scholarly journals Rotating Hydromagnetic Two-Fluid Convective Flow and Temperature Distribution in an Inclined Channel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 629
Author(s):  
P. Sri Ramachandra Murty ◽  
G. Balaji Prakash ◽  
Ch. Karuna Sree
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Convective Flow ◽  
The Other ◽  
Parallel Plates ◽  
Inclined Channel ◽  
Electrically Conducting ◽  
Secondary Velocity ◽  
Primary Velocity ◽  
Two Fluid

Magnetohydrodynamic convective two-fluid flow and temperature distribution between two inclined parallel plates in which one fluid being electrically non-conducting and the other fluid is electrically conducting is studied. A constant magnetic field is applied normal to the flow. The system is rotated about y-axis with an angular velocity ‘W’.  Perturbation method is used to obtain solutions for primary velocity, secondary velocity and temperature distribution by assuming that the fluids in the two regions are incompressible, laminar, steady  and  fully  developed.  Increasing  values  of  rotation  is  to  reduce  temperature  distribution  and  primary  velocity where as thesecondary velocity increases for smaller rotation, while for larger rotation it decreases. 

scholarly journals Hall and induced magnetic field effects on convective flow of viscoelastic fluid within an inclined channel with periodic surface conditions

2020 ◽  
Vol 7 (4) ◽  
pp. 1-20
Author(s):  
J.K. Singh ◽  
S. Vishwanath
Keyword(s):  
Magnetic Field ◽  
Convective Flow ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Inclined Channel ◽  
Electrically Conducting ◽  
Field Effects ◽  
The Right ◽  
Flow Variables ◽  
Inclined Surface

This paper is concerned with the analytical study of the convective flow of a viscoelastic electrically conducting fluid within an inclined channel bounding a porous regime with Hall and induced magnetic field effects. An external magnetic field of high intensity is applied in the direction normal to the inclined surface. The left inclined surface of the channel is considered to be non-magnetic while the right inclined surface is assumed to be magnetized. Suitable non-dimensional transformations are used to reduce the problem to a similar non-dimensional problem. The resulting flow governing equations are solved analytically. The consequences of various flow influencing parameters to the flow variables are numerically computed and presented in graphical and tabular form. It is interesting to note that the growth in angle of inclination reduces the induced magnetic field in the left half of the channel while this effect is opposite in the vicinity of the right inclined surface due to magnetization of this surface.

scholarly journals Transient Free Convective Radiative Flow Between Vertical Parallel Plates Heated/Cooled Asymmetrically with Heat Generation and Slip Condition

2018 ◽  
Vol 23 (2) ◽  
pp. 365-384 ◽  
Author(s):  
P.K. Gaur ◽  
R.P. Sharma ◽  
A.K. Jha
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Momentum Transfer ◽  
Heat Generation ◽  
Convective Flow ◽  
Conducting Fluid ◽  
Slip Condition ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid

Abstract Investigation of an MHD convective flow of viscous, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel porous plates is carried out. Forchheimer-Brinkman extended Darcy model is assumed to simulate momentum transfer within the porous medium. A magnetic field of uniform strength is applied normal to the plates. The analytical results are evaluated numerically and the presented graphically to discuss in detail the effects of different parameter entering into the problem.

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.

scholarly journals Adomain computation of radiative-convective bi-directional stretching flow of a magnetic non-Newtonian fluid in porous media with homogeneous–heterogeneous reactions

2020 ◽  
Vol 34 (18) ◽  
pp. 2050165 ◽  
Author(s):  
S. R. Mishra ◽  
Md. Shamshuddin ◽  
O. Anwar Beg ◽  
A. Kadir
Keyword(s):  
Stretching Sheet ◽  
Heterogeneous Reactions ◽  
Sisko Fluid ◽  
Heterogeneous Chemical Reaction ◽  
Electrically Conducting ◽  
Heterogeneous Chemical ◽  
Permeability Parameter ◽  
Secondary Velocity ◽  
Primary Velocity ◽  
Power Law Index

In the present communication, the laminar, incompressible, hydromagnetic flow of an electrically conducting non-Newtonian (Sisko) fluid over a bi-directional stretching sheet in a porous medium is studied theoretically. Thermal radiation flux, homogeneous–heterogeneous chemical reactions and convective wall heating are included in the model. The resultant nonlinear ordinary differential equations with transformed boundary conditions via similarity transformation are then solved with the semi-analytical Adomain Decomposition Method (ADM). Validation with earlier studies is included for the nonradiative case. Extensive visualization of velocity, temperature and species concentration distributions for various emerging parameters is included. Increasing the magnetic field and inverse permeability parameter is observed to decelerate both the primary and secondary velocity magnitudes whereas they increase temperatures in the regime. Increasing sheet stretching ratio weakly accelerates the primary flow throughout the boundary layer whereas it more dramatically accelerates the secondary flow near sheet surface. Temperature is consistently reduced with increasing stretching sheet ratio whereas it is strongly enhanced with greater radiative parameter. With greater Sisko non-Newtonian power-law index the primary velocity and temperature are decreased whereas the secondary velocity is increased. Increasing both homogenous and heterogeneous chemical reaction parameters is found to weakly and more strongly, respectively, deplete concentration magnitudes whereas greater Schmidt number enhances them.

Analytical Solution for the Electric Arc Dynamics and Heat Transfer When Exposed to a Magnetic Cross-Field

2018 ◽  
Vol 140 (6) ◽  
Author(s):  
Youssef Abdo ◽  
Vandad Rohani ◽  
François Cauneau ◽  
Laurent Fulcheri
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Relative Velocity ◽  
Electric Arc ◽  
The Other ◽  
Dynamic Equations ◽  
Gas Dynamic ◽  
Gas Dynamic Equations

The motion of the gliding DC electric arc under the effect of magnetic field is investigated. The temperature distribution in the inside and the outside of the moving arc is computed. The temperature distribution for the fixed-spot arc is also obtained. It appears that the gas relative velocity inside the arc gives rise to heat convection, which has an impact on the arc motion. A practical analytical solution is derived using magneto gas dynamic equations in order to investigate the heat transfer occurring in the arc and its vicinity, to determine its characteristics, and to estimate its velocity when it is exposed to external and electrode-induced magnetic fields. Two methods are suggested: one for the free-burning arc and the other for arc burning between close surrounding walls.

MATHEMATICAL MODELING OF OSCILLATORY MAGNETO-CONVECTION OF A COUPLE-STRESS BIOFLUID IN AN INCLINED ROTATING CHANNEL

2012 ◽  
Vol 12 (03) ◽  
pp. 1250050 ◽  
Author(s):  
O. ANWAR BÉG ◽  
S. K. GHOSH ◽  
S. AHMED ◽  
TASVEER BÉG
Keyword(s):  
Secondary Flow ◽  
Couple Stress ◽  
Shear Stresses ◽  
Field Equations ◽  
Electrically Conducting ◽  
Stress Effects ◽  
Secondary Velocity ◽  
Unit Depth ◽  
Primary Velocity ◽  
Rotating Channel

A mathematical study is conducted of the oscillatory hydromagnetic flow of a viscous, incompressible, electrically conducting, non-Newtonian bio-fluid in an inclined, rotating channel with nonconducting walls, incorporating couple stress effects. The constitutive equations for a couple-stress fluid and the Maxwell electromagnetic field equations are presented and then reduced to a set of coupled partial differential equations for the primary and secondary flow. The model is then nondimensionalized with appropriate variables and shown to be controlled by the inverse Ekman number (K2= 1/Ek), the hydromagnetic body force parameter (M), channel inclination (α), Grashof number (Gr), Prandtl number (Pr), oscillation frequency (ω), and time variable (ωT). Analytical solutions are derived using complex variables. The influence of the governing parameters on the primary velocity (u), secondary velocity (w), temperature (θ), primary and secondary flow discharges per unit depth in the channel (Qx, Qz), and frictional shear stresses due to primary and secondary flow (τx, τz), are studied graphically and using tables. Applications of the study arise in the simulation of the manufacture of electrically conducting bio-polymeric liquids and magneto-physiological flow devices.

scholarly journals Effects of Viscous Dissipation Parameter on Magneto-hydrodynamic Free Convective Flow through a Porous Media of Parallel Plates with a Non-uniform Heat Source for an Unsteady Case

2019 ◽  
pp. 1-18
Author(s):  
Francis Mburu ◽  
Joash Kerongo ◽  
Wesley Koech
Keyword(s):  
Viscous Dissipation ◽  
Convective Flow ◽  
Mhd Flow ◽  
Constant Density ◽  
Parallel Plates ◽  
Free Convective Flow ◽  
Electrically Conducting ◽  
Constant Thermal Conductivity ◽  
Fluid Boundary ◽  
Flow Through

The magnetic hydrodynamic free convective flow past an infinite stretching porous sheet at constant density for electrically conducting fluid with viscous dissipation was numerically studied. The study revolved around an unsteady two-dimensional free convective laminar flow through a porous medium with the interaction of magnetic area standard to the stream. The graphs represented the effects of material parameters on the temperature and velocity profiles across the fluid boundary layer. The solutions of partial differential equations obtained numerically using an implicit finite difference method for various values of (nu), numbers (0.5 to 0.7) at a constant thermal conductivity (kappa=0.1). The velocity and temperature of MHD flow increased with an increase in viscous dissipation and vice versa.

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