has been found to be significant. Originality/value – The problem is relatively original as it combines many effects as Soret and Dufour effects and chemical reaction under inclined magnetic field.

scholarly journals Inclined Magnetic Field of Non-uniform and Porous Medium Channel on Couple Stress Peristaltic Flow and application in medical treatment (Knee Arthritis)

2019 ◽  
Vol 54 (4) ◽  
Author(s):  
Liqaa Zeki Hummady ◽  
Iraq T. Abbas ◽  
Rana A. Mohammed
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Present Model ◽  
Mechanical Effect ◽  
Inclined Magnetic Field ◽  
Long Wavelength ◽  
Mathematical Expressions ◽  
Uniform Channel ◽  
Speed Effect

The present study analyzes the effect of couple stress fluid (CSF) with the activity of connected inclined magnetic field (IMF) of a non-uniform channel (NUC) through a porous medium (PM), taking into account the sliding speed effect on channel walls and the effect of nonlinear particle size, applying long wavelength and low Reynolds count estimates. The mathematical expressions of axial velocity, stream function, mechanical effect and increase in pressure have been analytically determined. The effect of the physical parameter is included in the present model in the computational results. The results of this algorithm have been presented in chart form by applying the mathematical program.

scholarly journals Magnetohydrodynamics Peristaltic Flow of a Couple- Stress with Varying Temperature and concentration for Jeffrey Fluid through a Flexible Porous Medium

2021 ◽  
Vol 26 (4) ◽  
pp. 466-484
Author(s):  
Saif Razzaq Al-Waily ◽  
Dheia G. Salih Al-Khafajy
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Internal Heat ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Peristaltic Motion ◽  
Velocity Equation ◽  
Effects Of Temperature

The topic of this paper is the peristaltic motion of a non-Newtonian Jeffrey fluid with couple stress across a porous medium inside a horizontal conduit. The unit is strained by a uniform magnetic field. It is taken into account the effects of viscous dissipation, internal heat generation, and radiation. This approach solves the equations of momentum, temperature, and velocity. The numerical formulas for temperature, axial velocity, and velocity are calculated as functionsof the problem's physical parameters. Numerical calculations, as well as the effects of temperature and the inclined slanted magnetic field and concentration on the velocity equation, were conducted for this formula, and the results were shown on the channel wall. The results of the problem's physical parameters In a series of statistics, the effects of this formula are explained numerically and graphically.

scholarly journals Impact of Velocity Second Slip and Inclined Magnetic Field on Peristaltic Flow Coating with Jeffrey Fluid in Tapered Channel

Coatings ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 30 ◽  
Author(s):  
Najma Saleem ◽  
Safia Akram ◽  
Farkhanda Afzal ◽  
Emad H. Aly ◽  
Anwar Hussain
Keyword(s):  
Magnetic Field ◽  
Numerical Solutions ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Inclined Magnetic Field ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Tapered Channel ◽  
Mathematica Software

The peristaltic flow of velocity second slip boundary conditions and inclined magnetic field of Jeffrey fluid by means of heat and mass transfer in asymmetric channel was inspected in the present study. Leading equations described the existing flow were then simplified under lubrication approach. Therefore, exact solutions of stream function, concentration and temperature were deduced. Further, the numerical solutions of pressure rise and pressure gradient were computed using Mathematica software. Furthermore, the effect of the second slip parameter was argued via graphs. It has been depicted that this kind of slip is mandatory and very imperative to foresee the physical model. On the other hand, false results will be obtained.

scholarly journals MHD Peristaltic Flow of Fractional Jeffrey Model through Porous Medium

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xiaoyi Guo ◽  
Jianwei Zhou ◽  
Huantian Xie ◽  
Ziwu Jiang
Keyword(s):  
Porous Medium ◽  
Pressure Rise ◽  
Maxwell Fluid ◽  
Peristaltic Flow ◽  
Constitutive Relationship ◽  
Second Grade ◽  
Jeffrey Fluid ◽  
Viscoelastic Parameters ◽  
Special Cases ◽  
Generalized Second Grade Fluid

The magnetohydrodynamic (MHD) peristaltic flow of the fractional Jeffrey fluid through porous medium in a nonuniform channel is presented. The fractional calculus is considered in Darcy’s law and the constitutive relationship which included the relaxation and retardation behavior. Under the assumptions of long wavelength and low Reynolds number, the analysis solutions of velocity distribution, pressure gradient, and pressure rise are investigated. The effects of fractional viscoelastic parameters of the generalized Jeffrey fluid on the peristaltic flow and the influence of magnetic field, porous medium, and geometric parameter of the nonuniform channel are presented through graphical illustration. The results of the analogous flow for the generalized second grade fluid, the fractional Maxwell fluid, are also deduced as special cases. The comparison among them is presented graphically.

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