scholarly journals MHD Two-Fluid Flow and Heat Transfer between Two Inclined Parallel Plates in a Rotating System

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
P. Sri Ramachandra Murty ◽  
G. Balaji Prakash
Keyword(s):  
Perturbation Technique ◽  
Approximate Solutions ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Regular Perturbation ◽  
Rotating System ◽  
Two Phase ◽  
Electrically Conducting ◽  
Electrical Conductivities ◽  
Primary Velocity

Two-phase magnetohydrodynamic convective flow of electrically conducting fluid through an inclined channel is studied under the action of a constant transverse magnetic field in a rotating system. The fluids in the two phases are steady, incompressible, laminar, immiscible, and electrically conducting, having different densities, viscosities, and thermal and electrical conductivities. The transport properties of both the fluids are assumed constant. The bounding infinite inclined parallel plates are maintained at different constant temperatures, making an angle ϕ with the horizontal. Approximate solutions for velocity and temperature distributions are obtained by using a straightforward regular perturbation technique. An in-depth study has been done on the effects of rotation parameter, Hartmann number, inclination angle, the ratio of electrical conductivities, and viscosities of two fluids on the flow. It is observed that the effect of increasing rotation is to decrease the primary velocity. Further it is noticed that as the rotation increases, the secondary velocity increases for smaller rotation, while for larger rotation it decreases. It is also found that the temperature distribution decreases as the rotation increases.

scholarly journals Effect of magnetic field on peristaltic flow of Walters B fluid through a porous medium in a tapered asymmetric channel.

2017 ◽  
Vol 12 (12) ◽  
pp. 6889-6893
Author(s):  
Ahmed M Abdulhadi ◽  
Tamara S Ahmed
Keyword(s):  
Porous Medium ◽  
Perturbation Technique ◽  
Wave Length ◽  
Pressure Rise ◽  
Transverse Magnetic ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Regular Perturbation ◽  
Electrically Conducting ◽  
Walters B Fluid

The problem of peristaltic transport of an incompressible non-Newtonian fluid in a tapered a symmetric channel through a porous medium is presented under long-wave length and low Reynolds number assumptions, the fluid is considered to be Walters B fluid and electrically conducting by a transverse magnetic field.The tapered asymmetric channel in the flow induced by talking peristaltic wave imposed on the non-uniform boundary walls to possess different amplitudes and phases. Series solutions for stream function, axial velocity and pressure gradient are given using regular perturbation technique. Numerical computations have been performed for the pressure rise per wave length. The effect of the physical parameters of the problem on these distributions are discussed and illustrated graphically through a set of figures.

scholarly journals Three-dimensional oscillating flow between two parallel plates through a porous medium

2013 ◽  
Vol 18 (4) ◽  
pp. 1025-1037
Author(s):  
M. Guria ◽  
N. Ghara ◽  
R.N. Jana
Keyword(s):  
Reynolds Number ◽  
Porous Medium ◽  
Perturbation Technique ◽  
Three Dimensional ◽  
Injection Velocity ◽  
Parallel Plates ◽  
Suction Parameter ◽  
Constant Suction ◽  
Secondary Velocity ◽  
Primary Velocity

Abstract An unsteady Couette flow between two parallel plates when upper plates oscillates in its own plane and is subjected to a constant suction and the lower plate to a injection velocity distribution through the porous medium has been analyzed. The approximate solution has been obtained using perturbation technique. It is seen that the primary velocity increases whereas the secondary velocity decreases with an increase in permeability parameter. It is also found that the primary velocity increases with an increase in the Reynolds number as well as the suction parameter. The magnitude of the secondary velocity increases near the stationary plate but decreases near the oscillating plate with an increase in the Reynolds number. Whereas, it increases with an increase in the suction parameter.

scholarly journals Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system

2016 ◽  
Vol 21 (2) ◽  
pp. 423-446 ◽  
Author(s):  
T. Linga Raju ◽  
B. Neela Rao
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Differential Equations ◽  
Taylor Number ◽  
Rotating System ◽  
Electrically Conducting ◽  
Electrical Conductivities ◽  
Secondary Velocity ◽  
Conducting Fluids ◽  
Layered Fluid

AbstractAn unsteady MHD two-layered fluid flow of electrically conducting fluids in a horizontal channel bounded by two parallel porous plates under the influence of a transversely applied uniform strong magnetic field in a rotating system is analyzed. The flow is driven by a common constant pressure gradient in a channel bounded by two parallel porous plates, one being stationary and the other oscillatory. The two fluids are assumed to be incompressible, electrically conducting with different viscosities and electrical conductivities. The governing partial differential equations are reduced to the linear ordinary differential equations using two-term series. The resulting equations are solved analytically to obtain exact solutions for the velocity distributions (primary and secondary) in the two regions respectively, by assuming their solutions as a combination of both the steady state and time dependent components of the solutions. Numerical values of the velocity distributions are computed for different sets of values of the governing parameters involved in the study and their corresponding profiles are also plotted. The details of the flow characteristics and their dependence on the governing parameters involved, such as the Hartmann number, Taylor number, porous parameter, ratio of the viscosities, electrical conductivities and heights are discussed. Also an observation is made how the velocity distributions vary with the rotating hydromagnetic interaction in the case of steady and unsteady flow motions. The primary velocity distributions in the two regions are seen to decrease with an increase in the Taylor number, but an increase in the Taylor number causes a rise in secondary velocity distributions. It is found that an increase in the porous parameter decreases both the primary and secondary velocity distributions in the two regions.

Interface conditions for two-phase displacement in Hele-Shaw cells

1987 ◽  
Vol 183 ◽  
pp. 219-234 ◽  
Author(s):  
D. A. Reinelt
Keyword(s):  
Thin Film ◽  
Boundary Conditions ◽  
Plate Boundary ◽  
Approximate Solutions ◽  
Radius Of Curvature ◽  
Normal Velocity ◽  
Interface Conditions ◽  
Parallel Plates ◽  
Two Phase ◽  
Interface Edge

In displacing a viscous fluid from the gap between two closely spaced parallel plates, a thin film of the original fluid remains on the surface of each plate. Boundary conditions which connect the approximate equations in the region in front of the interface with the approximate solutions in the thin-film region are determined from local solutions of the equations in the vicinity of the interface edge. These interface conditions depend on both b/R (gap half-width/radius of curvature) and μUn/T, where μ is the viscosity of the original fluid, Un is the normal velocity of the interface edge, and T is the interfacial tension. These conditions are determined using perturbation method when μUn/T [Lt ] 1 and numerical methods when μUn/T is O(1). Though previous theories have shown qualitative agreement with experiments, it is hoped that these new boundary conditions improve the quantitative agreement.

scholarly journals MHD couette flow with heat transfer between two horizontal plates in the presence of a uniform transverse magnetic field

2003 ◽  
pp. 1-9
Author(s):  
G. Bodosa ◽  
A.K. Borkakati
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Constant Velocity ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Fluid Velocities ◽  
Two Dimensional Flow ◽  
Mhd Couette Flow

The problem of an unsteady two-dimensional flow of a viscous incompressible and electrically conducting fluid between two parallel plates in the presence of a uniform transverse magnetic field has been analyzed, when in case-I the plates are at different tem?peratures and in case-II the upper plate is considered to move with constant velocity where as the lower plate is adiabatic. Fluid velocities and temperatures are obtained and plotted graphically.

Hydromagnetic Convective Diffusion Between Parallel Plates With Suction

1985 ◽  
Vol 52 (1) ◽  
pp. 213-215
Author(s):  
N. Annapurna ◽  
A. S. Gupta ◽  
B. S. Dandapat
Keyword(s):  
Schmidt Number ◽  
Magnetic Parameter ◽  
Convective Diffusion ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Longitudinal Diffusion ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Uniform Wall

This paper presents an analytical solution for the dispersion of a solute in an electrically conducting fluid flowing between parallel plates with a transverse magnetic field and uniform wall suction. For fixed values of the suction parameter P and Schmidt number Sc, the longitudinal diffusion coefficient K decreases rapidly with increase in the magnetic parameter M. Further, for fixed M and Sc, it is found that K increases with increasing P. The effect of variation of Sc on K is found to be very small.

Dispersion of soluble matter in the hydromagnetic laminar flow between two parallel plates

1968 ◽  
Vol 64 (4) ◽  
pp. 1209-1214 ◽  
Author(s):  
A. S. Gupta ◽  
A. S. Chatterjee
Keyword(s):  
Magnetic Field ◽  
Diffusion Coefficient ◽  
Laminar Flow ◽  
Analytical Solution ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
The Mean

AbstractThe paper presents an analytical solution for the dispersion of a solute in an electrically conducting fluid flowing between two parallel plates in the presence of a transverse magnetic field. It is shown that the solute is dispersed relative to a plane moving with the mean speed of the flow with an effective Taylor diffusion coefficient which decreases with increase in magnetic field.

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