Analysis of magnetohydrodynamic casson fluid flow with chemical reaction in a vertical channel: thermal and mass transfer effects

Chemical reaction, Dufour and Soret effects on the stability of magnetohydrodynamic blood flow conveying magnetic nanoparticle in presence of thermal radiation: A biomedical application

This paper aims to explore the new application of an intelligent numerical computational procedure based on neural networks backpropagated with the Levenberg–Marquardt scheme (NNBLMS) to investigate the thermal radiation effects on magnetohydrodynamics (MHD) flow with heat and mass transfer over a rotating porous disk in the presence of Dufour and Soret effects. The basic nonlinear coupled PDEs of thermal radiation effects on MHD flow with heat and mass transfer over a rotating porous disk in the presence of Dufour and Soret effects flow model are turned into a similar nonlinear ODE system utilizing similarity variables. A collection for NNBLMS is generated using Adam’s numerical procedure for various scenarios by varying Dufour’s number, radiation parameter, porosity parameter, Soret number, suction parameter, concentration buoyancy parameter, and Joule heating parameter. The solution of the proposed model is obtained for numerous scenarios, the NNBLMS testing, training, and validation procedures are functional, and the outcomes are associated with allusion consequences to validate the correctness of the recommended NNBLMS. The suggested NNBLMS is useful for the study and comprehension of the given flow model, as demonstrated by the error histogram, regression study, and mean square error.

An analysis of the hydromagnetic flow of an incompressible Casson fluid through a vertical channel with insulated walls is considered. Influences of induced magnetic field, thermal radiation, heat sink, first-order chemical reaction, and viscous dissipation are accounted. The resulting simultaneous coupled equations are solved by using the perturbation technique. The influences of pertinent parameters on fluid velocity, temperature, concentration, induced magnetic field, induced current density, Nusselt number, skin frictions, and mass flux are discussed. It is observed that the Casson parameter and radiation parameter improves the fluid velocity, the Nusselt number, and the skin friction at the two isolated walls. The induced magnetic field in the midline of the channel reduces due to the influences of the chemical reaction parameter and the heat sink parameter, while the Casson parameter increases. The mass flux of the system improves with the Casson parameter, radiation parameter, and chemical reaction parameter.

PurposeThis research investigates the impact of Dufour effects and viscous dissipation on unsteady magnetohydrodynamic (MHD) natural convection in an incompressible, viscous, and electrically conductive fluid over a vertically oscillating flat plate. The study highlights the significance of magnetic fields in influencing thermal and mass transfer, particularly in the context of thermal radiation. Computational fluid dynamics method including finite difference or finite element techniques can be used to crack the governing equations of the fluid flow. In this work, we used the finite element method (FEM) numerical technique to analyze the numerical behavior of unsteady boundary layer flow of Casson fluid with natural convection past an oscillating vertical plate. Key parameters such as skin friction, temperature, concentration, velocity and Sherwood numbers are derived and analyzed. The results demonstrate that viscous dissipation significantly elevates the fluid temperature, while an increase in the radiation parameter is associated with a decrease in internal friction at the plate. These findings provide critical insights into the interplay between thermal radiation and magnetic fields in MHD flows, with potential applications in engineering systems involving heat and mass transfer, such as cooling systems and material processing. This study underscores the importance of understanding these dynamics for optimizing the performance of MHD applications in various industrial settings.Design/methodology/approachThe mainly authorized and energetic FEM to explain the non-linear, dimensionless partial differential equations (11–13) via equation with boundary conditions (14) makes use of Bathe (36), Reddy (37), Connor (38) and Chung (39). Following are the key steps that make up the method: discretize the domain, derivation of element equation, assembly of element equation, imposition of boundary condition and solution of assembly equation.FindingsThis study examined the impact of viscid dissipative radiation and the Dufour effect on unsteady one-dimensional MHD natural convective flow of a viscous, incompressible, electrically conducting fluid past an infinite moving vertical flat plate with a chemical reaction. Numerically solving the governing equations using the FEM approach is efficient and precise, aiming to be applied to fluid mechanics and related problems. Along with their effects on temperature, concentration and velocity, the following parameters are included: the mass Grashof number, the Soret number, the Grashof number, the Prandtl number, chemical reaction, the Schmidt number, radiation and the Casson parameter. Both the Grashof numbers of thermal and mass rates (Gr, Gm) make an increment in the velocity region. The velocity decreases with an increase in the magnetic parameter. The velocity increases with an increase in the permeability of the porous medium parameter. The temperature flow rate is higher for both Dufour and Viscid dissipation, while a decrement is noted of both Prandtl number and radiation effects. The decrementing behavior of the concentration region is observed at supreme inputs of chemical reaction coefficient and Schmidt number.Originality/valueThis is an original paper and not submitted anywhere.

An analysis is carried out to study the effects of chemical reactions, heat, and mass transfer on nonlinear magnetohydrodynamic (MHD) boundary layer flow over a wedge with a porous medium in the presence of Ohmic heating and viscous dissipation. The fluid is assumed to be incompressible, viscous, electrically conducting, and Boussinesq. A magnetic field is applied transversely to the direction of the flow. A numerical solution for the steady MHD laminar boundary layer flow over a wall of the wedge with suction in the presence of species concentration and mass diffusion has been obtained by transforming the governing equations to nonlinear ordinary differential equations through similarity transformations and further utilizing the R. K. Gill method. Numerical calculations up to the third level of truncation are carried out for different values of dimensionless parameters of the problem under consideration. An analysis of the results obtained shows that the flow field is influenced appreciably by the strength of the magnetic field, chemical reactions, and suction at the wall of the wedge.

Present numerical study examines the heat and mass transfer characteristics of magneto-hydrodynamic Casson fluid flow between two parallel plates under the influence of thermal radiation, internal heat generation or absorption and Joule dissipation effects with homogeneous first order chemical reaction. The non-Newtonian behaviour of Casson fluid is distinguished from those of Newtonian fluids by considering the well-established rheological Casson fluid flow model. The governing partial differential equations for the unsteady two-dimensional squeezing flow with heat and mass transfer of a Casson fluid are highly nonlinear and coupled in nature. The nonlinear ordinary differential equations governing the squeezing flow are obtained by imposing the similarity transformations on the conservation laws. The resulting equations have been solved by using two numerical techniques, namely Runge-Kutta fourth order integration scheme with shooting technique and bvp4c Matlab solver. The comparison between both the techniques is provided. Further, for the different set physical parameters, the numerical results are obtained and presented in the form of graphs and tables. However, in view of industrial use, the power required to generate the movement of the parallel plates is considerably reduced for the negative values of squeezing number. From the present investigation it is noticed that, due to the presence of stronger Lorentz forces, the temperature and velocity fields eventually suppressed for the enhancing values of Hartmann number. Also, higher values of squeezing number diminish the squeezing force on the fluid flow which in turn reduces the thermal field. Further, the destructive nature of the chemical reaction magnifies the concentration field; whereas constructive chemical reaction decreases the concentration field. The present numerical solutions are compared with previously published results and show the good agreement.

The analysis of unsteady MHD flow over a porous stretching plate is critical for various engineering applications, particularly in systems involving chemical reactions and thermal radiation. This study explores the novel effects of heat and mass transfer in a two-dimensional unsteady magnetohydrodynamic (MHD) flow. This present work examines the effects of radiation and a transverse magnetic field on a chemically reacting fluid flowing over a stretched plate. The unsteady nature of the flow is associated with the time-dependent variations in stretching/extending velocity, temperature, and fluid concentration. The nonlinear governing boundary layer partial differential equations (PDEs) are transformed into a set of nonlinear ordinary differential equations (ODEs) using a similarity transformation, which are then numerically solved using the MATLAB bvp4c method. The flow, heat, and concentration profiles are quantitatively analysed through graphs for various problem parameters, including the unsteadiness parameter (A), Hartmann number (M), porosity parameter (Sp), radiation parameter (N), chemical reaction parameter (K), Soret number (Sr), Eckert number (Ec), Schmidt number (Sc), and Prandtl number (Pr). Additionally, the skin friction coefficient, Nusselt number (Nu), and Sherwood number (Sh) are numerically addressed and illustrated using graphs.

This research article presents the magnetohydrodynamic Casson fluid flow through an extending surface embedded in a porous medium. Furthermore, the Casson fluid flow is investigated under the effects of thermal radiation, Joule heating, viscous dissipation, and chemical reaction. The analytical solution of the modeled problem is utilized with the help of homotopy analysis method (HAM). The convergence region of the applied technique is portrayed graphically. The impacts of the embedded factors on the flow profiles are exhibited with the help of figures. Furthermore, numerical values of the surface drag force, heat, and mass transfer rates are highlighted via table. The results show that the augmented Darcy number, Casson and magnetic parameters have declined the velocity profile of the Casson fluid flow. Growth in Brownian motion augments the chaotic motion amongst the particles due to which the kinetic energy of the particles transforms to heat energy which consequently augmented the thermal profile, while reduced the concentration profile. The mass and energy profiles are positively effects with the increment of thermophoresis term. And the growing values of chemical reaction and Lewis number cause a reduction in the diffusivity of mass of fluid due to which less transfer of mass takes place that weakens the concentration layer thickness and declines the concentration profiles.

Effectiveness of heat and mass transfer in packed beds of liquid desiccant system

Stability analysis of magnetohydrodynamic Casson fluid flow and heat transfer past an exponentially shrinking surface by spectral approach

The present paper interprets the unsteady magnetohydrodynamic (MHD) flow with heat and mass transfer over a stretching sheet embedded in a horizontal porous medium. The effects of viscous and Darcy dissipation, heat source, and chemical reaction is elaborately discussed in the presence of multiple slip effects for velocity, temperature, and concentration. Introducing a similarity transformation, the governing partial differential equations are transformed into a system of nonlinear, coupled partial differential equations. The asymptotic analytical solutions are obtained by using double-parameter transformation perturbation techniques and, compared with the numerical results and the verification of the computational code made with the earlier works, serves as the benchmark of reliability of the present study. The important findings reported herein are: porosity acts as an aiding force for the fluid velocity, more dissipative heat leads to higher velocity and temperature, chemical reaction parameter adversely affects the concentration. The main motivation behind this study is to perform the fluid flow, heat, and mass transfer analysis of a Newtonian fluid with mixed MHD flow, which has important applications in many industries, in particular, the process of extrusion/layer of fluid dispersed with solutal particles is extruded over other materials to increase the strength and durability of the final product.

This research explores the dynamics of Magneto-Hydrodynamic (MHD) flow, thermal, and mass transfer in Williamson nanofluids, considering a variety of factors such as magnetic field intensity, Williamson non-Newtonian coefficient, diffusivity proportion, heat capacity ratio, Prandtl number, and Eckert number. The MHD flow was represented in two dimensions and addressed through the shooting method, offering a deeper understanding of the impacts of viscous dissipation, thermal transfer, and concentration spread in nanofluid systems. The research demonstrates that elevating the magnetic field intensity diminishes fluid speed while amplifying temperature and concentration distributions, owing to the augmented Lorentz force. Moreover, an elevated Williamson non-Newtonian parameter diminishes fluid velocity yet amplifies heat and mass transfer efficacy, whereas a rise in the diffusivity ratio improves temperature and lowers concentration. Moreover, an elevated ratio of heat capacities leads to a rise in temperature, suggesting that nanoparticles enhance the thermal storage potential of the nanofluid. The influence of the Prandtl number on the thickness of the boundary layer and the distribution of temperature was noted, with an elevated Prandtl number resulting in a more slender thermal boundary layer. Ultimately, the impact of the Eckert number on viscous dissipation underscored its crucial contribution to elevating the temperature. These discoveries provide significant perspectives for enhancing MHD nanofluid movement across diverse engineering utilisations. DOI: https://doi.org/10.17762/ijisae.v12i1.7794

A numerical computation to analyze the heat and mass transfer mechanism of a magnetohydrodynamic radiative Casson fluid flow over a wedge in the presence of Joule heating, viscous dissipation, and chemical reaction is carried out in this study. The flow‐governing partial differential equations are transformed as ordinary differential equations by relevant similarity transformations and subsequently resolved by Runge–Kutta numerical approach with a shooting technique. The characteristics of momentum, thermal, and concentration border layers due to various influencing parameters are graphically outlined and numerically computed by MATLAB software. We present comparative solutions to construe the relative outcomes of Casson fluid versus Newtonian fluid. Computational outcomes of friction factor and Nusselt and Sherwood numbers are tabulated with suitable interpretations. An increase in skin friction values is noted due to an increment in the thermal Grashof number, whereas a decrease is observed due to the chemical reaction parameter. The Casson fluid displays a superior heat transfer mechanism than the Newtonian fluid. Obtained outcomes are in good agreement with the prevailing literature in the limiting case.

Bioconvective MHD flow of Williamson nanofluid with swimming microorganisms and cross-diffusion effects induced by nonlinear stretching surface in porous media

Motivated by the need to comprehend and optimize complex fluid flow phenomena in various engineering and industrial applications, this paper investigates the magnetohydrodynamic (MHD) Casson fluid flow characteristics in the vicinity of a stagnation point over an inclined porous surface. The study addresses the interplay of permeability, viscous dissipation, buoyancy, and volumetric heat source, chemical reaction of the diffusion species, thermal slip, and obliqueness at the bounding surface. The governing equations are transformed into a dimensionless form using appropriate similarity transformations. The resulting nonlinear ordinary differential equations are solved numerically using the fourth-order Runge-Kutta method, coupled with the shooting technique as coded into the bvp4c solver of MATLAB 2021a. Findings from this study show that instability arises due to reduced velocity at low permeability, and Biot number enhances the Newtonian cooling at the surface, a requirement for the design of heat exchangers.