Effects of Hall current and ion-slip on the peristaltic motion of couple stress fluid with thermal deposition

2017 ◽  
Vol 31 (1) ◽  
pp. 117-126 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabia Asghar ◽  
Anum Tanveer ◽  
Ahmed Alsaedi
Keyword(s):  
Couple Stress ◽  
Hall Current ◽  
Couple Stress Fluid ◽  
Peristaltic Motion ◽  
Thermal Deposition ◽  
Ion Slip

scholarly journals Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and ion-slip effects

2011 ◽  
Vol 16 (4) ◽  
pp. 477-487 ◽  
Author(s):  
Darbhashayanam Srinivasacharya ◽  
Kolla Kaladhar
Keyword(s):  
Differential Equations ◽  
Couple Stress ◽  
Circular Cylinders ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Ion Slip

This paper presents the Hall and Ion-slip effects on electrically conducting couple stress fluid flow between two circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and  temperature are discussed and shown graphically.

scholarly journals Double-Diffusive Convection of Synovial (Couple-Stress) Fluid in the Presence of Hall Current Through a Porous Medium

2018 ◽  
Vol 23 (4) ◽  
pp. 963-976
Author(s):  
M. Singh
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Synovial Fluid ◽  
Couple Stress ◽  
Hall Current ◽  
Couple Stress Fluid ◽  
Double Diffusive Convection ◽  
Onset Of Convection ◽  
Diffusive Convection ◽  
Double Diffusive

Abstract An investigation made on the effect of Hall currents on double-diffusive convection of a compressible synovial (couple-stress) fluid in the presence of a horizontal magnetic field through a porous layer is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, compressibility, magnetic field and porous layer is derived. For the stationary convection, a synovial fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. The stable-solute gradient, compressibility, and magnetic field have postponed the onset of convection, whereas Hall currents and medium permeability have not postponed the onset of convection, moreover, a synovial fluid has a dual character in the presence of Hall currents, whereas in the absence of Hall current in synovial fluid have postponed the onset of convection, which is in contrast in case of thermal convection couple-stress fluid with same effects. These analytic results are confirmed numerically and the effects of various parameters are depicted graphically. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field, porous medium and Hall currents which were non- existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

scholarly journals Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current

2016 ◽  
Vol 21 (1) ◽  
pp. 83-93 ◽  
Author(s):  
C.B. Mehta ◽  
M. Singh ◽  
S. Kumar
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Hall Current ◽  
Linear Stability Theory ◽  
Couple Stress Fluid ◽  
Horizontal Magnetic Field ◽  
Viscoelastic Parameter ◽  
Medium Permeability ◽  
Magnetic Filed

Abstract An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of a horizontal magnetic field saturated in a porous medium. The analysis is carried out within the framework of the linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, Hall currents, compressibility, magnetic field and porous medium is derived. For the stationary convection a couple-stress fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. Compressibility, the magnetic filed and couple-stress parameter have stabilizing effects on the system whereas Hall currents and medium permeability have a destabilizing effect on the system, but in the absence of Hall current couple-stress has a destabilizing effect on the system. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field porous medium and Hall currents which were non-existent in their absence.

scholarly journals Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation

2018 ◽  
Vol 8 (3) ◽  
pp. 2923-2930 ◽  
Author(s):  
A. A. Opanuga ◽  
H. I. Okagbue ◽  
S. A. Bishop ◽  
O. O. Agboola
Keyword(s):  
Entropy Generation ◽  
Joule Heating ◽  
Couple Stress ◽  
Hall Current ◽  
Fluid Velocity ◽  
Fluid Motion ◽  
Couple Stress Fluid ◽  
Entropy Generation Rate ◽  
Fluid Temperature ◽  
Adomian Decomposition

In this work, an analytical study of the effects of Hall current and Joule heating on the entropy generation rate of couple stress fluid is performed. It is assumed that the applied pressure gradient induces fluid motion. At constant velocity, hot fluid is injected at the lower wall and sucked off at the upper wall. The obtained equations governing the flow are transformed to dimensionless form and the resulting nonlinear coupled boundary value problems for velocity and temperature profiles are solved by Adomian decomposition method. Analytical expressions for fluid velocity and temperature are used to obtain the entropy generation and the irreversibility ratio. The effects of Hall current, Joule heating, suction/injection and magnetic field parameters are presented and discussed through graphs. It is found that Hall current enhances both primary and secondary velocities and entropy generation. It is also interesting that Joule heating raises fluid temperature and encourages entropy production. On the other hand Hartman number inhibited fluid motion while increase in suction/injection parameter resulted into a shift in flow symmetry.

scholarly journals Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium

2012 ◽  
Vol 43 (4) ◽  
pp. 541-555 ◽  
Author(s):  
G. Radhakrishnamacharya ◽  
Habtu Alemayehu
Keyword(s):  
Porous Medium ◽  
Couple Stress ◽  
Reaction Rate ◽  
Dispersion Coefficient ◽  
Heterogeneous Reaction ◽  
Couple Stress Fluid ◽  
Peristaltic Motion ◽  
Rate Parameter ◽  
Effective Dispersion ◽  
Limiting Condition

The paper presents an analytical solution for dispersion of a solute in the peristaltic motion of a couple stress fluid through a porous medium in the presence of both homogeneous and heterogeneous chemical reactions. The average effective dispersion coefficient has been found using Taylor's limiting condition and long wavelength approximation. The effects of various relevant parameters on the average coefficient of dispersion have been studied. The average effective dispersion coefficient increases with permeability parameter but decreases with homogeneous chemical reaction rate parameter, couple stress parameter and heterogeneous reaction rate parameter.

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