scholarly journals Dufour and Soret Effect on Viscous Fluid Flow between Squeezing Plates under the Influence of Variable Magnetic Field

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2404
Author(s):  
Muhammad Kamran Alam ◽  
Khadija Bibi ◽  
Aamir Khan ◽  
Samad Noeiaghdam
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Direct Effect ◽  
Soret Effect ◽  
Reynold Number ◽  
Variable Magnetic Field ◽  
Squeeze Flow ◽  
Fluid Temperature

The aim of this article is to investigate the effect of mass and heat transfer on unsteady squeeze flow of viscous fluid under the influence of variable magnetic field. The flow is observed in a rotating channel. The unsteady equations of mass and momentum conservation are coupled with the variable magnetic field and energy equations. By using some appropriate similarity transformations, the partial differential equations obtained are then converted into a system of ordinary differential equations and are solved by Homotopy Analysis Method (HAM). The influence of the natural parameters are investigated for the velocity field components, magnetic field components, heat and mass transfer. A direct effect of the squeeze Reynold number is observed on both concentration and temperature. Moreover, increasing the magnetic Reynold number shows an increase in the fluid temperature, but in the case of concentration, an inverse relation is observed. Furthermore, a decreasing effect of the Dufour number is observed on both concentration and temperature distribution. Besides, in case of the Soret number, a direct effect is observed on concentration, but an inverse effect can be seen on temperature distribution. Different effects are shown through graphs in this study and an error analysis is also presented through tables and graphs.

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.

scholarly journals Magnetic field dependent viscous fluid-flow between squeezing plates with homogeneous and heterogeneous reactions

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 423-431
Author(s):  
Wajid Jan ◽  
Muhammad Farooq ◽  
Jamel Baili ◽  
Rehan Ali Shah ◽  
Aamir Khan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Tangential Velocity ◽  
Magnetic Reynolds Number ◽  
Heterogeneous Reactions ◽  
Navier Stokes ◽  
Fluid Temperature ◽  
Field Equations ◽  
Homogeneous And Heterogeneous Reactions ◽  
Field Dependent

The impacts of magnetic field dependent viscous fluid is explored between squeezing plates in the presence of homogeneous and heterogeneous reactions. The unsteady constitutive equations of heat and mass transfers, modified Navier-Stokes, magnetic field and homogeneous and heterogeneous reactions are coupled as an system of ODE. The appropriate solutions are established for the vertical and axial induced magnetic field equations for the transformed and momentum as well as for the MHD pressure and torque exerted on the upper plate, and are in details. In the case of a smooth plate, the self-similar equation with acceptable starting assumptions and auxiliary parameters is solved by utilising a homotopy analytics method, to generate an algorithm with fast and guaranteed convergence. By comparing homotopy analytics method solutions with BVP4c numerical solver packaging, the validity and correctness of the homotopy analytics method findings are demonstrated. Magnetic Reynolds number have been shown to cause to decrease the distribution of magnetic field, fluid temperature, axial and tangential velocity. The magnetic field also has vertical and axial components with increasing viscosity. The applications of the investigation include car magneto-rheological shock absorbers, modern aircraft landing gear systems, procedures for heating or cooling, biological sensor systems, and bio-prothesis, etc.

The impact of impinging TiO2 nanoparticles in Prandtl nanofluid along with endoscopic and variable magnetic field effects on peristaltic blood flow

2018 ◽  
Vol 14 (3) ◽  
pp. 530-548 ◽  
Author(s):  
Sara I. Abdelsalam ◽  
Muhammad Mubashir Bhatti
Keyword(s):  
Magnetic Field ◽  
Blood Flow ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Temperature Profile ◽  
Variable Magnetic Field ◽  
Partial Differential ◽  
Content Type ◽  
Homotopy Perturbation ◽  
Linear Partial Differential Equations

Purpose The purpose of this paper is to study the variable magnetic field and endoscope effects on peristaltic blood flow of nanofluid containing TiO2 nanoparticles (NPs) through a porous annulus. The Prandtl fluid model is taken into account for the present flow. The mathematical modelling comprises the temperature, continuity, NP concentration, and equations of motion which are further simplified by taking a long peristaltic wave and creeping flow regime. Design/methodology/approach After using the long wavelength approximation, the obtained highly non-linear partial differential equations are solved using the homotopy perturbation scheme. The inclusion of the pertinent parameters is discussed mathematically and graphically for the pressure rise, friction forces, temperature profile, and concentration profile. The trapping phenomenon is also investigated with the help of contours. Findings Results show that the maximum velocity distribution exists near the centre of the annulus, whereas the average time flow boosts the velocity profile. It has also been shown that flow can pass readily without enormous pressure gradient imposed on the endoscope tube unlike the case of the slim section of the problem. Practical implications The nanofluids containing titanium NPs are increasingly utilised since such type of NPs is used by several manufacturers in sunscreen blockers and different types of endoscopy. In endoscopy, the variable magnetic field is used at the tip in order to detect or treat diseases. The NPs are used since they acquire specific thermal properties as compared with base fluids. The present study provides qualitative results showing the effect of inner tube of annulus on the fluid flow, the effect of variable magnetic field, and the change in the temperature profile on the flow field. Originality/value A new model is introduced that shows the utmost pressure that works against the positive peristaltic pump. It studies the blood flow that results in extremely non-linear partial differential equations that are solved by the homotopy perturbation method. The titanium NPs are being used in blocking the rays that penetrate the epidermis causing skin burns and short ultraviolet ageing rays that cause visible wrinkles, and thus are used in the manufacturing of sunscreens that are partially absorbed through the skin.

scholarly journals Flow Features of Thermophoretic MHD Viscous Fluid Flow Past a Converging Channel with Heat Source and Chemical Reaction

2021 ◽  
Vol 26 (3) ◽  
pp. 72-83
Author(s):  
B.K. Kalita ◽  
R. Choudhury
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Heat Source ◽  
Viscous Fluid ◽  
Chemical Reaction ◽  
Metal Flow ◽  
Convergent Channel ◽  
Electrically Conducting ◽  
Wide Range ◽  
Converging Channel

Abstract A boundary layer flow of an electrically conducting viscous fluid past a converging channel in the presence of thermophoresis, heat source, chemical reaction, viscous dissipation and simultaneous heat and mass transfer characteristics is studied in the paper. An external magnetic field of uniform strength is applied transversely to the channel. The similarity solution has been used to transform the partial differential equations that represent the problem into a boundary value problem of coupled ordinary differential equations, which in turn are solved numerically using MATLAB’s built in solver bvp4c. Numerical computations are carried out to solve the problem and graphical illustrations are made to get the physical insight of the same. The convergent channel flow problem of an incompressible electrically conducting viscous fluid in the presence of a magnetic field has a wide range of applicability in different areas of engineering, specially in industrial metal casting and control of molten metal flow.

scholarly journals Steady MHD boundary free convective heat and mass transfer flow over an inclined porous plate with variable suction and Soret effect in presence of hall current

2015 ◽  
Vol 49 (3) ◽  
pp. 155-164 ◽  
Author(s):  
MS Alam ◽  
M Ali ◽  
MA Alim ◽  
A Saha
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Differential Equations ◽  
Magnetic Parameter ◽  
Soret Effect ◽  
Porous Plate ◽  
Suction Parameter ◽  
Grashof Number ◽  
Hall Parameter ◽  
Permeability Parameter

In this paper an attempt is made to study the Hall effects on the steady MHD free convective flow of an incompressible fluid, heat and mass transfer over an inclined porous plate with variable suction and Soret effect. The flow is considered under the influence of a uniform magnetic field. The magnetic field is applied normally to the flow. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformation and stretching variable. The governing momentum boundary layer, thermal boundary layer and concentration boundary layer equations with the boundary conditions are transformed into a system of first order ordinary differential equations which are then solved numerically by using Runge-Kutta fourth-fifth order method along with shooting iteration technique. The effects of the flow parameters on the primary and secondary velocities, temperature and species concentration are computed, discussed and have been graphically represented in figures for various value of different parameters.The results presented graphically illustrate that primary velocity field decrease due to increasing of magnetic parameter, permeability parameter, Grashof number, Dufour number and suction parameter and reverse trend arises for the increasing values of Hall parameter and modified Grashof number. The secondary velocity increase for increasing values of magnetic parameter, Hall parameter and permeability parameter and reverse trend arise for Grashof number, modified Grashof number and Suction parameter. The temperature field increases for the increasing values of magnetic parameter, Suction parameter, Soret number,Grashof number and modified Grashof number, Prandtl number whereas there is no effects of permeability parameter on temperature profile. Again, concentration profile decreases for increasing the values of magnetic parameter, Grashof number, modified Grashof number, and Schmidt number and the effect of the remaining entering parameter, the concentration increases up to certain interval of eta and then decreased. Alsothe numerical solutions for the skin friction [f ”(0)], secondary skin friction [g0”(0)] and local Sherwood number [-?’(0)] have been shown in Table I. DOI: http://dx.doi.org/10.3329/bjsir.v49i3.22129 Bangladesh J. Sci. Ind. Res. 49(3), 155-164, 2014

scholarly journals MHD Mixed Convection Nanofluid Flow over Convectively Heated Nonlinear due to an Extending Surface with Soret Effect

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Jamel Bouslimi ◽  
M. A. Abdelhafez ◽  
A. M. Abd-Alla ◽  
S. M. Abo-Dahab ◽  
K. H. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Mixed Convection ◽  
Physical Meaning ◽  
Soret Effect ◽  
Concentration Profiles ◽  
Nanofluid Flow ◽  
Thermal Buoyancy ◽  
Buoyancy Parameter ◽  
Fifth Order

The aim of this paper is to investigate the flow of MHD mixed convection nanofluid flow under nonlinear heated due to an extending surface. The transfer of heat in nanofluid subject to a magnetic field and boundary conditions of convective is studied to obtain the physical meaning of the convection phenomenon. The governing partial differential equations (PDEs) of the boundary layer are reduced to ordinary differential equations (ODEs) considering a technique of the transformation of similarity. The transformed equations are solved numerically considering the technique of an efficient numerical shooting applying the Runge–Kutta technique scheme from the fourth-fifth order. The results corresponding to the dimensionless speed, temperature, concentration profiles, and the Nusselt number reduced, and the Sherwood numbers are presented by figures to display the physical meaning of the phenomena. A comparison has been made between the obtained results with the previous results obtained by others and agrees with them if the new parameters vanish. The results obtained indicate the impacts of the nondimensional governing parameters, namely, magnetic field parameter M, Soret number Sr, heat source λ, thermal buoyancy parameter λ T , and solutal buoyancy parameter λ C on the flow, temperature, and concentration profiles being discussed and presented graphically.

Entropy Generation Analysis of Radiated Magnetohydrodynamic Flow of Carbon Nanotubes Nanofluids with Variable Conductivity and Diffusivity Subjected to Chemical Reaction

2021 ◽  
Vol 10 (4) ◽  
pp. 491-505
Author(s):  
Gopinath Mandal ◽  
Dulal Pal
Keyword(s):  
Magnetic Field ◽  
Activation Energy ◽  
Carbon Nanotubes ◽  
Mass Transfer ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Entropy Generation ◽  
Concentration Profile ◽  
Fluid Temperature

The purpose of this article is to analyze the entropy generation and heat and mass transfer of carbon nano-tubes (CNTs) nanofluid by considering the applied magnetic field under the influence of thermal radiation, variable thermal conductivity, variable mass diffusivity, and binary chemical reaction with activation energy over a linearly stretching cylinder. Convective boundary conditions on heat and mass transfer are considered. An isothermal model of homogeneous-heterogeneous reactions is used to regulate the solute concentration profile. It is assumed that the water-based nanofluid is composed of single and multi-walled carbon nanotubes. Employing a suitable set of similarity transformations, the system of partial differential equations is transformed into the system of nonlinear ordinary differential equations before being solved numerically. Through the implementation of the second law of thermodynamics, the total entropy generation is calculated. In addition, entropy generation for fluid friction, mass transfer, and heat transfer is discussed. This study is specially investigated for the impact of the chemical reaction, and activation energy with entropy generation subject to distinct flow parameters. It is found that the slip parameters greatly influence the flow characteristics. Fluid temperature is elevated with higher radiation parameters and thermal Biot number. Entropy and Bejan number are found to be an increasing function of solid volume fraction, magnetic field, and curvature parameters. Binary chemical reaction and activation energy on concentration profile have opposite effects.

Cattaneo–Christov heat flux effect on MHD peristaltic transport of Bingham Al2O3 nanofluid through a non-Darcy porous medium

2021 ◽  
pp. 1-26
Author(s):  
Nabil T.M. El-Dabe ◽  
Mohamed Y. Abou-Zeid ◽  
Mahmoud E. Oauf ◽  
Doaa R. Mostapha ◽  
Yasmeen M. Mohamed
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Relaxation Time ◽  
Axial Velocity ◽  
Soret Effect ◽  
Thermal Relaxation ◽  
Peristaltic Transport ◽  
Fluid Temperature ◽  
Mass Fluxes ◽  
Nanoparticles Concentration

The present investigation analyzes the influence of Cattaneo–Christov heat and mass fluxes on peristaltic transport of an incompressible flow. The fluid is obeying Bingham alumina nanofluid. The fluid flows between two co-axial vertical tubes. The system is expressed by a varying radially magnetic field with respect to the space. Soret effect and non-Darcy porous medium are taken into account. The governing system of equations is tackled by utilizing the approximations of long wavelength with low Reynolds number and with the help of homotopy perturbation method (HPM). It is noticed that the axial velocity magnifies with an increase in the value of Bingham parameter. Meanwhile, the value of the axial velocity reduces with the elevation in the value of the magnetic field parameter. On the other hand, the elevation in the value of thermal relaxation time leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of mass relaxation time parameter makes an enhancement in the value of nanoparticles concentration. It is noticed also that the size of the trapped bolus enhances with the increment in the value of Bingham parameter. The current study has many accomplishments in several scientific areas like medical industry, medicine, and others. Therefore, it represents the depiction of the gastric juice motion in the small intestine when an endoscope is inserted through it.

scholarly journals Effect of magnetic field and heat source on Upper-convected-maxwell fluid in a porous channel

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 917-928 ◽  
Author(s):  
Zeeshan Khan ◽  
Haroon Ur Rasheed ◽  
Tawfeeq Abdullah Alkanhal ◽  
Murad Ullah ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Ordinary Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Maxwell Fluid ◽  
Deborah Number ◽  
Physical Parameters ◽  
Fluid Temperature

Abstract The effect of magnetic field on the flow of the UCMF (Upper-Convected-Maxwell Fluid) with the property of a heat source/sink immersed in a porous medium is explored. A shrinking phenomenon along with the permeability of the wall are considered. The governing equations for the motion and transfer of heat of the UC MF along with boundary conditions are converted into a set of coupled nonlinear mathematical equations. Appropriate similarity transformations are used to convert the set of nonlinear partial differential equations into nonlinear ordinary differential equations. The modeled ordinary differential equations have been solved by the Homotopy Analysis Method (HAM). The convergence of the series solution is established. For the sake of comparison, numerical (ND-Solve method) solutions are also obtained. Special attention is given to how the non-dimensional physical parameters of interest affect the flow of the UCMF. It is observed that with the increasing Deborah number the velocity decreases and the temperature inside the fluid increases. The results show that the velocity and temperature distribution increases with a porous medium. It is also observed that the magnetic parameter has a decelerating effect on velocity while the temperature profiles increases in the entire domain. Due to the increase in Prandtl number the temperature profile increases. It is also observed that the heat source enhance the thermal conductivity and increases the fluid temperature while the heat sink provides a decrease in the fluid temperature.

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