Uniform Mass Diffusion Research Articles

Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion

Objective : Fluid dynamics and heat transfer theory examine the Dufour phenomenon and the rotational influence of unstable parabolic flow across an accelerating infinite vertical plate. This scenario involves several parameters, including the "mass Grashof number (Gr), thermal Grashof number (Gc), Prandtl number (Pr), Hartmann number (Ha), Schmidt number (Sc), Dufour number (Dc), and acceleration parameter". Method : We have applied the Laplace transform method to the resulting PDE. This method converts the equations to algebraic form, making it easier to solve for velocity, temperature, and concentration in terms of time and space. Graphs can show the relationship between the acceleration parameter and numerous parameters such as mass and thermal Grashof, Hartmann (Ha), and Dufour (Df), as well as the consequent velocity profile. If the velocity increases when these variables change, we'll look at the physical reasons that generate this behaviour. We will examine the conclusions using experimental data or existing theoretical models, considering the model's assumptions and limits. Finally, highlight the significant facts and insights gained from the analysis. We will discuss potential future research possibilities, such as exploring more complex geometries or accounting for new physical effects. Findings : The increase in Dufour parameter value causes an increase in temperature and level trends, demonstrating the significant influence of these factors on the researched phenomena. Novelty: This research advances our understanding of heat and mass transfer phenomena by isolating the Dufour effect in a novel scenario involving unsteady flow around a rotating vertical plate, filling a gap in the existing body of knowledge that is dominated by MHD-inclusive investigations. Suggestions: This approach is fairly general and may be applied to find analysis of heat and mass transfer on Dufour effect for other effects such as Soret effect, Hall current of heat and mass transfer. Keywords: Uniform Temperature, Thermo diffusion (Dufour), Inverse Laplace, Rotational, Constant Mass

Detailed approaches to heat and mass transfer by exponentially accelerating a fluid over an inclined plate subjected to temperature variation and uniform mass diffusion

Detailed approaches to heat and mass transfer by exponentially accelerating a fluid over an inclined plate subjected to temperature variation and uniform mass diffusion

Impact of chemical reaction, viscous dissipation and thermal radiation on MHD flow past an oscillating plate

This study analyzes the consequences of first-order chemical reactions, radiation, and viscous dissipation on the unsteady magnetohydrodynamic natural convective flow of a viscous incompressible fluid over a vertically positioned semi-boundless oscillating plate with uniform mass diffusion and temperature. An implicit finite-difference technique is employed to solve a set of dimensionless, coupled, nonlinear partial differential equations. The numerical results for fluid velocity, concentration, and temperature at the plate under different dimensionless parameters are graphically displayed. Due to first-order homogeneous chemical reactions, it has been discovered that the velocity rises at the time of a generative reaction and drops during a destructive reaction. A decline in velocity is observed with an increase in the phase angle, radiation parameter, and chemical reaction parameter. Further, it has been revealed that plate oscillation, radiation, chemical reactions, and the magnetic field significantly influence the flow behavior.

A Parabolic Flow with MHD, the Dufour and Rotational Effects of Uniform Temperature and Mass Diffusion through an Accelerating Vertical Plate in the Presence of Chemical Reaction

A study that was carried out to analyses the movement and behavior of a vertically infinite plate with a parabolic beginning velocity profile in an unsteady flow scenario, taking into account numerous elements such as rotation, chemical reaction, and the Dufour effect. The investigation included evaluating heat readings from the plate as well as accumulation levels in its surroundings. The inverse Laplace technique was used to solve the governing equations. The research looked at two fundamental governing flow constraints: rotation and diffusion, velocity, temperature (Dufour), and how they affect the speed, temperature, and accumulation of a vertically oriented plate. These flow parameters' effects on mass and heat transfer proportions were also graphically represented using Matlab R 2020a. The study's findings were supported by referencing and aligning with earlier research.

Unsteady Flow Past an Accelerated Vertical Plate through Porous Medium in The Presence of Magneto-Hydro Dynamic (MHD) and Thermal Radiation with Variable Temperature and Uniform Mass Diffusion

Unsteady Flow Past an Accelerated Vertical Plate through Porous Medium in The Presence of Magneto-Hydro Dynamic (MHD) and Thermal Radiation with Variable Temperature and Uniform Mass Diffusion

Study on water and oxygen transfer characteristics of HT-PEM fuel cells

In this study, a steady-state model is developed by combining mechanical, Navier–Stokes, Maxwell–Stefan, and Butler–Volmer equations. This model is then used to investigate the influences of diffusion layer thickness deformation under a specific assembly force on the porosity distribution as an indicator of fuel cell performance. The HT-PEM (high temperature proton exchange membrane) fuel cell model is built using COMSOL Multiphysics software, simulating the changes in diffusion layer porosity under different thicknesses of the diffusion layer, thus analyzing the trends in variation of water and oxygen concentration in the cathode diffusion layer. The battery has different current densities at different operating potentials. The influence of the working potential on the mass transfer concentration and the variation in the mass transfer concentration of the diffusion layer under the different areas of flow channel and flow ridge is discussed. The simulation results have a certain reference value for the optimization of mass transfer in a diffusion layer. The results reveal the combined effect of the assembly force and flow field, which makes the porosity distribution uneven and results in remarkable lateral current in the gas diffusion layer (GDL). The thicker the diffusion layer, the less oxygen consumed, and a large amount of oxygen is retained in the gaseous diffusion layer. It can be concluded that thicker diffusion layer is conducive to more uniform mass transfer and diffusion. These results can potentially be used to promote the performance and application of HT-PEMFC.

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

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.

Highly Selective Photocatalytic Conversion of Glucose on Holo-Symmetrically Spherical Three-Dimensionally Ordered Macroporous Heterojunction Photonic Crystal

Highly Selective Photocatalytic Conversion of Glucose on Holo-Symmetrically Spherical Three-Dimensionally Ordered Macroporous Heterojunction Photonic Crystal

"Unsteady Flow Past an Accelerated Vertical Plate through Porous Medium in the Presence of Thermal Radiation with Variable Temperature"

The one-dimensional unsteady flow past an accelerated vertical plate with the variable temperature and uniform mass diffusion has been carried out through the porous medium in the presence of thermal radiation. The dimensionless governing equations are solved analytically using Laplace transform technique.The flow characteristics of velocity, temperature and concentration are carried for the different physical parameters like thermal Grashof number, modified Grashof number, permeability parameter, radiation parameter, Prandtl number, Schmidt number, and time.The velocity profiles were obtained for the different values of the modify Grashof number Gr, thermal Grashof number Gc, Schmidt numberthermal radiation R and time t. It shows that the velocity decreases with the increasing of the Gr and also the velocity increases with the increasing of the Gc, Schmidt Number Sc, thermal radiation R and time t. The temperature flow profiles for the different values of thermal radiation R and Prandtl number Pr were obtained. It can be observed that the temperature decreases with the increasing of the thermal radiation R and its decreases with the increasing of the prandtl number Pr. The effect of concentration for the different values of thermal radiation has been obtained. It is noted that the concentration decreases with the increasing of thermal radiatio R.

Uniform mass diffusion on thermal radiation with rotation of parabolic in progress vertical plate set MHD

A hypothetical value of an MHD parabolic started perpendicular plate along with rotation with unvarying mass dispersion on thermal radiation. The heat plate is elevated on T’W then promoted the centre near the close plate was about C’W. The plate hotness along with the concentration point next to the plate is lifted consistently. Dimension-less equivalence realized by applying the Laplace transmute method. This Analytic method of the issue tackled with the limit condition for heat and fixation is one with thermal radiation. The interpretation for temperature profile, concentration, and velocity outline is used several bodily criteria Grashof quantity for thermal and mass, warm air energy limitation, prandtl quantity, Schmidt quantity. The value speed steps up along mounting ideals of Grashof number for thermal (or) Grashof number for mass. The vogue is presently inverted with abiding by thermal radioactivity stricture.

Hall Effects on Isothermal Vertical Plate with Uniform Mass Diffusion in the Presence of Rotating Fluid and Chemical Reaction of First Order

An exact solution of the combined study of Hall effects on a vertical plate with a rotating fluid in the presence of a homogeneous chemical reaction of first order has been analysed. The dimensionless governing coupled partial differential equations are tackled using the usual Laplace transform technique. The sway of the Hall parameter, Hartmann number, Grashof number, Prandtl number, Schmidt number, chemical reaction parameter on the axial velocity and concentration of the fluid has been depicted graphically. When the non-dimensional angular velocity, Ω=2M21+m.2$\Omega = {{{\it 2}M^2 } \over { {\it 1} + m.^{2} }}$, the transverse velocity component vanishes, thereby the axial velocity of the fluid attains the maximum value. It is noted that with increase in the Hall parameter, thermal Grashof number and mass Grashof number, the axial velocity of the fluid increases significantly.

Hall Effects on Flow past an Exponentially Accelerated Infinite Isothermal Vertical Plate with Mass Diffusion

The effects of hall current and rotation on unsteady hydro magnetic free convection flow past an exponentially accelerated infinite vertical plate with uniform temperature and variable mass diffusion has been discussed. The flow is induced by a general time-dependent movement of the vertical plate, and the cases of ramped temperature and isothermal plates are studied. The governing partial differential equations have been derived for the velocity, temperature, concentration profiles by Laplace transform technique. The solutions that have been obtained are expressed in simple forms in terms of elementary function and complementary error function. Expressions for velocity, temperature and concentration fields are obtained. The obtained results are discussed with the effect of various parameters like Rotation parameter, Hall parameter, Hartmann number, Schmidt number, radiation parameter thermal Grashof number and mass Grashof number. The numerical values of primary and secondary velocities are displayed graphically. The temperature and concentration distributions are discussed numerically and presented through graphs.

Chemical Reaction Effects Past an Exponentially Accelerated Isothermal Vertical Plate with Uniform Mass Diffusion in the Presence of Magnetic Field and Hall Currents

Analytical study of chemical reaction effects past an exponentially accelerated infinite isothermal vertical plate in the presence of magnetic field and Hall currents are studied. Momentum, mass and energy equations are derived by Boussinesq's approximation. Equations in non-dimensional form are converted to dimensional form and solved using Laplace transform method. Axial velocity (U), transverse velocity (V), temperatureand concentration(C) profiles are studied with the help of hall parameter (m), Hartmann number (M), rotation parameter, Schmidt number (Sc), Prandtl number (Pr), thermal grash of number (Gr), mass grash of number (Gc) for cooling of the plate using MATLAB software. Skin friction is also studied for different parameters.

Hall Effects And Rotation Effects On MHD Flow Past An Exponentially Accelerated Vertical Plate With Combined Heat And Mass Transfer Effects

A theoretical solution of flow past an exponentially accelerated vertical plate in the presence of Hall current and MHD relative to a rotating fluid with uniform temperature and mass diffusion is presented. The dimensionless equations are solved using the Laplace method. The axial and transverse velocity, temperature and concentration fields are studied for different parameters such as the Hall parameter (m), Hartmann number (M), Rotation parameter (Ω), Schmidt number, Prandtl number, thermal Grashof number (Gr) and mass Grashof number (Gc). It has been observed that the temperature of the plate decreases with increasing values of the Prandtl number and the concentration near the plate increases with decreasing values of Schmidt number. It is also observed that both axial and transverse velocities increase with decreasing values of the magnetic field parameter or rotation parameter, but the trend gets reversed with respect to the Hall parameter. The effects of parameters m, M, Ω, Gr and Gc on the axial and transverse velocity profiles are shown graphically.

English

The theoretical analysis of magnetohydrodynamic flow past a parabolic motion started infinite vertical plate with variable temperature and uniform mass diffusion has been analysed. The plate temperature is raised linearly with time and the concentration level near the plate is raised uniformly. The dimensionless governing equations are solved using the Laplace transform technique. The effect of the velocity profile is discussed for different physical parameters like the thermal Grashof number, mass Grashof number, Schmidt number, and time. We conclude that the observation of velocity increases as the value of the thermal Grashof number or mass Grashof number increases. The trend is reversed with respect to the magnetic field parameter, as shown with the help of graphs.

Chemical Reaction Effects on MHD Flow Past an Impulsively Started Isothermal Vertical Plate with Uniform Mass Diffusion

A numerical technique is employed to derive a solution to the transient natural convection flow of an incompressible viscous fluid past an impulsively started infinite isothermal vertical plate with uniform mass diffusion in the presence of a magnetic field and homogeneous chemical reaction of first order. The governing equations are solved using implicit finite-difference method. The effects of velocity, temperature and concentration for different parameters such as the magnetic field parameter, chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the fluid velocity decreases with increasing the chemical reaction parameter and the magnetic field parameter.

Radiative flow past a parabolic started isothermal vertical plate with uniform mass diffusion

A theoretical solution of thermal radiation effects on an unsteady flow past a parabolic starting motion of an infinite isothermal vertical plate with uniform mass diffusion has been studied. The plate temperature as well as the concentration level near the plate are raised uniformly. The dimensionless governing equations are solved using the Laplace-transform technique. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The effects of velocity profiles are studied for different physical parameters such as the thermal radiation parameter, thermal Grashof number, mass Grashof number and Schmidt number. It is observed that the velocity increases with increasing values the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the thermal radiation parameter

Numerical study on flow past an oscillating plate with variable temperature and uniform mass diffusion under chemical reaction

An numerical study on an unsteady flow past an oscillating semi-infinite vertical plate with variable temperature and uniform mass diffusion under the influence of a first order chemical reaction has been carried out. The dimensionless governing equations are solved by an unconditionally stable and fast converging implicit finite difference scheme. The effects of velocity and temperature for different physical parameters such as the chemical reaction parameter, thermal Grashof number, mass Grashof number and time are analysed. It is observed that due to the presence of first order chemical reaction, the velocity increases during a generative reaction and decreases in a destructive reaction

On Flow Past A Parabolic Started Infinite Vertical Plate With Variable Temperature And Uniform Mass Diffusion

An exact solution of unsteady flow past a parabolic motion of an infinite vertical plate with variable temperature and uniform mass diffusion has been studied. The dimensionless governing equations are solved using Laplace transform in which the velocity increases with increasing values of thermal Grashof number or mass Grashof number.

Parabolic started flow past an infinite vertical plate with uniform heat flux and variable mass diffusion

Parabolic started flow past an infinite vertical plate with uniform heat flux and variable mass diffusion