Infinite Vertical Plate Research Articles

Soret effect on an unsteady MHD free convective flow past an infinite vertical plate with constant suction

The present study aims to numerically investigate the impact of flow parameters on an unsteady MHD free convective flow past an infinite vertical plate with constant suction. Specifically, the study considers the Thermo diffusion (Soret effect) on a moving infinite vertical plate with variable temperature and mass diffusion. the thermal diffusion, isthe tendency of a convection-free mixture to separate under a temperature gradient.Given the significance of suction in fields such as aerodynamics and space science, this study is motivated by the need to investigate the problem of combined heat and mass transfer of an unsteady MHD flow past an infinite plate with suction. The finite element method is used to solve the dimensionless governing equations of the problem, and numerical solutions for velocity, temperature, and concentration are obtained for various parameters including Grashoff number, mass Grashoff number, Prandtl number, Schmidt number, and Soret number. The results are presented in graphical form to observe the effect of the parameters on the problem under investigation, and the stability and convergence of the finite element method is established.

NATURAL CONVECTIVE MHD MASS TRANSFER FLOW PAST AN INFINITE VERTICAL POROUS PLATE EMBEDDED IN A POROUS MEDIUM WITH THERMAL DIFFUSION AND CHEMICAL REACTION

The intent of this current exploration is to examine the natural convective magnetohydrodynamics (MHD) mass transfer flow past an infinite vertical porous plate implanted in a porous medium with thermal diffusion and chemical reaction. An analytical solution for momentum, energy, and concentration equations is achieved by implementing the perturbation method. A uniform magnetic field is installed orthogonally with the plate and the fluid undergoes a normal suction velocity with the consideration that heat flux at the plate is constant. In contemplation of recording the influence of different nondimensional parameters and deliberating the flow characteristics, the computational aftermath for fluid velocity, temperature, and species concentration is portrayed graphically. Investigations divulge the fact that the increase in thermal diffusivity causes hefty falls in the temperature field and improves the concentration of the fluid. Again it is also noted that the fluid velocity and species concentration dwindle as a result of a high rate of consumption of species. The solutions obtained in this study are attained asymptotically.

Slip Condition Effects on Unsteady MHD Fluid Flow with Radiative Heatflux over a Porous Medium

The objective of this paper is to study unsteady magneto hydrodynamic (MHD) free flow of viscoelastic fluid (Walter’s B) past an infinite vertical plate through porous medium. The temperature is assumed to be oscillating with time. The solution obtained shows different profiles of effects of slip conditions on primary and secondary velocity. Also, the effects of various parameters on temperature, concentration, primary and secondary velocity profiles were presented graphically. The result indicated the secondary velocity is enhanced with increase in slip parameter. Primary velocity demonstrated opposite trend.

Caputo–Fabrizio fractional model of MHD second grade fluid with Newtonian heating and heat generation

In this research article the heat transfer of generalized second grade fluid is investigated with heat generation. The fluid flow is analyzed under the effects of Magneto hydrodynamics over an infinite vertical flat plate. The Newtonian heating phenomenon has been adopted at the boundary. For this purpose the problem is divided into two compartments i.e. momentum equation and energy equations. Some specific dimensionless parameters are defined to convert the model equations into dimensionless system of equations. The solutions for dimensionless energy and momentum equations are obtained by using the Laplace transform technique. From obtained results by neglecting magneto hydrodynamic effects and heat source some special case are achieved which are already published in literature. The case for which the fractional parameter approaches to the classical order is also discussed and it has been observed that it is convergent. Finally, the influences of different physical parameters are sketched graphically. It has been observed that for increasing values of Prandtl number the velocity and temperature decreases, for increasing values of Grashof number the velocity of the fluid increases. Also it has been investigated that for increasing values of fractional parameter the velocity and temperature of the fluid increases.

Diffusion‐thermo effect on convective MHD flow of Cu‐water nanofluid including ramped wall temperature, velocity and concentration

An unsteady convective MHD flow of water based Cu-nanofluid past an impulsively started infinite vertical plate embedded in porous medium including ramped velocity, temperature and concentration in the existence of diffusion-thermo effect, radiation and chemical reaction has been investigated. The non-dimensional domain equations are computed by adopting Laplace transform technique. The impact of various pertinent parameters that are associated with the fluid velocity, temperature, concentration and moreover on skin friction coefficient, Nusselt number and Sherwood number has been represented graphically. It is figured out that, increase of Dufour effect causes to rise in both the momentum and temperature boundary layer. Further, it is ascertained that increase in the volume fraction of nanoparticles causes fall of velocity whereas it increases temperature together with the rate of heat transfer at the walls.

Comprehensive analysis of thermal radiation impact on an unsteady MHD nanofluid flow across an infinite vertical flat plate with ramped temperature with heat consumption

The present article deals with the influence of a magnetic field on unsteady MHD water-based nanofluid flow across an infinite flat plate with a ramped temperature gradient and radiative heat transfer in a porous material is investigated. Two forms of water-based nanofluids comprising silver, and titanium dioxide are considered. The finite element technique is used to solve the governing partial differential equations, and the approximate results are provided. The temperature, velocities, rate of heat transfer, and shear stresses of nano-fluids at the plate are depicted graphically for a range of relevant parameter values. It has been observed that the velocity and temperature profiles upsurge with rising values of the radiation factor, whilst the velocity diminishes for larger values of the Magnetic parameter. The comparison research that was performed reveals a remarkable degree of concordance with the earlier investigation.

Unsteady Radiative Flow of Particular Nanoliquids Along an Infinite Vertical Flat Plate in the Proximity of Convective Boundary Condition

In this article, the heat transfer and flow pattern characteristics are restudied in the proximity of convective boundary condition for three kinds of nanoliquids, namely copper oxide-water nanoliquid (CuO–H2O), silverwater nanoliquid (Ag–H2O), and titanium dioxide-water nanoliquid (TiO2–H2O). The thermal radiation impact is assumed into account. The partial differential equations are shifted into ordinary differential equations by applying an acceptable transformation and then exact solutions are acquired by promoting the Laplace transform technique. Solid volume fraction is fluctuated as 5%, 10%, 15%, and 20%. The variations of nanoliquid motion and energy transmit are displayed graphically as well as the numerical values of friction factor and rate of heat transfer at the plate are displayed in tabular pattern. In particular, the least shear stress occurs for silverwater nanoliquid and the greatest shear stress occurs for titanium dioxide-water nanoliquid as well as the least heat transfer coefficient occurs for titanium dioxide-water nanoliquid and the greatest heat transfer coefficient occurs for copper oxide-water nanoliquid. This report can be further utilized to authenticate the effectiveness of acquired mathematical results for another sophisticated nanoliquid stream problems.

An implicit Keller box approach for solution of MHD three-dimensional flow through a porous medium

The present study investigates the Soret and Dufour effect on free-convection flow of a viscous incompressible fluid through a porous medium bounded by an infinite vertical porous plate with chemical reaction and viscous dissipation is investigated with aid of Implicit Keller box and regular perturbation methods. The flow is assumed in the presence of transverse magnetic field. Characteristics of Velocity, Temperature and Concentration are obtained and graphical interpretation is made. The observation of these results reflects that velocity and thermal boundary layer thickness decrease with the increase of radiation parameter. Graphical interpretations establish a good agreement in a realistic sense.

Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative

Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important natural phenomenon that also occurs in human-made engineering processes under various physical and mechanical situations. In the current study, the free convection magnetohydrodynamic flow of Jeffrey fluid with heat and mass transfer over an infinite vertical plate is examined. Mathematical modeling is performed using Fourier’s and Fick’s laws, and heat and momentum equations have been obtained. The non-dimensional partial differential equations for energy, mass, and velocity fields are determined using the Laplace transform method in a symmetric manner. Later on, the Laplace transform method is employed to evaluate the results for the temperature, concentration, and velocity fields with the support of Mathcad software. The governing equations, as well as the initial and boundary conditions, satisfy these results. The impacts of fractional and physical characteristics have been shown by graphical illustrations. The obtained fractionalized results are generalized by a more decaying nature. By taking the fractional parameter β,γ→1, the classical results with the ordinary derivatives are also recovered, making this a good direction for symmetry analysis. The present work also has applications with engineering relevance, such as heating and cooling processes in nuclear reactors, the petrochemical sector, and hydraulic apparatus where the heat transfers through a flat surface. Moreover, the magnetized fluid is also applicable for controlling flow velocity fluctuations.

Heat and mass transfer on unsteady MHD Casson fluid flow past an infinite vertical porous plate with chemical reaction

The most excellent applications on the practice and status of research in environmental science and technology, both natural and human made, with respect to the concepts of chemical reaction are heat absorption and Newtonian heating. For this purpose, in this paper, the numerical investigation of Newtonian heating effect on unsteady magnetohydrodynamic free convective flow of radiating and chemically reacting Casson fluid past an infinite oscillating vertical porous plate embedded in a porous medium is conducted by considering the effects of heat sink and viscous dissipation. The fluid motion is persuaded due to the periodic oscillations of the plate along its length. This phenomenon is represented as non-linear partial differential equations with initial and boundary conditions. By introducing suitable non-dimensional variable and parameters, the leading equation with initial and boundary conditions are converted into dimensionless form, which are then solved numerically using a finite difference method. The effects of several relevant parameters on the velocity, temperature and concentration are displayed graphically whilst the effects of these parameters on the skin friction, Nusselt and Sherwood numbers are exhibited in tabular format and then discussed in detail.

Chemical reaction impacts the unsteady MHD convective flow of an incompressible viscous fluid past an infinite vertical porous plate

AbstractWe studied the radiation magnetohydrodynamic flow of an incompressible viscous electrically conducting fluid past an exponentially accelerated perpendicular surface under the influence of slip velocity in the revolving structure. A steady homogeneous magnetic strength is applied under the assumption of low magnetic Reynolds quantity. The ramped heat and time‐altering concentration near the plate are taken into consideration. First‐order consistent chemical reactions and thermal absorption were also studied. The Laplace transformation technique is used for the non‐dimensional governing equations to get the closed‐form solutions. Supporting these results, the phases for nondimensional shear stress, rate of thermal as well as accumulation transport are also found. Graphical profiles are represented to examine the impact of physical parameters on the important physical flow features. The computational quantities of shear stress and rate of thermal and mass transportation near the surface are tabulated with a variety of implanted parameters. The resulting velocity is growing with an increase in heat and solutal buoyancy forces, while revolution and slip parameters have reverse effects on this. The resulting velocity is falling due to an increase in the Hartmann quantity, while the penetrability parameters have the opposite impacts on this. The species concentration of fluid is reduced by an increase in Schmidt number and chemical reacting parameter.

Unsteady MHD natural convection flow past an infinite vertical porous plate with radiation absorption effects

AbstractIn this paper, we have explored the unsteady hydromagnetic free convective flow over an infinite perpendicular porous plate with temperature resource and/or radiation absorption. The prevailing equations are subsequently resolved systematically by utilizing perturbation methodology. The velocity, temperatures as well as concentrations sketches are shown in graphics. The impacts in the flow area for dissimilar leading parameters have been explored. Also, the skin friction, Nusselt quantity along with Sherwood quantity are computed with different parameters and mentioned in the tables. The velocity diminishes with escalating in the chemically reacting parameter as well as improves with an increment in temperature resource parameters. The temperature field reduces with an augment in the Prandtl number, whereas it enlarges with an augment in temperature absorption parameters. The concentrations field is enhanced by an amplifying in chemically reacting variable, whereas it lessens with an amplifying Schmidt number.

Chemical reaction and Soret effect on an unsteady MHD heat and mass transfer fluid flow along an infinite vertical plate with radiation and heat absorption

In the current investigation, it is anticipated to examine the influence of heat absorption and radiation on an unsteady transient MHD heat and mass transfer natural convective flow of an optically thin non-Grey Newtonian fluid through an abruptly started infinite vertical porous plate with ramped wall temperature and plate velocity in the presence of Soret and chemical reaction of the first order is solved precisely. Using the similarity variables, the governed PDE's are converted into dimensionless governing equations and they are solved numerically by employing the finite element technique. Numerical calculations and graphs are used to illustrate the important features of the solution on fluid flow velocity, heat, and mass transfer characteristics under different quantities of parametric circumstances entering into the problem. Moreover, we computed the physical variables such as the coefficient of drag force, rate of heat, and mass transfer. The findings indicate that when the thermal radiation parameter increases, the thermal boundary layer becomes thinner. To establish the veracity of our present results, we compared them to previously published research and found substantial concordance.

Finite Difference Simulation of Nonlinear Convection in Magnetohydrodynamic Flow in the Presence of Viscous and Joule Dissipation over an Oscillating Plate

Engineers and researchers are interested in the study of nonlinear convection, viscous dissipation, and Joule heating in various flow configurations due to their various applications in engineering processes. That is why the present study deals with the influence of nonlinear convection, viscous, and Joule dissipation of the temperature and velocity profile of incompressible fluid over a flat plate. In this study, the magnetic field acts perpendicular to the fluid flow and is supposed to be of uniform magnitude. Further, the Newtonian fluid, which is electrically conducting, passes over an infinite vertical flat plate under an oscillatory motion. The term representing the influence of the nonlinear convection phenomenon is integrated into the Navier–Stokes equation. The governing equations of the mentioned study were modeled in the form of non-linear PDEs and modified as non-dimensional equations via appropriate scaling analyses, which resulted in coupled and non-linear PDEs. For the numerical solution of the transformed non-linear PDEs, the finite difference method was applied. Finally, we present the effects of various flow parameters via graphical illustrations.

VISCOUS AND JOULE HEATING EFFECTS ON MHD FREE CONVECTION AND MASS TRANSFER FLOW WITH THERMAL DIFFUSION AND LARGE SUCTION

MHD free convection and mass transfer flow of an incompressible viscous fluid past a continuously moving infinite vertical porous plate is made in the presence of joule heating and thermal diffusion. The corresponding momentum, energy and concentration equations are made similar by introducing the usual similarity transformations. These similarity equations are then solved analytically by employing the perturbation technique. The solutions are obtained for the case of large suction. The effects of the various parameters entering in to the problem on the velocity field are shown graphically.

Hall and ion slip effects and chemical reaction on MHD rotating convective flow past an infinite vertical porous plate with ramped wall and uniform wall temperatures

Hall and ion slip effects and chemical reaction on MHD rotating convective flow past an infinite vertical porous plate with ramped wall and uniform wall temperatures

Heat-mass transfer of MHD second grade fluid flow with exponential heating, chemical reaction and porosity by using fractional Caputo-Fabrizio derivatives

This work studies the analysis of heat mass transfer of generalized second grade fluid. The problem is modelled using Caputo-Fabrizio fractional derivative approach. The effects of MHD, chemical reaction, heat source and porous media are also included. The infinite vertical plate is subjected to the phenomenon of exponential heating. The governing equations along with their corresponding initial and boundary conditions are transformed into non-dimensional form. The system of governing equations has been solved through Laplace transform. Plots are prepared for several physical parameters of interested and discussed in detail. In limiting sense, the published results are recovered analytically and a comparison is made which shows an excellent agreement.

Establishment of Impulsive and Accelerated Motions of Casson Fluid in an Inclined Plate in the Proximity of MHD and Heat Generation

This article is committed to examine the unsteady MHD Casson liquid flow in an inclined infinite vertical plate in the proximity of heat generation and thermal radiation. The governing energy and momentum partial differential equations are ascertained. The momentum equation is established for two distinct types of conditions when the magnetic domain is relevant to the liquid and the magnetic domain is relevant to the moving plate. Analytical expressions for liquid temperature and motion are acquired by applying Laplace transform technique. The effects of physical parameters are accounted for two distinct types of motions namely impulsive motion and accelerated motion. The numerical values of liquid motion and temperature are displayed graphically for various values of pertinent flow parameters. A particular case of our development shows an excellent compromise with the previous consequences in the literature.

Mass Transfer Effects on Mixed Convective MHD Flow of Second Grade Fluid Past a Vertical Infinite Plate with Viscous Dissipation and Joule Heating

An attempt is made to study an unsteady, two-dimensional, laminar, mixed convective Magnetohydrodynamic (MHD) flow of an incompressible visco-elastic fluid (Waltersfluid model) past an infinite vertical plate. The reduced governing equations are solved analytically using two-term harmonic and non-harmonic functions. The effects of different pertinent parameters are discussed with the help of graphs and tables. The novelty of the present study is to account for the effects of viscous and joules dissipative heat and a linear first-order chemical reaction of diffusive species and mixed convective flow phenomena on an infinite vertical plate subjected to time-dependent suction velocity and a transverse magnetic field acting at a distance. The important findings reported herein are: increasing values of chemical reaction parameter cause low velocity and concentration, a decline in concentration profile is seen for the higher values of Schmidt number, Prandtl number contributes to more active convection. The application of the present study may be seen in combustion systems, nuclear reactors, and chemical processes. Before concluding the considered problem, our results are validated with previous results and are found to be in good agreement.

Inspection of chemical reaction and viscous dissipation on MHD convection flow over an infinite vertical plate entrenched in porous medium with Soret effect

Inspection of chemical reaction and viscous dissipation on MHD convection flow over an infinite vertical plate entrenched in porous medium with Soret effect