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1

Mathematical analysis of chemically reacting species and radiation effects on mhd free convective flow through a rotating porous medium

Sharma Pawan Kumar, Sharma Bhupendra Kumar, Kumar Anil

Acta Mechanica et Automatica

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2024

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Vol. 18, no. 2

193--203

EN

The present study deals with the effects of radiation and mass transfer on a laminar unsteady free convective flow of a viscous, incompressible, electrically conducting and chemically reacting fluid past a vertical surface in a rotating porous medium. It is assumed that the surface is rotating with angular velocity . The governing mathematical equations are developed and solved by adopting complex variable notations and the analytical expressions for velocity, temperature and concentration fields are obtained. The effects of various parameters on mean primary velocity, mean secondary velocity, mean temperature, mean concentration, transient primary velocity, transient secondary velocity, transient temperature and transient concentration have been discussed and shown graphically. Further, the consequences of different parameters on rate of heat transfer coefficient (Nusselt number), rate of mass transfer coefficient (Sherwood number) and drag coefficient (mean skin-friction) are analysed. It is observed that the mean and transient primary velocities increase with the radiation parameter E, while reverse phenomena are observed for the Schmidt number, Sc, and the chemical reaction parameter, . The results may be useful in studying oil or gas and water movement through an oil or gas field reservoir, underground water migration, and the filtration and water purification processes.

2

Numerical study of a transient MHD flow across an oscillating vertical plate with thermal radiation and viscous dissipation

Rajaraman R., Muthucumaraswamy R.

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 2

77--89

EN

The flow of an electrically conducting fluid across a vertically positioned oscillating semi-boundless plate with uniform mass diffusion and temperature is examined in this study in terms of the effects of thermal radiation and viscous dissipation. The dimensionless governing equations were solved using an effective and unconditionally stable implicit finite-difference approach known as the Crank-Nicolson method. Based on the numerical results, the impacts of various physical parameter values on concentration, temperature; velocity; Sherwood numbers, Nusselt numbers and skin-friction profiles are displayed graphically and their consequences thoroughly analyzed. We observed that when the magnetic field, radiation and phase angle parameters are increased, the velocity is reduced. This shows that plate oscillation, radiation and magnetic fields affect the flow pattern significantly.

3

The Hall effect on MHD 2-fluid unsteady heat transfer flow of plasma in a rotating system via a straight channel between conducting plates

Raju T. Linga, Rao B. Venkata

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 3

137--162

EN

Hall currents are used to investigate MHD unsteady two fluid flows and heat transport of plasma along a straight channel of conducting plates. In the two liquid zones, the velocity and temperature fields for the case of conducting side plates are obtained by solving the governing equations using a two-term series under the specified conditions. The distribution profiles are graphically resolved and examined. The distributions are thought to be dependent on the electron-to-total pressure ratio. The flow and heat transfer factors are also influenced by other parameters such as the Hartmann number, Hall parameter, rotation parameter, thermal conductivity and viscosity ratio.

4

MHD free convective heat and mass transfer flow from a vertical porous surface with variable thermal conductivity, variable mass diffusivity and thermal diffusion including viscous dissipation and chemical reaction

Phakirappa J., Priyanka S., Veena P. H., Pravin V. K.

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 3

127--136

EN

analysis is carried out to study chemically reactive, viscous dissipative effects of an incompressible and electrically conducting fluid with MHD free convection adjacent to a vertical surface with variable thermal conductivity (VTD) and variable mass diffusivity (VMD). An approximate numerical solution for the steady laminar boundary layer flow over a wall of the surface in the presence of species concentration and thermal mass diffusion has been studied. Using numerical techniques the governing boundary layer equations are solved to get the exact solution. Numerical calculations are carried out for different values of dimensionless parameters. The results are exhibited through various graphs and it is observed from the analysis of the results that the velocity field is appreciably influenced by the magnetic effect, porous effect, chemical reaction and buoyancy ratio between the species and thermal diffusion at the wall of the surface.

5

Effect of MHD on unsteady oscillatory Couette flow through porous media

Sharma Bhupendra K., Sharma Pawan Kumar, Cauhan Sudhir Kumar

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 1

188--202

EN

This paper describes the effects of a magnetic field on unsteady free convection oscillatory systems. When temperature and species concentration fluctuate with time around a non-zero constant, "Couette flow" across a porous medium occurs. The system of non-linear ODEs that governs the flow is solved analytically using the perturbation approach because the amplitude of fluctuations is very tiny. Mean flow and transient velocity, transient concentration, transient temperature, heat transfer, mean skin friction and phase and amplitude of skin friction. All have approximate solutions. The influence of different parameters on flow characteristics has been specified and discussed.

6

Chemical reaction and MHD flow for magnetic field effect on heat and mass transfer of fluid flow through a porous medium onto a moving vertical plate

Goud B. Shankar, Nandeppanavar Mahantesh M.

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 2

226--244

EN

This article discusses the effect of heat and mass transfer in a boundary layer flow in the presence of a magnetic field of an electrically conducting and viscous fluid as it passes through a porous medium containing a heat source and a chemical reaction. By employing similarity variables, the governing equations are changed into nonlinear ordinary differential equations(ODEs). To solve the obtained equations numerically the Keller box method is used. Numerical and graphical representations of the results of different parameter values governing the flow system are given. The non-dimensional distributions of velocity, heat, and concentration are depicted graphically, while the Nusselt number, Sherwood number, and skin friction are determined numerically.

7

Stokes flow in lid-driven cavity under inclined magnetic field

Gürbüz-Çaldag M., Çelik E.

Archives of Mechanics

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2022

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Vol. 74, nr 6

549--564

EN

Stokes flow in a lid-driven cavity under the effect of an inclined magnetic field is studied. The radial basis function (RBF) approximation is employed to the magnetohydrodynamic (MHD) equations which include Navier-Stokes equations of fluid dynamics and Maxwell’s equations of electromagnetics through Ohm’s law with the Stokes approximation. Numerical results are obtained for the moderate Hartmann number (0 ≤ M ≤ 80) and different angles of a magnetic field (0 ≤ α ≤ π). It is found that the increase in the Hartmann number causes the development of new vortices under the main flow due to the impact of a magnetic field. However, the type of the inclination angle (acute or obtuse) determines the location of the vortices.

8

Second law analysis of mhd forced convective nanoliquid flow through a two-dimensional channel

Miri Rached, Abbassi Mohamed A., Ferhi Mokhtar, Djebali Ridha

Acta Mechanica et Automatica

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2022

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Vol. 16, no. 4

417--431

EN

The present study deals with fluid flow, heat transfer and entropy generation in a two-dimensional channel filled with Cu–water nanoliquid and containing a hot block. The nanoliquid flow is driven along the channel by a constant velocity and a cold temperature at the inlet, and the partially heated horizontal walls. The aim of this work is to study the influence of the most important parameters such as nanoparticle volume fraction (0%≤ϕ≤4%), nanoparticle diameter (5 nm≤dp≤55 nm), Reynolds number (50≤Re≤200), Hartmann number (0≤Ha≤90), magnetic field inclination angle (0≤γ≤π) and Brownian motion on the hydrodynamic and thermal characteristics and entropy generation. We used the lattice Boltzmann method (LBM: SRT-BGK model) to solve the continuity, momentum and energy equations. The obtained results show that the maximum value of the average Nusselt number is found for case (3) when the hot block is placed between the two hot walls. The minimum value is calculated for case (2) when the hot block is placed between the two insulated walls. The increase in Reynolds and Hartmann numbers enhances the heat transfer and the total entropy generation. In addition, the nanoparticle diameter increase reduces the heat transfer and the irreversibility, the impact of the magnetic field inclination angle on the heat transfer and the total entropy generation is investigated, and the Brownian motion enhances the heat transfer and the total entropy generation.

9

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Ganga B., Charles S., Abdul Hakeem A. K., Nadeem S.

Journal of Applied Mathematics and Computational Mechanics

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2021

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Vol. 20, nr 1

25--36

EN

The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.

10

Unsteady MHD plane Couette-Poiseuille flow of fourthgrade fluid with thermal radiation, chemical reaction and suction effects

Joseph K. M., Ayankop-Andi E., Mohammed S. U.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 4

77--98

EN

This study investigates the unsteady MHD flow of a fourth-grade fluid in a horizontal parallel plates channel. The upper plate is oscillating and moving while the bottom plate is stationary. Solutions for momentum, energy and concentration equations are obtained by the He-Laplace scheme. This method was also used by Idowu and Sani [12] and there is agreement with our results. The effect of various flow parameters controlling the physical situation is discussed with the aid of graphs. Significant results from this study show that velocity and temperature fields increase with the increase in the thermal radiation parameter, while velocity and concentric fields decrease with an increase in the chemical reaction parameter. Furthermore, velocity, temperature and concentric fields decrease with an increase in the suction parameter. It is also interesting to note that when 4S0=, our results will be in complete agreement with Idowu and Sani [12] results. The results of this work are applicable to industrial processes such as polymer extrusion of dye, draining of plastic films etc.

11

Heat and mass transfer effect on an infinite vertical plate in the presence of Hall current and thermal radiation with variable temperature

Manjula L., Muthucumaraswamy R.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 3

131--140

EN

MHD and radiated heat flow on a rotating system of an electrically conducting fluid in the presence of Hall current under the influence of variable temperature is studied analytically. An exact solution of a non-dimensional form of coupled partial differential equations is obtained by the technique of Laplace transform. The effect of temperature, velocity and concentration is analyzed for various parameters like the Hall parameter [...], thermal radiation [...], rotation parameter [...], Hartmann number [...] and results are discussed in detail with the help of graphs. A mixed analysis of a rotating fluid with Hall current and thermal radiation plays a very essential role in the research area such as plasma physics, MHD generator, fluid drift sensor, cosmological and geophysical level, etc.

12

Flow features of thermophoretic MHD viscous fluid flow past a converging channel with heat source and chemical reaction

Kalita B. K., Choudhury R.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 3

72--83

EN

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.

13

Radiative MHD Walter’s liquid-B flow past a semi-infinite vertical plate in the presence of viscous dissipation with a heat source

Damala Chenna Kesavaiah, Bhumarapu Venkateswarlu, Makinde Oluwole Daniel

Engineering Transactions

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2021

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Vol. 69, iss. 4

373--401

EN

The free convective magnetohydrodynamics (MHD) flow of a non-Newtonian fluid due to a semi-infinite vertical plate under the influence of radiation and viscous dissipation is investigated. The system of partial differential equations is derived and solved for the solutions of velocity and temperature profiles along with the Nusselt number and skin friction by using the perturbation technique. The related important dimensionless parameters of Eckert, Grashof, and Prandtl numbers, magnetic field, radiation and heat source are discussed and shown in graphs. Also, the Nusselt number and skin friction at the plate are obtained and presented in the tabular forms. Finally, the corresponding result of Newtonian fluid is obtained by setting viscoelastic parameter k1 = 0. It is worth mentioning that the obtained results coincide with the previously published results.

14

Unsteady MHD natural convective boundary layer flow and heat transfer over a truncated cone in the presence of pressure work

Ajay C. K., Srinivasa A. H.

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 1

5--16

EN

The aim of the present paper is to analyse the effect of MHD on unsteady natural convection boundary layer flow and heat transfer over a truncated cone in the presence of pressure work. Suitable transformation is utilized to form a system of coupled non-linear partial differential equations for governing both the flow and heat transfer. These equations have been solved numerically by utilizing an implicit finite difference scheme along with quasilinearization method. Here, the computed numerical results are displayed graphically in terms of the local Nusselt number, skin friction, temperature distribution, and velocity distribution for various values of the magnetic and pressure work parameters along with the fixed Prandtl number

15

Influence of thermal diffusion on MHD radiating flow in presence of Cu-nanoparticles, Casson fluid and angle of inclination

Brahma-Chary S., Jayarami-Reddy K., Kashaiah K.

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 2

43--58

EN

In this study numerical solutions for magnetohydrodynamic transfer, thermal and mass instability, free convection flow through the plate before Casson fluid, heat dissipation, thermal radiation, heat sink, chemical reaction, tilt angle, and saturated porous medium were described. The effectiveness of this study is to analyze the effect of heat diffusion, Casson fluid, the angle of interest on the flow phenomenon of Cu-nanoparticles in the presence of thermal radiation, heat source/heat sink, destructive reaction, heat transfer and mass transfer in a simple way. The finite difference method was used to solve the governing equations which are the added partial differential equations. The effects of different material parameters on velocity, temperature and concentration profiles are explained using graphs and tables. The results are compared with previously published papers and a very good agreement is found. In the boundary layer region, fluid velocity decreases with the increasing values of magnetic field parameter, heat source/sink, Casson fluid, angle of inclination and thermal radiation parameter for Cu-nanoparticles. Also it is noticed that the solutal boundary layer thickness decreases with an increase in the chemical reaction parameter. It is because chemical molecular diffusivity reduces for higher values of Kr.

16

Effects of the porous boundary and inclined magnetic field on MHD flow in a rectangular duct

Chutia Muhim

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 4

33--44

EN

In this work, a steady two dimensional MHD flow of a viscous incompressible fluid through a rectangular duct under the action of an inclined magnetic field with a porous boundary has been investigated. The coupled partial differential equations are transformed into a system of algebraic equations using the finite difference method and are then solved simultaneously using the Gauss Seidal iteration method by programming in Matlab software. Numerical solutions for velocity, induced magnetic field and current density lines are obtained and analyzed for different values of dimensionless parameters namely suction/injection parameter (S), Hartmann number (M) and inclination angle (θ) and are presented graphically.

17

Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium

Imo-Mani-Singha H., Sengupta Sanjib

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 4

101--114

EN

In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.

18

Effect of convective heat and mass conditions in magnetohydrodynamic boundary layer flow with joule heating and thermal radiation

Sharma R. P., Tinker Seema, Gireesha B. J., Nagaraja B.

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 3

103--116

EN

A free convection viscous MHD flow over a semi-infinite vertical sheet with convective heat and mass conditions has been considered. The effects of thermal radiation, chemical reaction and Joule heating on flow are also accounted. The governing nonlinear partial differential equations have been transformed into a set of highly non-linear coupled ordinary differential equations (ODEs) using appropriate similarity transformations. Numerical solutions of transformed equations are obtained by employing the 5th order Runge-Kutta Fehlberg technique followed by the shooting technique. The influences of different flow parameters on the momentum, energy and mass field are discussed and shown graphically. Results reveal that temperature and concentration profiles enhance due to increasing heat and mass Biot number parameters.

19

Analysis of magnetohydrodynamic (MHD) nanofluid flow with heat and mass transfer over a porous stretching sheet

Odesola A. S., Abiala I. O., Akinpelu F. O., Fenuga O. J.

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 4

162--174

EN

This work investigates a three-dimensional Magnetohydrodynamic (MHD) nanofluid flow with heat and mass transfer over a porous stretching sheet. Firstly, partial differential equations are transformed into coupled non-linear ordinary differential equations through a similarity variables transformation and solved by Galerkin Finite Element Methods (FEM). The effects of thermal radiation, viscous dissipation and chemical reaction on the fluid flow are considered. The behaviour and properties of pertinent flow parameters on the velocity, temperature and concentration profiles are presented and discussed graphically. The effects of the friction coefficient parameter, Nusselt and Sherhood numbers are also shown and considered using tables. The work is in good agreement in comparison with the recent work in literature.

20

A numerical study of dissipative chemically reactive radiative MHD flow past a vertical cone with nonuniform mass flux

Sambath P., Sankar D. S., Viswanathan K. K.

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 1

159--176

EN

A computational model is presented to explore the properties of heat source, chemically reacting radiative, viscous dissipative MHD flow of an incompressible viscous fluid past an upright cone under inhomogeneous mass flux. A numerical study has been carried out to explore the mass flux features with the help of Crank-Nicolson finite difference scheme. This investigation reveals the influence of distinct significant parameters and the obtained outputs for the transient momentum, temperature and concentration distribution near the boundary layer is discussed and portrayed graphically for the active parameters such as the Schmidt number Sc, thermal radiation Rd, viscous dissipation parameter […], chemical reaction parameter […], MHD parameter M and heat generation parameter ]…]. The significant effect of parameters on shear stress, heat and mass transfer rates are also illustrated.