Vertical Porous Plate Research Articles

RADIATION AND THERMAL DIFFUSION EFFECTS ON VISCO-ELASTIC FLUID PAST A POROUS PLATE WITH CHEMICAL REACTION AND HEAT GENERATION

A free convective two dimensional MHD boundary layer flow of a non-Newtonian (visco-elastic) fluid past a vertical porous plate have been thoroughly researched in this paper. The thermal diffusion Effects are also analyzed in presence of chemical reaction and radiation. A steady suction pressure is maintained at the plate. A singular perturbation method has been used to solve the problem. The analytical results are obtained for different values of the various dimensionless parameters entering into the flow problem and discussed quantitatively.

Unsteady MHD viscous dissipative Kuvshinski fluid past an infinite vertical porous plate with radiation, Soret, and Joule heating effect

Unsteady MHD viscous dissipative Kuvshinski fluid past an infinite vertical porous plate with radiation, Soret, and Joule heating effect

Radiation absorption, Hall and ion-slip current – driven MHD convection with spanwise cosinusoidally fluctuating temperature: a perturbative study

This study investigates the impact of radiation absorption, Hall and ion-slip current on magnetohydrodynamic free convective fluid flow past an infinite vertical porous plate with viscous dissipation and chemical reaction in the presence of Spanwise Cosinusoidally fluctuating temperature by time. Its significance extends across a wide array of applications, including advanced heat transfer systems for electronics, optimization of material processing kinetics, and fostering innovation for tailored material properties, with far-reaching implications spanning aerospace and renewable energy sectors. The governing equations, subject to stipulated boundary conditions are analyzed using the multiple regular perturbation method. The results are visually presented to evaluate the influence of various parameters on system dynamics. Graphical representations illustrate the physical significance of parameters including velocity, temperature, concentration, skin friction, mass transfer rate and heat transfer coefficients. The findings reveal that increased values of Hall and ion-slip current effects correlate with acceleration of velocity and skin friction. Moreover, higher radiation absorption parameter values lead to enhancements in velocity, temperature and Nusselt number. Conversely, different chemical reaction rates and Schmidt number values result in declines in velocity, concentration and Sherwood number. Additionally, incremental values of the Eckert number improve velocity and Nusselt number but have a reverse impact on temperature. The findings of this research align with those from prior examinations.

Effects of chemical reaction and radiation absorption on unsteady MHD free convection flow of Jeffery fluid in vertical porous plate

Effects of chemical reaction and radiation absorption on unsteady MHD free convection flow of Jeffery fluid in vertical porous plate

Unsteady MHD Walter’s-B Viscoelastic Flow Past a Vertical Porous Plate

The present paper intended to analyse an unsteady MHD Walter’s-B viscoelastic flow past a vertical porous plate embedded in a porous medium in the presence of the radiation and chemical reaction effects. The dimensionless partial differential equations of governing equations of the flow field are solved numerically using closed analytical method. The velocity, temperature and concentration profiles are discussed graphically and discussed qualitatively

Experimental study on a combined sand barrier: Integration of porous mesh plate and novel porous sand-fixing bricks

Wind and sand disasters frequently impact the newly constructed railroad along the Hongyi line in Qinghai Province's Qaidam Basin. The existing wind and sand prevention measures, primarily comprising polyethylene (PE) nets, have shown limited effectiveness. To this end, this study introduces an innovative combined sand barrier: A new type of porous sand fixing bricks (PSBs) are made from local aeolian sand, arranged in a square grid like low vertical sand barrier, and combined with a high vertical porous mesh plate (PMP) to form a combined sand barrier. Wind tunnel experiments were conducted to optimize the combined sand barrier's structure. The results indicate that incorporating porous sand-fixing brick sand barrier (PSBSB) on the leeward side of the PMP substantially impacts the near-surface flow field and plays a crucial role in decreasing wind velocity while enhancing sand control. The PSBSB with five rows of PSBs, positioned 18H from the PMP's leeward side, maximizes windproof and sand control efficiencies. Notably, the PSBs exhibit excellent self-stability under wind load, eliminating the need for additional fixing measures. This combined sand barrier presents a replicable, cost-effective solution for wind-blown sand disaster prevention in aeolian sand regions like the Hongyi line, promising advancements in sand barrier technology.

Numerical simulation of antibacterial and antiviral mechanisms using silver nanoparticles with the dynamics of Casson–Walters-B and variable thermophysical properties

Purpose The purpose of this study is to consider the dynamics of Casson–Walters-B alongside gyrotactic microorganisms through the investigation of antibacterial and antiviral mechanisms using silver nanoparticles (AgNPs). The Casson fluid and Walters-B flow from the penetrable plate to the boundary layer (BL) in this analysis. The antiviral and antibacterial mechanisms of AgNPs were separately examined in this study. Design/methodology/approach The physical phenomenon of this problem was analyzed with partial differential equations (PDEs). These PDEs were changed into ordinary differential equations (ODEs) to further explain the significance of pertinent control parameters. The set of equations is solved numerically by implementing the spectral relaxation method (SRM). SRM is a numerical technique that uses the basic techniques of Gauss-Seidel. The SRM first decouples and linearizes the coupled nonlinear set of ODEs. Findings In this finding, it is found that the thermal radiation parameter produces higher temperatures within the BL to cause blockage in viral replications. It is found in this study that the magnetic parameter assisted in disinfection by lowering the antiviral and antibacterial mechanisms within the momentum BL. This is evident from the reduction in the velocity and momentum BL as the Casson and Walters-B parameters increase. Originality/value This paper is unique because it examined the antiviral and antibacterial mechanisms by using AgNPs. Prior to the authors’ understanding, no study of this type was conducted in the past. To the best of the authors’ knowledge, no other study in the past has examined the mechanisms of antiviral and antibacterial separately within the BL. Also, the simultaneous flow of Casson (honey) and Walters-B fluids were considered flowing through the vertical porous plate to the BL.

Soret and Dofour effects on unsteady MHD convection flow over an infinite vertical porous plate

In this paper, the computational examination is carried out on the heat generation, Soret and Dufour’s influence on the unsteady MHD convection flow of an incompressible viscous fluid with chemical reaction. It is due to the exponentially accelerated vertical porous plate embedded in a permeable medium with ramped wall temperature together with surface concentration and also with thermal radiation impacts. The basic governing set of the equations of the fluid dynamics to the flow is converted into nondimensional form by inserting suitable nondimensional parameters and variables. In addition, the resultant equations are solved computationally with the efficient Crank–Nicolsons implicit finite difference methodology. The influences for several imperative substantial parameters for the model on the velocity, temperature and concentration for the fluids, the skin friction coefficient, Nusselt and Sherwood number for together thermal situations have been explored with the help of graphical profiles and tabular forms. It is found that, the increasing quantities of the Dufour, temperature generation and thermal radiation parameters, the fluid temperature as well as velocity enhances. Similarly, it is noted that an escalating Soret parameter causes the fluid’s velocity and concentration whereas the chemical reaction parameter notifies reversal outputs.

MHD Casson ternary hybrid nanofluid flow through a vertical porous plate with thermal radiation: A finite difference approach

AbstractThis entire study aims to investigate the impacts of linear thermal radiation and MHD Casson ternary hybrid nanofluid flows over a vertical porous plate for comparison of nanofluid, hybrid, and tri‐hybrid nanofluids with Newtonian and non‐Newtonian fluids. We used a ternary hybrid nanofluid, Blood contains three types of oxides and metals: spherical ferric oxide (Fe3O4), platelet‐shaped zinc (Zn), and cylindrically‐shaped gold (Au) nanoparticles. The coupled nonlinear dual partial differential equations (PDEs) are turned into PDEs using nondimensional quantities. The Finite Difference Method (FDM) and the Perturbation Method are then used to solve the PDEs. The impacts of different parameters on temperature, velocity, Nusselt number, and Skin friction profiles have been discussed. The increase in viscosity occurs because an increase in Gr also causes an increase in the velocity field for nanofluid, hybrid, and tri‐hybrid nanofluids. A tri‐hybrid nanofluids performs better among the three, such as nanofluid, hybrids and tri‐hybrid nanofluids. As the volume fractions (Fe3O4) increase, the temperature increase for both Newtonian and non‐Newtonian fluids. The increase in temperature is due to the thermal conductivity of nanoparticles, which is enhanced by growth estimates of the nanoparticle volume fraction. The high temperature of the fluid is observed for large estimates of nanoparticle volume fraction. An increase gold (Au) also increases the temperature for shapes (cylinder, platelet, and spherical). A spherical shape performs better among the three, such as cylinder, platelet, and spherical. In this model, biomedical applications such as antiviral and therapeutic, treatment of the COVID‐19 virus, cancer treatment, and anticancer medication delivery systems.

Brownian motion and thermophoresis effects on radiative polar fluid flow with higher-order chemical reaction along a vertical porous plate

The unsteady simulation of hydromagnetic radiative polar fluid, including thermophoresis, Brownian motion, and higher-order chemical reactions across a perpendicular permeable plate with heat radiation, is performed numerically. The nonlinear PDEs are solved by the explicit finite difference technique and studio developer FORTRAN. The stability and convergence of the present model and a comparison are done to obtain accuracy. The effects of various parameters such as Brownian motion, thermophoresis, radiative heat transfer, and higher-order chemical reactions on the velocity, temperature, and concentration fields are investigated. It is found that the parameters have a significant influence on velocity and temperature profiles, angular velocity, concentration, shear stress, angular momentum density, and Nusselt and Sherwood numbers. In addition, the local share stress rises with the chemical reaction, Eckert number, and thermophoresis, whereas it decreases with the magnetic field and porous medium. In addition, the Nu (local) intensifies with higher order chemical reactions and porous mediums, whereas it falls with Eckert number, Brownian effects, micro-rotation, and thermophoresis. The concentration profile decreases with higher radiation, and the Lewis number whereas it augments with higher radiation. With an Eckert number and thermophoresis, the temperature and velocity increase. Additionally, the higher order of chemical reaction and Brownian motion augment the Sherwood number, whereas the chemical reaction, magnetic field, and porous medium reduce it. Moreover, the study may help to understand the dynamics of flow and heat transfer for the design and optimization of various engineering applications such as heat exchangers, pollutant dispersion models, energy systems, biomedical, and so on.

Hall and Ion Slip Current influence on Unsteady MHD Free Convective Boundary Layer Flow Past a Vertical Porous Plate with Thermal Radiation and Chemical Reaction

The analytical reconnaissance has been effectuated to explicate the influence of Hall and ion-slip current on nonlinear MHD free convective flow near a vertical porous plate in presence of chemical reaction and Dufour effect. In this assessment the governing PDE’s are determined analytically. The impact of multifarious physical parameters has been contemplated on velocity, temperature as well as concentration which were exemplified via numerous graphs whereas quantification for the skin fiction, nusselt number and Sherwood number are demonstrated in numeric data form and are reported in table. In this examination mainly observed that velocity declined with the incremental values of Hall current as well as ion-slip current. Meanwhile velocity as well as temperature accelerated by means of the incremental values of Dufour number. However concentration diminished with the accelerated values of chemical reaction along with Schmidt number

An analytical study on generation of waves due to the rolling of flexible porous barriers

Complete analytical solution for generation of waves due to rolling of a partially immersed vertical elastic porous plate or a tensioned membrane is obtained. The originally defined boundary value problem in the half-plane has been decomposed first into a couple of flexible porous wave potential problems in the quarter-plane. Then, a pair of integral relations are introduced to establish a connection among the flexible porous wave potentials, solid wave potentials, and auxiliary wave potentials. By utilizing the connection, the flexible porous wave potentials can be determined in terms of the solid and the auxiliary wave potentials. The problems for the latter two types of potentials are easier to handle mathematically than the problems for the flexible porous wave potentials because of the involved structural boundary condition. Thus, the solid and the auxiliary wave potentials have been obtained analytically by the existing methods of solutions. Explicit analytical expressions are derived for the radiated wave amplitudes and velocity potentials. These radiated wave amplitudes are numerically computed and analyzed for different parameters involved. The results are validated with those derived for the problem involving a solid plate.

On the implication of exponentially decaying internal heat generation on mixed convection flow from a vertical porous plate influenced by second‐order thermal and momentum slips

AbstractThis article contains vital information on the internal heat generation effect on mixed convection slip flow past a vertical plate. The partial differential equations were first simplified to ordinary differential equations through similarity transformation. The simplified first‐order differential equations were integrated with Maple Software 2022 after utilizing the shooting technique. One of the most important discoveries is that the internal heat generation acts as a barrier to stop heat from flowing from the left to right plate edge. However, this could be averted by considering strong mixed convection to covet away the heat conducted through the left surface of the plate and the internal heat generated. However, for weak mixed convection, the movement of the fluid from the left to the right surface of the plate is achievable even with minimal internal heat generation. Since the right surface temperature is warmer (higher) than the left surface, the flow properties, in this case, are also affected by the internal heat generation, which also causes the reverse of heat flow from the plate. Particle injection could also be used to avert unwanted reversed flow for various momentum slip conditions considered. There is a marginal reverse flow at the plate surface, which may be related to the flow's mixed convective characteristics. Due to the plate surface's reinforcement, the rise in flow formation caused by the momentum slip parameter is more substantial close to the plate.

Carboxymethyl cellulose-water-based hybrid nanofluid mixed convection flow between porous vertical plates: Entropy generation analysis

This paper analyzes the thermodynamic second law analysis of mixed convection heat transfer of Carboxymethyl Cellulose (CMC)-water based viscoelastic hybrid nanofluid flow in a vertical parallel plate channel filled with porous medium. In mixed convection flow, where both buoyancy and viscous forces play significant roles in the flow behavior, the inclusion of viscous dissipation in the analysis is crucial. The governing equations of the problem are converted into a system of ordinary differential equations using appropriate similarity transformations, which are then solved by the Homotopy Analysis Method (HAM). The behavior of non-dimensional velocity, temperature, skin friction coefficient, Nusselt number, entropy generation and Bejan number profiles for a range of pertinent flow parameter values is displayed graphically and deliberated. Study reveals that a decrease in the dominance of viscous forces relative to inertial forces within the porous medium lowers entropy generation in the system.

Effects of viscous dissipation, gravity modulation and Joule heating on MHD Casson fluid flow over a vertically moving plate with second-order slip velocity

The study of magnetohydrodynamic flow problems for non-Newtonian fluids is significant in many engineering problems. The current inquiry is concerned with a time-dependent, incompressible magnetohydrodynamic Casson fluid flow in a vertically moving plate. The aim of this study is to analyse the effect of viscous dissipation, gravity modulation, heat source and Joule heating with second-order slip velocity. Governing equations are converted to non-dimensional ones using appropriate similarity transformations. To solve the altered equations, the perturbation method is applied, together with MATLAB software. The important physical outcome of this research is that the gravity modulation parameter increases the temperature and velocity of fluid inside the boundary layer. The Eckert number enhances the fluid velocity, concentration boundary layer, skin friction and Nusselt number, whereas the temperature boundary layer reduces for heat sink parameter. The permeability of the porous parameter raises the fluid’s concentration. The work of Kodi et al. [2021. “Investigation of MHD Casson Fluid Flow Past a Vertical Porous Plate Under the Influence of Thermal Diffusion and Chemical Reaction.” Heat Transfer 51 (1): 377–394] has been expanded in this study by adding the novel effects of gravity modulation, Joule heating and viscous dissipation. In addition, the boundary condition includes second-order slip velocity. The obtained results are compared with Kodi et al. [2021. “Investigation of MHD Casson Fluid Flow Past a Vertical Porous Plate Under the Influence of Thermal Diffusion and Chemical Reaction.” Heat Transfer 51 (1): 377–394] and it shows an excellent agreement when added effects are neglected.

Soret and Dufour effects on two dimensional steady MHD flow past a semi‐infinite vertical porous plate in the presence of thermal radiation and radiation heat absorption with constant heat and mass flux

AbstractThe problem of a two‐dimensional steady, MHD convective, incompressible, viscous flow past a uniformly moving semi‐infinite vertical porous plate embedded in a porous medium in the presence of radiation heat absorption, thermal radiation, thermal diffusion, and diffusion thermo effects with constant heat and mass flux are studied. In the fluid region, a transversely oriented, homogeneous magnetic field of intensity is applied. The non‐dimensional governing equations are solved analytically adopting asymptotic series expansion method. The impacts of several physical quantities including Grashof number, Schmidt number, Prandtl number, Soret number, radiation absorption, radiation parameter, magnetic field within the flow domain and transport characteristic have been explored graphically. It has been found that fluid velocity and skin friction fall with enhancing the values of magnetic parameter. Further, temperature and concentration fields rise with an increase in the Soret effect.

Hall and viscous dissipation effects on mixed convective MHD heat absorbing flow due to an impulsively moving vertical porous plate with ramped surface temperature and concentration

AbstractThe current investigation is purported on viscous heating dissipation and Hall consequences on mixed convection magneto‐hydrodynamic heat captivating fluid transmitting from an impulsively starting vertical porous plate with ramp surface temperature and concentration in the existence of chemical reaction and radiation. The dimensional flow dominating partial differential equations is translated into a non‐dimensional partial differential form by adopting appropriate variables and parameters. A finite element approach is driven to simplify the resulting dimensionless nonlinear linked partial differential equations with initial and boundary stipulates. The after‐effects of flow commanding parameters on the velocity components, temperature and concentration are broadly analysed graphically, whereas both primary and secondary shear stresses, heat and mass transferral rates close to the surface area of the plate are discussed in tables. The ultimate results of this research revealed that viscous heating dissipation, Hall current, and thermal and mass buoyancy responses intensify both velocity components, whereas the efficacy of magnetic fields and radiation degrade both velocity components. The temperature distribution devalues with increasing heat absorption and Prandtl number, but a contrary impulse was noted with viscous heating dissipation. Likewise, concentration distribution expands with time progress but decays with chemical reaction parameters. A comparative analysis among the current results and certain research studies in the literature manifests the results’ precision and correctness.

A comparative analysis of three distinct fractional derivatives for a second grade fluid with heat generation and chemical reaction

This article provides a comparison among the generalized Second Grade fluid flow described by three recently proposed fractional derivatives i.e. Atangana Baleanu fractional derivative in Caputo sense (ABC), Caputo Fabrizio (CF) and Constant Proportional-Caputo hybrid (CPC) fractional derivative. The heat mass transfer is observed during the flow past a vertical porous plate that is accelerated exponentially under the effects of the Magneto hydro dynamics. The effects of the heat generation and exponential heating in the temperature boundary layer and chemical reaction at the concentration boundary layer are also analyzed in this article. The flow model is described by three partial differential equations and the set of non-dimensional PDE’s is transformed into ODE’s by utilization of the integral transform technique (Laplace transform). For the better understanding of the rheological properties of the Second Grade fluid we used the CF, ABC and CPC operators to describe the memory effects. The analytical exact solution of the problem is obtained in the form of G-functions and Mittag Leffler functions. For the physical significance of flow parameters, different parameters are graphed. From this analysis it is concluded that the CPC is the most suitable operator to describe the memory effects.

Numerical method of radiation impact on unsteady MHD nanofluid flow past an accelerated vertical porous plate with heat source

ABSTRACT This present research is focused on unsteady MHD (Magnetohydrodynamics) nanofluid flow past a vertically accelerated plate through a porous medium in the existence of heat source and radiation impacts. All three ingredients are thought to be nanofluids based on water that can conduct electricity. The effects of electromagnetic fields and radiation are considered. The numerical explanations of the governing equations are achieved using the finite difference method. Graphical demonstrations of the temperature and velocity fields of Ag-water and Ti O 2 -water are shown. Ag-water has higher velocities than Ti O 2 -water. Ag-water has a higher temperature than Ti O 2 -water. When the magnetic force is kept the same between the plate and the fluid, the velocity curves are found to be a lot higher than when it is kept the same between the plate and the fluid.

A study of irreversibility on nonlinear thermal radiation and MHD flow of Casson and Carreau ternary hybrid nanofluid over a vertical porous plate: Numerical and statistical approach

This study looks at the effects of entropy generation on the flow of Casson and Carreau fluid ternary hybrid nanofluid over vertical plates with nonlinear thermal radiation. In this model, we used three different metals: gold (Au), titanium dioxide (TiO2), and silver (Ag) with the basic fluid being blood. The Homotopy Perturbation Method utilizes self-similarity to transform the coupled nonlinear partial differential equations into ordinary differential equations to solve them. The findings of the Numerical Method (NM) are compared to those of the Homotopy Perturbation Method (HPM) and HPM produces more dependable results. We use graphs to express the changes experienced by the entropy, temperature, velocity, and the Bejan number which are affected by the physical properties of the Casson and Carreau fluids, such as porosity, magnetic field, volume fraction, radiation, Brinkman number, and suction/injection. Nusselt number, skin friction, and streamlining are also investigated, and the obtained results are shown using graphs and tables. The regression analysis, and correlation for the Nusselt number, and skin friction were also performed. The velocity profile decreases for Casson and Carreau fluid over a vertical plate while the magnetic field parameters increase. An increase in the magnetic parameter increases the Lorentz force, which produces the resistance to the flow of fluid, and this is how velocity decreases. The increase in magnetic field and heat radiation leads to a corresponding rise in entropy generation for both Carreau and Casson fluids. This entire research focuses on ternary hybrid nanofluids, which have numerous applications. Some of them are solar thermal, automobile, biomedical, electric cooling, and optical. This study focuses on biomedicine applications such as bone regeneration, diabetes management, imaging applications, antimicrobial agents, and diagnostic applications.