Plate In Porous Medium Research Articles

Effects of Stefan blowing on Eyring–Prandtl nanofluid flow past a moving plate in Darcy-porous medium

Eyring–Prandtl nanofluid is used in several areas for the purpose of flow control, improvement of stability, enhancement of heat transfer, and many others. Motivated by these uses, this work aims to investigate the transmission of heat in two-dimensional Eyring–Prandtl nanofluid flow across a moving plate under the influence of Stefan blowing effects in a Darcy-porous medium. The new aspect of the flow problem arises due to the moving plate having nonlinear velocity as well as inclusion of Stefan blowing and consideration of nanofluid. This creates a boundary layer flow over the plate. Similarity transformations are employed for obtaining self-similar structure of the leading equations. Self-similar solutions are found for a specific power law velocity of the moving plate. Numerical technique is adopted for finding solutions of the self-similar nonlinear equations. A thorough discussion and demonstration of the effects of fluid material parameters, medium permeability, Prandtl number, Lewis number, and other parameters on temperature, concentration, and velocity are made. The possible physical explanations are provided systematically. The permeability of the porous medium determines how the fluid is flowing in the porous medium. It restricts the velocity but temperature and concentration are enhanced. However, the Stefan blowing parameter has shown reverse effects on velocity and concentration. This study indicates that the two material fluid parameters involved in the momentum equation have opposite effects on temperature, concentration, and velocity. The basic essence of this study is to find the boundary layer flow structure developed over a moving plate in porous medium and heat, mass transfer influenced by the nanofluid.

Effect of chemical reaction on MHD Casson natural convection flow over an oscillating plate in porous media using Caputo fractional derivative

Fractional calculus is a branch of mathematics that extends the traditional definitions of calculus to include non-integer exponents. It has been successfully used to model a variety of physical processes, including the coiling of polymers, viscoelasticity, traffic flow, diffusive transport, fluid dynamics, electromagnetic theory, and electrical networks. However, fractional calculus has not yet been widely used to study the physical properties of non-Newtonian fluids flowing over accelerating porous plates. The present research examines the unsteady Casson flow over an infinitely horizontal porous plate, MHD and porosity impacts on fluid velocity are also discussed. The major goal here is to develop analytical outcomes for the tran-sient incompressible MHD Casson flow over an accelerating porous plate. This plate is oscillating in the x-direction and infinitely large in the y-direction and fluids flowing over it at y > 0 due to oscillation. Choosing the right choice of dimensionless variables allows the model's governing equations to become dimensionless. These dimensionless differential equations of the Casson fluid are calculated by applying the Laplace transform method. On velocity, the impacts of different factors are investigated. They are time, porosity parameter, oscillation frequency of plate, magnetic parameter, and Casson fluid parameter. As we rise the Casson flow parameter values, magnetic parameter, and Prandtl number we observe that the velocity drops. In contrast to other factors, the effects of Grashof number, oscillation frequency, fractional parameter, and porosity on the velocity profile are reversed. Using Mathcad software, graphs are sketched for various values of these parameters and are thoroughly described. The fluid properties discovered signif-icant findings and disclosed several characteristics for a range of flow parameters and fractional parameter values. Increasing the values of fractional parameters is shown to improve the characteristics of fluids, and this is beneficial in fitting experimental data related to heating and cooling processes, particularly in electronic equipment.

Dynamic Interactions: Non-Integer-Order Heat-Mass Transfer in Magnetohydrodynamic Flow of Non-Newtonian Fluid over Inclined Plates

The heat and mass transfer phenomenon in the presence of a moving magnetic field has a wide range of applications, spanning from industrial processes to environmental engineering and energy conversion technologies. Understanding these interactions enables the optimization of various processes and the development of innovative technologies. This manuscript is about a non-integer-order heat-mass transfer model for Maxwell fluid over an inclined plate in a porous medium. The MHD flow of non-Newtonian fluid over the plate due to the natural convection of the symmetric temperature field and general motion of the inclined plate is investigated. A magnetic field is applied with a certain angle to the plate, and it can either be fixed in place or move along with the plate as it moves. Our model equations are linear in time, and Laplace transforms form a powerful tool for analyzing and solving linear DEs and systems, while the Stehfest algorithm enables the recovery of original time domain functions from their Laplace transform. Moreover, it offers a powerful framework for handling fractional differential equations and capturing the intricate dynamics of non-Newtonian fluids under the influence of magnetic fields over inclined plates in porous media. So, the Laplace transform method and Stehfest’s numerical inversion algorithm are employed as the analytical approaches in our study for the solution to the model. Several cases for the general motion of the plate and generalized boundary conditions are discussed. A thorough parametric analysis is performed using graphical analysis, and useful conclusions are recorded that help to optimize various processes and the developments of innovative technologies.

Effect of Heat Source on MHD Convective Flow of Non- Newtonian Fluid past an Oscillating Porous Plate in Porous Medium

Introduction: An investigation was conducted to analyse the impact of unsteady flow caused by non-Newtonian fluid with magneto hydrodynamic properties on an oscillating plate made of porous material in a porous medium. The analysis of convective heat transfer included additional parameters such as electrically conducting unsteady flow-facing applied magnetic force. The Perturbation method was used to transform the governing equations into non-linear differential equations with utmost precision. Moreover, MATLAB was used to precisely evolve temperature and velocity profiles for different parameters such as Grashof number, Prandtl number, skin friction, magnetic parameter, and source/sink. The heat transfer rate was thoroughly evaluated and compiled using graphs and tables, guaranteeing the accuracy of the results.

Finite Difference Approach on Magnetohydrodynamic Stratified Fluid Flow Past Vertically Accelerated Plate in Porous Media with Viscous Dissipation

Finite Difference Approach on Magnetohydrodynamic Stratified Fluid Flow Past Vertically Accelerated Plate in Porous Media with Viscous Dissipation

Impacts of chemical reaction, thermal radiation, and heat source/sink on unsteady MHD natural convective flow through an oscillatory infinite vertical plate in porous medium

The main objective of this exploration is to analyze the effects of heat source/sink, chemical reactions, and radiation on the unsteady free convective flow through a porous medium using an infinitely oscillating vertical plate. The Laplace transformation tactics is utilized to solve the governing equations for concentration, energy, and momentum. The simulation results demonstrate that the chemical reaction parameter dwindles both primary and secondary velocities. It has been noted that an upsurge in heat generation (heat source) enhances the temperature field, while a decrease in heat absorption (heat sink) leads to a reduction in the temperature field. Furthermore, the radiation parameter causes a drop in both temperature and velocity patterns. The equation for skin friction is derived and presented graphically, and 3-dimensional surface plots are provided to depict the Nusselt number and Sherwood number. Additionally, graphical illustrations are employed to showcase the influence of various non-dimensional variables on concentration, temperature, and velocity patterns.

EFFECT OF INTERNAL HEAT AND VARIABLE ELECTRICAL CONDUCTIVITY ON CONVECTIVE MHD FLOW ALONG A VERTICAL ISOTHERMAL PLATE

The study investigates convective MHD flow of incompressible fluid of low Prandtl number along a vertical non-conducting plate in porous medium at constant temperature where fluid is sucked through a vertical plate with a constant suction velocity under the action of small internal volumetric heat generation and transverse magnetic field applied externally. The electrical conductivity of the fluid is considered to be temperature dependent variable. Incorporating the Boussinesqs approximation for the boundary layer flow and considering the action of local specific dissipation of mechanical energy due to permeability of the medium, numerical values of various flow parameters such as velocity, temperature, skin-friction, heat transfer etc. are calculated numerically, analysed graphically and conclusions are drawn.

Influence of Thompson and Troian slip on the nanofluid flow past a permeable plate in porous medium

Influence of Thompson and Troian slip on the nanofluid flow past a permeable plate in porous medium

Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method

Non-axisymmetric stagnant-point flows for flat plates in porous media containing spherical Cu-Al2O3-H2O nanoparticles are studied using the homotopy analysis method (HAM). The governing equations are transformed into three coupled non-linear ordinary differential equations through similarity transformations. A large degree of freedom is provided by HAM when selecting auxiliary linear operators. By transforming nonlinear coupled ordinary differential equations with variable coefficients into linear ordinary differential equations with constant coefficients, nonlinear coupled ordinary differential equations can be solved. Over the entire domain, these equations can be solved approximately analytically. The analysis involves a discussion of the impact of many physical parameters generated in the proposed model. The results have shown that skin friction coefficients of Cfx and Cfy increase with volume fraction of hybrid nanofluid and the coefficient of permeability increasing. For the axisymmetric case of γ = 0, when volume fraction, φ, φ1, φ2 = 0, 5%, 10%, 20%, Cfx = Cfy = 1.33634, 1.51918, 1.73905, 2.33449, it can be found that the wall shear stress values increase by 13.68%, 30.14%, and 74.69%, respectively. In response to an increase in hybrid nanofluid volume fractions, local Nusselt numbers Nux increase. Nux decrease and change clearly with the coefficient of permeability increasing in the range of γ < 0; the values of Nux are less affected in the range of γ > 0.

Heat Generation and Soret-Dufour Effects on Heat and Mass Transfer in Mixed Convection Flows of Power-Law Fluids about a VHF/VMF Plate in Porous Media: The Entire Regime

Heat Generation and Soret-Dufour Effects on Heat and Mass Transfer in Mixed Convection Flows of Power-Law Fluids about a VHF/VMF Plate in Porous Media: The Entire Regime

On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique

In this paper, the boundary layer flow of viscous incompressible fluid over an inclined stretching plate in porous media with body force and heat transfer has been studied. To solve this problem, we develop a suitable spline method which is used to calculate the velocity function of the flow problem. We proceed as follows:•With a suitable stream function, the concerned boundary layer equation is converted into non-linear third order ordinary differential equation together with appropriate boundary conditions in an infinite domain which has been further linearized by using quasi-linearization method.•Then, we develop a non polynomial quintic spline technique which has been used to find the numerical values of the velocity function of the flow problem. The convergence analysis of the developed spline technique has been discussed.•Later, the method developed so far has been applied to solve nonlinear boundary value problem for different angles of inclination and Froude number. The values obtained so far have been used to study heat flow problem. Finally, skin friction has been discussed.

MHD and Thermal Slip Effects on Viscous Fluid over Symmetrically Vertical Heated Plate in Porous Medium: Keller Box Analysis

The heat transfer characteristics along the non-magnetized shapes have been performed in various previous studies numerically. Due to excessive heating, these mechanisms are less interesting in engineering and industrial processes. In the current analysis, the surface is magnetized, and the fluid is electrically conducting, which is responsible for reducing excessive heating along the surface. The main objective of the present work is to analyze convective heat transfer analysis of viscous fluid flow with thermal slip and thermal radiation effects along the vertical symmetric heated plate immersed in a porous medium numerically. The results are deduced for viscous flow along a magnetized heated surface. The theoretical mechanism of heat and magnetic intensity along a vertical surface is investigated for numerical analysis. The nonlinear-coupled partial differential equations (PDEs) for the above viscous fluid flow mechanism with the symmetry of the conditions normal to the surface are transformed and then converted into non-similar formulations by applying appropriate and well-known similarity transformations for integration and solutions. The final non-similar equations are numerically integrated by employing the Keller box method. The discretized algebraic equations are plotted graphically and numerically on the MATLAB R2013a software package. The main finding of the current analysis is to compute physical quantities such as velocity graph, magnetic field graph, and temperature plot along with their slopes, that is, skin friction, magnetic intensity, and heat transfer for different parameters included in the flow model. First, the velocity graph, magnetic field graph, and temperature graph are obtained, and then their slopes are analyzed numerically along the vertical magnetic surface. It is noticed that fluid velocity is increased at lower magnetic force, but minimum velocity is noticed at maximum magnetic force. It is worth mentioning that with the increase in magnetic force, the magnetic energy increases, which extracts the kinetic energy of the fluid and causes the above-said behavior. Furthermore, the current issues have significant implications for the polymer industries, glass fiber production, petroleum production, fiber spinning, plastic film production, polymer sheet extraction, heat exchangers, catalytic reactors, and the production of electronic devices.

Numerical Exploration of Soret and Dufour Effect on Unsteady Free Convective Radiating Nanofluid Past a Vertical Moving Porous Plate

The present paper deals with the numerical investigation of Soret and Dufour effect on free convective heat and mass transfer characteristics of radiating water based nanofluid past a vertically moving porous plate in porous medium. The water based nanofluid with copper as a nanoparticle is considered in the present study. The dimensional governing equations relevant to the present model are transformed into non-dimensional form by using the appropriate parameters. The non-dimensional governing equations with the pertinent boundary conditions are solved numerically by using bvp4c function in Matlab software. The influence of suitable parameters on fluid velocity, temperature, concentration, Sherwood number (rate of mass transfer), Nusselt number (rate of heat transfer) and skin friction are exhibited graphically and discussed. Also, the effect of radiation parameter and Prandtl number in the absence of Dufour number has been compared with the help of contours. It is apparent from this study that fluid velocity increases with the increase in K, , &amp; Du and decreases with increase in The fluid temperature increases with the increase in Du &amp; R while it decreases with Pr. The fluid concentration increases with increase in whereas it decreases with . The rate of mass transfer (Sherwood number) increases with increase in Du and decreases with increase in &amp; while the rate of heat transfer (Nusselt number) increases with increase in Du &amp; Pr and decreases with increase in R. Shear stress (skin friction) decreases with the increase in , , K &amp; Du.

Influence of chemical reaction on MHD Newtonian fluid flow on vertical plate in porous medium in conjunction with thermal radiation

Abstract Our key objective in the present work is to elaborate the concept of activation energy in chemically reactive flow with the help of modeling and computation. The model investigated is fluid flow over a vertical cylinder in the porous medium with chemical reaction and radiation effect. The similarity transform converted the resulting constitutive equations and partial differential equations (PDEs) into ordinary differential equations (ODEs). The resulting non-linear momentum, heat transfer, and mass transfer coupled equations are computed with the Range–Kutta–Fehlberg method. Both assisting and non-assisting buoyant flow conditions are considered, and observed numeric solutions vary with the transport properties. Characteristics of momentum, heat, and concentration under the applied boundary conditions are analyzed. In addition, the increment in activation energy parameters boosts the Lorentz force and mass transfer rate.

Investigation of Drift Phenomena at the Pore Scale during Flow and Transport in Porous Media

This paper reports an analytical study conducted to investigate the behaviour of tracers undergoing creeping flow between two parallel plates in porous media. A new coupled model for the characterisation of fluid flow and transport of tracers at pore scale is formulated. Precisely, a weak-form solution of radial transport of tracers under convection–diffusion-dominated flow is established using hypergeometric functions. The velocity field associated with the radial transport is informed by the solution of the Stokes equations. Channel thickness as a function of velocities, maximum Reynolds number of each thickness as a function of maximum velocities and concentration profile for different drift and dispersion coefficients are computed and analysed. Analysis of the simulation results reveals that the dispersion coefficient appears to be a significant factor controlling the concentration distribution of the tracer at pore scale. Further analysis shows that the drift coefficient appears to influence tracer concentration distribution but only after a prolonged period. This indicates that even at pore scale, tracer drift characteristics can provide useful information about the flow and transport properties of individual pores in porous media.

Effect of Heat source on an unsteady MHD free convection flow of Casson fluid past a vertical oscillating plate in porous medium using finite element analysis

The present research paper aims to study the effect Heat source on an MHD Casson fluid through a vertical fluctuating porous plate. Dimensional non-linear coupled differential equations transformed into dimensional less by introducing similarity variables. The transformed nondimensional ordinary differential equations of velocity, temperature is solved by Galerkin element technique. The influence of flow parameters like Casson fluid ( γ ) , Permeability (K), magnetic number (M), Phase angle ( ω t ) , Prandtl number (Pr), other physical quantities on velocity along with temperature profiles is explained in detailed via graphs. Skin friction, Nusselt number is also explained through tables. Moreover, with increasing the heat source parameter the result in the velocity and temperature increases.

APPLICATION OF TAGUCHI EXPERIMENTAL METHOD IN NUMERICAL SIMULATION OF VARIABLE VISCOSITY AND INTERNAL HEAT GENERATION EFFECTS ON NATURAL CONVECTION IN POROUS MEDIA

This study uses an optimization approach representation of the numerical solution for the variable viscosity, the uniform blowing/suction and the internal heat source effects on the free convection flow over a vertical permeable plate in porous media with a non-linear Boussinesq approximation. The internal heat source is of an exponential decaying form. The partial differential equations are transformed into non-similar equations and solved by Keller box method (KBM). Compared with the previously published articles, the results are considered to be very consistent. Numerical results for the local Nusselt number with the four parameters: 1) the blowing/suction parameter , 2) the viscosity-variation parameter , 3) internal heat source coefficient , 4) the non-linear temperature parameter are expressed in tables. Through the Taguchi method to predict the best point of the maximum of local Nusselt number is , , , .

Effect of suction/blowing on heat-absorbing unsteady radiative Casson fluid past a semi-infinite flat plate with conjugate heating and inclined magnetic field

This article studies the effect of suction/blowing, inclined magnetic field, and chemical reaction on heat-absorbing unsteady radiative Casson fluid past a semi-infinite flat plate in porous medium incorporating the oscillatory plate movement as a linear combination of ‘cosine’ and ‘sine’ functions in time. Further, the mass and heat transfer characteristics are examined under the influence of conjugate mass and heat transfer phenomena at the boundary. The governing equations of the model, viz. the energy, mass transfer, and momentum, are transformed into the non-dimensional form adopting suitable non-dimensional variables and parameters. The exact analytic solutions of the model for species concentration and fluid temperature are obtained using Laplace transform technique whilst, the solution for the fluid velocity has been obtained numerically with the help of the INVLAP routine of MATLAB. The expressions for fluid temperature, species concentration, and velocity are obtained and studied graphically for various physical parameters influencing the fluid flow model taking into account the case of both suction and blowing. Further, the solutions when the Casson fluid parameter $$\alpha \rightarrow \infty $$ are also obtained as special cases. Results for the skin friction coefficient, Sherwood number, and Nusselt number are numerically calculated and put in tabular form. An increment for the inclination angle of the magnetic field enhances the fluid velocity while it has a reverse effect on skin friction. Increasing the Schmidt number Sc leads to a reduction in fluid concentration and increasing the value of thermal radiation accelerates fluid temperature. This fluid flow model has several industrial applications in the field of chemical, polymer, medical sciences, etc.

Entropy generation analysis of triple diffusive flow past a horizontal plate in porous medium

The combined natural heat and mass transfer, the so-called thermosolutal convective problem, has become an attractive field of research in many diversified areas. In this paper, for the first time, entropy analysis has been carried out for triple diffusive flow. A comprehensive model is developed for the entropy generation due to fluid friction, porous medium, heat, and mass transfer across a finite temperature and concentration difference in the chemical potential of two salts. In this model, a new term showing the entropy generation due to the coupling of concentration gradients of both salts is included. Furthermore, we have introduced a new mass Bejan number for the salts concentrations. The selected salts include sodium chloride and sucrose, which are added in water with different concentrations. The concentrations of both salts are assumed to be higher at the surface. The previously established dimensionless governing equations with Boussinesq approximation and Darcy law were solved numerically. The resulting velocity, temperature, and concentration gradients are employed in the entropy generation model. The impacts of the pertinent parameters and related dimensionless numbers on the dimensionless entropy generation rate, irreversibility ratio and Bejan numbers are examined for both assisting and opposing flows. It has been found that entropy generation rates are higher for assisting flows than opposing flows. At the same time, it is possible to reduce the entropy generation rate with a rise of the Darcy and Lewis numbers while the mass Bejan number increases with Lewis number.

Experimental study on the quenching process of methane/air deflagration flame with porous media

This article reports experimental investigation of deflagration flame quenching behavior by porous media. In this study, a semi-vented deflagration chamber with a porous media plate was constructed, taking account of effects of obstacles and porous media materials on the flame quenching process. A high speed video camera was used to image the process and behavior of flame propagation, meanwhile, the gas-phase temperatures and ion currents, upstream, within, and downstream of the porous media, were measured using micro-thermocouples and ion probes, respectively. Results show that methane/air deflagration flame can be quenched by the Al2O3 porous media with thickness of 20 mm and pore density of 10 ppi. However, the presence of obstacles along the flame path may lead to significant increase of flame speed, thereby both the decreases of gas-phase temperature and ion current when the flame passes through the porous medium in the case with continuous obstacles are less, eventually the unburnt gases downstream the porous media may be reignited. Compared to Al2O3, Al porous media shows superior flame quenching performance because this metallic material has higher thermal conductivity, which makes combusting flame release more heat to the pore walls and adjoining structures of the porous media.