MHD Casson Fluid Research Articles

MHD Casson Fluid with Radiative Heat and Mass Transfer past an Impulsively Moving Inclined Plate

This paper explores the flow of Casson fluid that passes a moving inclined plate with the influence of double diffusions and radiation, where the fluid is imposed electrically conductive and moves through a porous medium. Several suitable non-dimensional variables are suggested in the model using partial differential equations with initial and boundary conditions. The corresponding non-dimensional governing equations are solved with the help of Laplace transform method. Analytical solutions to momentum, energy, and concentration are obtained, and the expression is in exponential and complementary error functions of Gauss. Finding solutions is limited to similar solutions for previous studies on Casson and viscous fluids as a special case. Computations are performed, where the outcomes are examined for embedded flow parameters.

Exploring magnetic and thermal effects on MHD bio-viscosity flow at the lower stagnation point of a solid sphere using Keller box technique

The study of liquid comprising nanoparticles for energy transmission characteristics has gained prominence due to its diverse real-life applications in different energy systems. Recently, scientists have been endeavoring to introduce a new type of liquid, despite the already proven effectiveness of Nano liquid's thermal efficiency. To meet the demands of various engineering and industrial applications, scientists have developed a new class of liquid called hybrid Nano liquid by dispersing two types of nano-sized particles in a regular liquid. Given the significance of hybrid Nano liquid in this study, we have considered (titanium dioxide, sodium alginate, silver) and (graphite oxide) in an MHD Casson fluid (bio-viscosity blood) near the lower stagnation point of a solid sphere. Additionally, this research addresses thermal radiations and the effects of magnetic fields. For the numerical results of the proposed ODEs, the Keller box method was employed. Engineering quantities obtained from this investigation are discussed in tables. From the observed graphs, it is evident that the velocity of the liquid near the lower stagnation point decreases as the magnetic effects increase.

MHD Casson fluid flow with chemical reaction and suction in a porous medium over an exponentially stretching sheet

MHD Casson fluid flow with chemical reaction and suction in a porous medium over an exponentially stretching sheet was studied. The mathematical problem was solved numerically using shooting technique with fourth order Runge-Kutta method after converting the resulting partial differential equations to a system of ordinary differential equations and applying similarity transformation on the latter. The effects of some fluid parameters on the momentum and concentration profiles are examined through graphs using MATLAB. The results from the graphs show that increase in the values of Casson parameter decreases the velocity profiles and causes increase in the concentration profiles. The momentum boundary layers decrease while the solute boundary layers increase with increasing values of magnetic parameter and the permeability parameter. The concentration profile reduces with increasing values of reaction parameters.

Unsteady MHD Casson Fluid Through a Porous Medium over an Inclined Plate in the Present of Chemical Reaction

The unsteady of MHD Casson fluid flow through an infinite inclined plate in the presence of chemical reaction is investigated. In this research, Casson fluid model is choose to be used in this study to characterize the non-Newtonian fluid behaviour. We are employed the Laplace transform technique with an appropriate boundary condition to convert the governing partial differential equations into ordinary differential equations. All the transformed equations are then solved numerically by using Mathematica. Finally, we were obtained the exact solution of momentum, energy and concentration of the cases. The results of flow features for different values of the governing parameters, unsteadiness parameter, Casson parameter are analysed in graphs and has been discussed in the result section. The results presented that fluid velocity rises with the increment of magnetic parameter due to the present of Lorentz force. Lorentz force helps in reducing heat for electronic system and radiators. Furthermore, the increasing of inclination angle and chemical reaction make the velocity increases. The result for Casson fluid explained that this fluid helps to lower the resistance of the yield stress so that the velocity become higher.

Investigation of dissipative heat transfer and peristaltic pumping on MHD Casson fluid flow in an inclined channel filled with porous medium

A theoretical investigation is performed for free convective peristaltic pumping of a Casson fluid through an inclined porous wavy channel. The flow is subjected to uniform magnetic field in the transverse direction. In addition, the energy equation contains porous and viscous dissipation effects. The governing flow problem is modeled for Casson fluid with the help of conservation laws of mass, momentum, and energy under the long wavelength assumption. Using a regular perturbation method, we obtained the analytical expressions for the axial velocity, temperature, pressure rise per one wavelength, and heat transfer rate. The consequences of various effects on the flow quantities are demonstrated in the form of graphical representations and discussed in detail. The findings reveal that the rise in the thermal Grashof number and permeability parameter leads to an increment in the velocity and thermal fields. The heat transfer rate strengthened when the Casson parameter and magnetic parameter were increased. The pressure rise exhibits an enhancing trend for the Brinkmann number and permeability parameter. Further, we observed a decreasing behavior on streamlines for increasing magnetic field strength. Moreover, the obtained findings are applicable to a variety of fields in the bioengineering and medical sciences, such as targeted drug delivery, heart-lung machines, MRI, cancer therapy, power conversion devices, and micromanufacturing processes.

Radiation Absorption and Diffusion Thermo Effects on Unsteady MHD Casson Fluid Flow Past a Moving Inclined Plate Embedded in Porous Medium in the Presence of Chemical Reaction and Thermal Radiation

The aim of the present paper is to investigate the effects of Radiation absorption and diffusion thermo on unsteady magnetohydrodynamic Casson fluid flow past an inclined permeable moving plate in Presence of thermal radiation, heat absorption and homogenous chemical reaction. The plate is assumed to be embedded in a uniform porous medium and Moves with a constant velocity in the flow direction in the presence of a transverse magnetic Field. The equations governing the flow are transformed into a system of nonlinear ordinary differential equations by using perturbation technique. Graphical results for the velocity distribution, temperature distribution and concentration distribution based on the numerical solutions are presented and discussed. Also discuss the effects of various parameters on the skin-friction coefficient and the rate of heat transfer in the form of Nusselt number and rate of mass transfer in the form of Sherwood number at the surface. Velocity and temperature distribution is observed to increase with an increase in radiation absorption and Dufour parameter, whereas diminishes with enhances of Magnetic field, heat absorption coefficient, radiation parameter and chemical reaction parameter in respective velocity, temperature and concentration distributions.

Time fractional Yang–Abdel–Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction

This present research article investigates the exact analytical solution for the mathematical model of the generalized Casson fluid flow by using the new fractional operator with Rabotnov exponential kernel i.e. Yang–Abdel–Cattani operator. The impacts of heat source, magnetic hydrodynamics and chemical reactions on the flow of fractional Casson fluid through a vertical flat plate are studied in this article. For the sake of a better interpretation of the rheological behavior of Casson fluid we have used the new operator of fractional order with exponential kernel of Rabotnov known as Yang–Abdel–Cattani operator of fractional derivative. By making use of the technique of Laplace transform we have find the exact analytical solution of the problem in the Mittag–Leffler’s form, for all the three governing equations i.e. Velocity, energy and concentration equation. It has been noticed from the literature that it is challenging to obtain analytical results from fractional fluid model derived by the various fractional operators. This article helps to address this issue by providing analytical solutions for fractionalized fluid models. To analyze the physical importance of different fluid parameters such as Schmidt number, Prandtl number, MHD and alpha on the heat, mass and momentum class are presented through graphs. The concentration of the fluid decreases with Schmidth number and temperature of the fluid decreases with the increasing Prandtl number. The velocity of the fluid decreases with increasing MHD effects and increases with increasing Alpha. The Yang–Abdel–Cattani operator of fractional order can describe the memory effects more suitably than the other fractional operators.

Exploration of heat and mass transfer on 3-D radiative MHD Casson fluid flow over a stretching permeable sheet with chemical reaction

The goal of this study is to determine the effect of chemical reaction, radiation, and Prandtl number on 3-D MHD Heat transfer Casson fluid flow through a linearly porous stretched surface. When studying the effects of thermal radiation, the Roseland approximation is utilized since it factors the radiation impact into the energy equation. Due to its many commercial uses and significant influence on a wide range of production processes, heat transfer past a stretched sheet has garnered interest recently. They include power plants, heat exchangers, MHD generators, aerodynamics, plastic sheet extrusion, condensation, and metal spinning. Using similarity variables, the governing equations & allied boundary conditions are simplified to a dimensionless form, and then the problem is solved using the Runge-Kutta-Fehlberg strategy. The reliability and precision of this Runge-Kutta-Fehlberg strategy is shown graphically for a range of relevant parameters and conditions. A comparison of our numerical findings with data that had been formerly published reveals that both sets of data are quite compatible with one another. The results of the current research contribute to the regulation of heat transfer rates and fluid velocities in various manufacturing processes and industrial applications, hence facilitating the production of required quality in the final product.

Heat transfer and entropy optimization for unsteady MHD Casson fluid flow through a porous cylinder: Applications in nuclear reactors

Heat transfer and entropy generation are crucial considerations in the nuclear industry, where the safe and efficient transfer of heat is essential for the operation of nuclear reactors and other nuclear systems. Casson fluid is a useful tool in the nuclear industry for simulating the flow behavior of nuclear fuels and coolants, and for optimizing the design and operation of nuclear reactors. In view of this, the current investigation deals with the heat and fluid flow of unsteady Casson fluid in a circular pipe under the influence of magnetic field, internal heat generation, entropy generation and porous media. The governing equations have been simplified under suitable assumptions and nondimensional quantities. The simplified dimensionless governing equations have been solved using the method of separation of variables along with Bessel functions. It is concluded from the investigation that the temperature increases with time. The Casson fluid parameter raises the temperature and entropy generation. The temperature, entropy generation and Bejan number are the decreasing functions of the Prandtl number.

Dynamics of MHD Casson fluid in non-Darcy porous medium: The impact of thermal radiation, Dufour–Soret, and chemical reaction

In this research, the dynamics of MHD Casson fluid flow has been discussed in the presence of non-Darcy Forchheimer porous medium. The investigation is focused on how thermal radiation, Soret–Dufour, and chemical reactions affect the incompressible Casson flow in a non-Darcy Forchheimer porous medium, taking account of pressure force. The mathematical model of the system is solved using the finite difference scheme followed by the shooting technique with bvp4c tool in MATLAB. The effects of physical parameters on velocity and transport (heat and mass) profile are illustrated through graphs. From the results, it is observed that Soret effect reduces the thermal boundary layer thickness which leads to the asymptotic increase in heat dissipation. The findings of the study on MHD Casson fluid model considering the non-Darcy Forchheimer porous medium are useful in engineering and science areas such as chemical machinery systems, geophysics, etc.

Entropy generation effects with thermal radiation on MHD Casson fluid flow in porous micro-annulus

The study of entropy generation analysis on natural convection non-Newtonian (Casson) fluid flow between two concentric cylinders/tubes is evaluated in this article. The influence of the external magnetic field normal to the flow direction with thermal radiation is analyzed on the porous surface of cylinders under the condition of Casson velocity slip and thermal jumps. The non-dimensional momentum equation of Casson fluid (CF) is solved analytically by using a modified Bessel equation containing rational number order of first and second kinds, and the energy equation is solved by using the Cauchy-Euler equation. This analysis aims to find out the loss of energy of CF flow within two cylinders and present the combinations of some parameters through which it can be minimized. Volume flow rate, entropy heat generation and irreversibility parameter are evaluated through different parameters such as the Casson parameter (CP), magnetic field parameter, Reynolds number, Brinkman number and Grashof number. Velocity is diminished for the increment of CP [Formula: see text] Volume flow rate descends with the enhancement of M and [Formula: see text] Entropy generation increased with elevation of [Formula: see text] and [Formula: see text] but reverse effects are found through higher values of [Formula: see text] Moreover, [Formula: see text] is reduced due to magnetic field and group parameter. At the end, a comparison of the velocity profile for [Formula: see text] with Abbas et al. (2019) and the volume flow rate for M with Jha et al. (2015) is established.

Entropy generation on an MHD Casson fluid flow in an inclined channel with a permeable walls through Hermite wavelet method

The current work provides a theoretical investigation of permeability effects on channel walls. The entropy generation in an incompressible Casson fluid flowing through an inclined penetrable channel which is under the magnetic action is numerically investigated by transforming the governing equations into a system of ODEs using non-dimensional parameters. The Hermite wavelet method is used to solve the achieved nonlinear coupled equations. Velocity, temperature, and entropy generation profiles are analyzed graphically and in addition, graphs are employed to assess the Bejan number, Nusselt number, and skin friction coefficient for a scale of various values of physical parameters. The results are evident that for increasing the Biot number, Grashof number, and Casson parameter entropy generation increases. The entropy production is suppressed when the Eckert number is enhanced. The dual nature of entropy generation is observed due to varying magnetic values. Our findings obtained from the present method are compared with other results available in the literature and is found that it is in good correlation with the existing one.

Hydrodynamic Stability Analysis for MHD Casson Fluid Flow through a Restricted Channel

Flow instability is a major challenge experienced in medical, engineering and industrial settings globally. For instance, flow instability linked with irregular cardiac output of the heart leads to organ malfunctioning in the medical field, it also encourages mechanical vibrations in the case of fluctuating flow rate, and several other applications. In this study, linear stability analysis is conducted to monitor the behavior of a small disturbance that is imposed on hydromagnetic Casson fluid that flows steadily through a saturated porous medium. A new variant of the Orr-Sommerfield equation is obtained and solved numerically by using spectral point collocation weighted residual approach with eigenfunction expansion of the Chebyshev polynomial as the admissible trial function. Based on the QZ algorithm, numerical results are obtained for wave and Reynold’s numbers, wave velocity as functions of Magnetic field intensity and porosity shape parameters. Results are validated against previously released data. The biophysics of the heart, particularly in cardiac rhythm analysis, as well as several other medicinal and technical applications, is among the areas where the current work has applicability.

A Model on Free Convective Casson Fluid Flow Past a Permeable Vertical Plate with Gyrotactic Microorganisms

This study focused on free convective MHD Casson fluid flow past a permeable vertical plate with microorganisms and Soret-Dufour mechanisms. The physical model is governed by system of partial differential equations (PDEs). The set of PDEs were overhaul into a nonlinear ordinary differential equation by considering acceptable similarity variable. The spectral relaxation method (SRM) was utilized to obtain solution to the overhaul nonlinear ordinary differential equations. This study examined critically the significant of the Gyrotactic microorganisms on Casson fluid locomotion Also, the significance of parameters such as thermal radiation, Soret-Dufour mechanisms, Brownian motion, Joule heating and so on are examined on velocity, concentration, motile microorganism and temperature profiles. The Casson parameter was found to intensify the velocity contour and the hydrodynamic boundary layer thickness. A higher magnetic parameter gives rise to Lorentz force which declines the motion of the fluid. There is higher temperature within the boundary layer because of the presence of thermal radiation.

Natural Convection Flow of Radiative Casson Fluid Past a Stretching Cylindrical Surface in a Porous Medium with Applied Magnetic Field and Joule Heating

This study is based on the exploration of MHD Casson fluid flow past a stretching cylinder in the presence of non-uniform heat generation, thermal radiation and Joule heating. Boussinesq approximation is also put into consideration due to density difference in the fluid. The governing equations and their corresponding boundary conditions are changed into system of ordinary differential equations with the aid of appropriate similarity variables. The obtained ordinary differential equations are solved numerically using Runge-Kutta Fehlberg method alongside shooting technique. The flow and thermal fields are investigated in the presence of emerging parameters, namely Grashof number, Prandtl number, radiation parameter, curvature parameter, Eckert number, Casson parameter, permeability parameter, magnetic number, space and temperature dependent heat generation parameter. In this study, enhancement in velocity distributions is noticed as values of Grashof number grow but velocity profiles are depreciated by permeability parameter and curvature parameter.

A Computational Analysis on Steady MHD Casson Fluid Flow Across A Vertical Porous Channel Affected By Thermal Radiation Effect

This article investigates the MHD free convection flow of a Casson fluid that is electrically conductive, affected by thermal radiation effect in a vertical porous channel. The resulting solutions of the leading differential equations describing the velocity and temperature flows characteristics are obtained analytically using regular perturbation method. The actions of Casson fluid parameter, magnetic field effect, thermal radiation parameters on the velocity field, temperature distribution, skin friction coefficient and rate of heat transfer has been presented for relevant temperature jump and velocity slip conditions. The results obtained revealed that by taking varying values of the major controlling parameters, such as Casson parameter, thermal radiation parameter, magnetic field effect, rarefaction parameter and wall ambient temperature difference ratio parameter, the velocity and temperature profiles are substantially influenced. Additionally, when the Casson parameter is set to be 1000, the numerical computations of these findings agree very well with those of Abbas et al., 2020.

Unsteady MHD Casson fluid flow with Dufour and Soret’s effects due to a rotating cone

This study discusses the unsteady Casson fluid flow over a rotating cone. The effects of Dufour and Soret, MHD, mixed convection, thermal radiation and chemically reactive species are also considered. The modeled governing equations are solved by using the Homotopy technique. We start the analysis by comparing the current results with the existing literature work on a limited intellect. The effects of different physical parameters on concentration, velocity and temperature are analyzed and presented graphically. The effects of the skin friction, Nusselt number and Sherwood number for various parameters are presented in a tabular form. The skin friction graph in azimuthal and tangential directions is a reverse function of the unsteady parameter.

Radiative and viscid dissipative flowing influences on heat and mass transfer in MHD Casson fluid employing Galerkin finite element style

This work employs a numerical calculation to investigate the heat and mass transfer process of a hydromagnetic radiative Casson fluid flowing through a vertical plate in the presence of heat generation, viscid dissipation and chemical processes. The governing dimensional partial differential equations (PDE) for considered Casson fluid are first converted into dimensionless PDE utilizing proper variables. The obtained system is then computed using Galerkin finite element method (G-FEM). The approximated results for different parameters are shown through curves and tables. The impact of dimensionless parameters is visualized on fluid velocity, fluid temperature, fluid concentration, Nusselt number and skin friction. The heat transmission mechanism of Casson fluid is superior to that of the Newtonian liquid. In the limited scenario, the study findings are in excellent accord with the existing literature.

Heat and Mass Transfer Effects on MHD Casson Fluid Flow of Blood in Stretching Permeable Vessel

Heat and Mass Transfer Effects on MHD Casson Fluid Flow of Blood in Stretching Permeable Vessel

An MHD Casson fluid flow past a porous stretching sheet with threshold Non-Fourier heat flux model

The present paper investigates the magnetohydrodynamics Casson fluid flow with porous medium. The Cu-water nanofluid is used to investigate further analytical results. Thermal radiation is considered along with the Cattaneo-Christov heat flux model and then solved analytically, then expresses the closed forms analytical solution in terms of two variables of hypergeometric function. The special form of Appell hypergeometric solutions are closed form of analytical solutions. The results of normalized shear stress at the wall and temperature profile, and rate of heat flux can be analyzed with suitable parameters, Viz., relaxation time parameter, Prandtl number, Radiation parameter, Magnetic parameter, and so on. The newness of the current work's novelty is to explain a solution to issues with stretching sheets on the basis of Appell hypergeometric form and also investigation takes place on a time relaxation parameter. The shear stress fηη0 is also calculated analytically. This problem has many industrial applications and engineering processes, namely glass-fiber production, extrusion of rubber sheets and so on. Finding that an increase in the thermal relaxation parameter and Prandtl number keeps the fluid temperature constant is the primary physical application.