Thermo-diffusion impacts on the flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall

2021 ◽  
pp. 095440892110692
Author(s):  
Jitendra Kumar Singh ◽  
Gauri Shenker Seth
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Fluid Velocity ◽  
Surface Current ◽  
Induced Magnetic Field ◽  
Regular Perturbation ◽  
Surface Current Density ◽  
Magnetic Diffusion ◽  
Mass Fluxes ◽  
Flow Surface

The focus is in this article is to scrutinize the simultaneous significances of magnetic diffusion, thermo-diffusion and angular location on the hydromagnetic flow of an elastico-viscous fluid over an inclined heated plane with magnetized wall. The flow medium is considered to be uniformly permeable (Darcy-Brinkman porous medium) and the flow of the fluid is considerably affected due to the appearance of a strong magnetic field in the direction normal to the flow surface. The significances of Hall current, induced magnetic field and Coriolis force on flow nature is also included in the study. The leading non-dimensionalized equations are explored by regular perturbation analysis. Ultimately, the expressions for velocity field, induced magnetic field, temperature and concentration are obtained. We further derived the surface skin friction, surface current density, heat and mass fluxes. The computation of results is performed with the aid of Mathematica software and results are presented in graphical and tabular forms for distinct flow impacting parameters. Numerical simulation explores that mass diffusion factor brings growth in the fluid velocity, temperature and normal induced magnetic field while it reduces the main induced magnetic field. Magnetic diffusion develops the primary flow and primary induced magnetic field and lessens the normal flow and normal induced magnetic field. Inclination angle of the heated plane upgrades primary induced magnetic field while downgrading normal induced magnetic field.

Magnetohydrodynamic Mixed Convective Flow Due to a Vertical Plate With Induced Magnetic Field

2018 ◽  
Vol 10 (6) ◽  
Author(s):  
R. Nandkeolyar ◽  
M. Narayana ◽  
S. S. Motsa ◽  
P. Sibanda
Keyword(s):  
Magnetic Field ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fluid Velocity ◽  
Nonlinear Partial Differential Equations ◽  
Linearization Method ◽  
Fluid Temperature ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Partial Differential

The steady hydromagnetic flow of a viscous, incompressible, perfectly conducting, and heat absorbing fluid past a vertical flat plate under the influence of an aligned magnetic field is studied. The flow is subject to mixed convective heat transfer. The fluid is assumed to have a reasonably high magnetic Prandtl number which causes significant-induced magnetic field effects. Such fluid flows find application in many magnetohydrodynamic devices including MHD power-generation. The effects of viscous dissipation and heat absorption by the fluid are investigated. The governing nonlinear partial differential equations are converted into a set of nonsimilar partial differential equations which are then solved using a spectral quasi-linearization method (SQLM). The effects of the important parameters on the fluid velocity, induced magnetic field, fluid temperature and as well as on the coefficient of skin-friction and the Nusselt number are discussed qualitatively.

Consequence of induced magnetic field on peristaltic motion of a Carreau nanofluid in a tapered asymmetric channel

2017 ◽  
Vol 27 (9) ◽  
pp. 1986-2014 ◽  
Author(s):  
M. Kothandapani ◽  
V. Pushparaj
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Magnetic Force ◽  
Force Function ◽  
Asymmetric Channel ◽  
Mean Flow ◽  
Induced Magnetic Field ◽  
Regular Perturbation ◽  
Content Type ◽  
Carreau Nanofluid

Purpose This paper aims to investigate the consequence of the combined impacts of an induced magnetic field and thermal radiation on peristaltic transport of a Carreau nanofluid in a vertical tapered asymmetric channel. The model applied for the nanofluid comprises the effects of Brownian motion and thermophoresis. Design/methodology/approach The governing equations have been simplified under the widespread assumption of long-wavelength and low-Reynolds number approximations. The reduced coupled nonlinear equations of momentum and magnetic force function have also been solved analytically using the regular perturbation method. Findings The physical features of emerging parameters have been discussed by drawing the graphs of velocity, temperature, nanoparticle concentration profile, magnetic force function, current density, heat transfer coefficient and stream function. It has been realized that the magnetic force function is increased with the increase of Hartmann number, magnetic Reynolds number and mean flow rate. Originality/value It may be first paper in which the effect of induced magnetic field on peristaltic flow of non-Newtonian nanofluid in a tapered asymmetric channel has been studied.

Heat and mass transfer investigation of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface

2021 ◽  
pp. 095440892110349
Author(s):  
Muhammad N Khan ◽  
Sohail Nadeem ◽  
Nadeem Abbas ◽  
AM Zidan
Keyword(s):  
Magnetic Field ◽  
Fluid Velocity ◽  
Comparative Investigation ◽  
Heat Transfer Analysis ◽  
Stretching Surface ◽  
Induced Magnetic Field ◽  
Coupled Equations ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching ◽  
The Impact

The flow of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface is considered in this analysis. The thermal slip and concentration slip boundary conditions are considered to analyze the flow at the exponentially stretching surface in the current analysis. Furthermore, a heat transfer analysis is presented with the influence of heat generation/absorption and a variable thermal conductivity effect. Appropriate similarity variables are used to transfer the flow model into the coupled ordinary differential equations. These coupled equations are computed numerically by using the Boundary value problem (BVP) midrich technique. The impact of emerging parameters is examined graphically. It is found that the fluid velocity augments for the several values of relaxation parameters, while it shows the opposite trend for the retardation parameter. Further, it is found that the transfer rate of heat and mass boosted by increasing the values of relaxation and retardation parameters. A comparative investigation of the present article with the prevailing literature shows a remarkable agreement.

scholarly journals Gravitation modulation impact on MHD free convection flow of micropolar fluid

2020 ◽  
Vol 17 (2) ◽  
pp. 199-218
Author(s):  
Sanjib Sengupta ◽  
Reshmi Deb
Keyword(s):  
Magnetic Field ◽  
Skin Friction ◽  
Micropolar Fluid ◽  
Perturbation Technique ◽  
Rotational Velocity ◽  
Fluid Velocity ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Induced Magnetic Field ◽  
Modulation Parameter

In this paper, a theoretical study is carried out on unsteady three dimensional, laminar, free convective flow of micropolar fluid with Hall effect, Joule heating and heat sink under gravitation modulation. A uniform transverse magnetic field is applied normal to the plate along the fluid region. The magnetic Reynolds number is considered to be small due to incomparability of applied and induced magnetic field, as such the influence of induced magnetic field can be neglected. The multi parameter perturbation technique is used to solve the governed dimensionless equations. The fluid velocity profile, temperature profile and the concentration profiles are discussed with the aid of graphs and tables. The coefficient of skin friction and couple stresses are numerically computed in addition to Nusselt number and Sherwood number. The result reveals that the linear velocity increases due to escalation in gravitation modulation parameter values but for intensification in values of gravitation modulation parameter, a reverse effect is observed for the rotational velocity. A comparative analysis shows that the skin friction coefficient is less in micropolar fluid than the corresponding Newtonian fluids.

scholarly journals Induced magnetic field and viscous dissipation on flows of two immiscible fluids in a rectangular channel

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Nehad Ali Shah ◽  
Hussam Alrabaiah ◽  
Dumitru Vieru ◽  
Se-Jin Yook
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Rectangular Channel ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Induced Magnetic Field ◽  
Transform Method ◽  
Approximate Analytical Solutions ◽  
The Laplace Transform

AbstractThe unsteady, magneto-hydrodynamic generalized Couette flows of two immiscible fluids in a rectangular channel with isothermal walls under the influence of an inclined magnetic field and an axial electric field have been investigated. Both fluids are considered electrically conducting and the solid boundaries are electrically insulated. Approximate analytical solutions for the velocity, induced magnetic, and temperature fields have been determined using the Laplace transform method along with the numerical Stehfest's algorithm for the inversion of the Laplace transforms. Also, for the nonlinear differential equation of energy, a numerical scheme based on the finite differences has been developed. A particular case has been numerically and graphically studied to show the evolution of the fluid velocity, induced magnetic field, and viscous dissipation in both flow regions.

Effects of Hall Current and Magnetic Field Inclination on Hydromagnetic Natural Convection Flow in a Micro-Channel With Asymmetric Thermal Boundary Condition

2019 ◽  
Vol 12 (3) ◽  
Author(s):  
Basant K. Jha ◽  
Peter B. Malgwi
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Hall Current ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Micro Channel ◽  
Induced Magnetic Field ◽  
Natural Convection Flow ◽  
The Impact ◽  
Field Inclination

AbstractThis study examines the impact of induced magnetic field and Hall current on steady fully developed hydromagnetic natural convection flow in a micro-channel under the action of an inclined magnetic field. The mathematical model responsible for the present physical situation is presented in a dimensionless form under relevant boundary conditions. The governing coupled equations are solved exactly. A parametric study of some physical parameters is conducted and a representative set of numerical results for the velocity field, the induced magnetic field, induced current density, volume flow rate, and skin friction on the micro-channel surfaces are illustrated graphically. It is observed that magnetic field inclination plays an important role in flow formation inside the micro-channel. Numerical computation reveals that the increase in inclination angle reduces the hydromagnetic drag leading to enhancement in primary fluid velocity, while the impact is just converse on the secondary fluid velocity. Furthermore, the increase in Hall current parameter increases the magnitude of the fluid velocity in both primary and secondary flow directions.

scholarly journals Influence of magnetic field on double convection problem of fractional viscous fluid over an exponentially moving vertical plate: New trends of Caputo time-fractional derivative model

2019 ◽  
Vol 11 (7) ◽  
pp. 168781401986038 ◽  
Author(s):  
Nehad Ali Shah ◽  
Ilyas Khan ◽  
Maryam Aleem ◽  
MA Imran
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Viscous Fluid ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Fluid Model ◽  
Fluid Velocity ◽  
Graphical Analysis ◽  
Viscous Fluid Model ◽  
And Function

In this article, the influence of a magnetic field is studied on a generalized viscous fluid model with double convection, due to simultaneous effects of heat and mass transfer induced by temperature and concentration gradients. The fluid is considered over an exponentially accelerated vertical plate with time-dependent boundary conditions. Additional effects of heat generation and chemical reaction are also considered. A generalized viscous fluid model consists of three partial differential equations of momentum, heat, and mass transfer with corresponding initial and boundary condition. The idea of non-integer order Caputo time-fractional derivatives is used, and exact solutions for velocity, temperature, and concentration in terms of Wright function and function of Lorenzo–Hartley are developed for ordinary cases. Graphical analysis of flow and fractional parameters is made by using computational software MathCad, and discussed. The results obtained are also in good agreement with the published results from the literature. As a result, it is found that temperature and fluid velocity can be enhanced for smaller values of fractional parameters.

Magnetic field and currents in HTSC films

Open Physics ◽  
2003 ◽  
Vol 1 (3) ◽  
Author(s):  
K. Gaikovich ◽  
Yu. Nozdrin ◽  
A. Zhilin
Keyword(s):  
Magnetic Field ◽  
Laser Pulse ◽  
Film Surface ◽  
Surface Current ◽  
Field Measurements ◽  
Surface Current Density ◽  
Type Ii Superconductor ◽  
Superconductor Films ◽  
The Magnetic Field ◽  
Film Form

AbstractMagnetic field measurements above type-II superconductor films in a remanent magnetization state have been used to determine two dimensional surface current distributions. Using the Biot-Savart law for the surface current density, integral equations (of 2-D convolution type) for two components of current have been obtained. These equations have been solved by employing Tikhonov's method of generalized discrepancy, and the surface current pattern in superconductors as well as the magnetic field distribution on the film surface have been obtained. Current peculiarities related to various kinds of inhomogeneities, specific character of the film form, and a laser pulse effect have been observed. In particular, it was discovered that a laser pulse can signficantly redistribute the film currents without changing the total number of current vortices in the film.

Viscous interface instability supporting free-surface currents in a hydromagnetic rotating fluid column

2001 ◽  
Vol 65 (1) ◽  
pp. 1-28 ◽  
Author(s):  
YUSRY O. EL-DIB
Keyword(s):  
Magnetic Field ◽  
Free Surface ◽  
Angular Velocity ◽  
Current Density ◽  
Surface Current ◽  
Surface Currents ◽  
Rotating Fluid ◽  
Field Frequency ◽  
Surface Current Density ◽  
Azimuthal Magnetic Field

The stabilization of a viscous interface stressed by an oscillating magnetic field is investigated. Account is taken of the influence of free-surface currents on the effective solidly rotating fluid column. Only azimuthal modes are considered in the linear perturbation. The dispersion relation with or without free-surface currents is obtained in the form of a linear Mathieu equation with complex coefficients. It is found that there is a nonlinear relation between the surface current density and both the stratified viscosity and the stratified azimuthal magnetic field. The surface currents disappear on the interface of the fluid column when the stratified magnetic field has the value of unity. At this value, a coupled parametric resonance occurs in the absence of angular velocity. The magnetic field plays a stabilizing role. This role increases with increasing surface currents. The angular velocity plays a destabilizing role, while the field frequency plays a stabilizing role and acts against the angular velocity. The stratified viscosity plays a damping role in the presence of the surface current density, while, in the absence of a surface current, it plays two opposite roles corresponding to the presence or absence of the field frequency. A set of graphs are used to illustrate the relation between the presence of free-surface currents and both the viscosity and the azimuthal magnetic field.

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