MHD Viscous Fluid Research Articles

Optimization of mass and heat flux of MHD viscous fluid flow with constant proportional Caputo derivative by using response surface methodology: Sensitivity analysis

The study of viscous dissipation in the context of unsteady incompressible magnetohydrodynamic viscous fluid flow over a moving plate is a complex and important topic in fluid dynamics and heat transfer. This scenario combines several physical phenomena and has practical applications in various engineering and scientific fields. The fractional mathematical model is proposed by considering the effect of viscous dissipation force of the flowing fluid. For this purpose, fluid is assumed to be lying over a vertical plate that is moving in its own plane. The governing equations are transformed into the dimensionless form and developed fractional model with a new operator Constant Proportional Caputo Derivative. We used the Laplace transform technique to find the solution of the dimensionless governing equation analytically. The transformed solutions for energy and momentum balances developed in terms of series. The validation of the present model comparison graphs is plotted for temperature. The sensitivity of different input parameters on output response are analyzed and displayed the sensitivity results in tabular and graphical form and found that the permeable parameter is most sensitive to skin friction coefficient, and the Eckert number is most sensitive parameter among others to Nusselt Number. The novelty of present work is to develop a correlation between input parameters and output responses by using Response Surface Methodology (RSM). As no such correlation has been developed for optimization of mass and heat flux of MHD viscous fluid flow with Constant Proportional Caputo derivative by using RSM. By using this correlation, we have performed sensitivity analysis for output responses.

Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method

This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A flow model of MHD viscous incompressible fluid inside a filter is studied to seek semi-analytical solutions which are analysed to find flow and heat dynamics that lead to optimal outflow (maximum filtrates) during filtration. Lie group method is used to reduce a system of four partial differential equations describing fluid flow and temperature distribution inside the filter chamber to a system of two ordinary differential equations. The reduced system is then solved by perturbation process to obtain semi-analytical solutions for flow velocity and temperature variation inside the chamber. To understand the flow dynamics and heat distribution of the underlying case study better, the influence of different parameters during filtration resulting from the filter design, flow dynamics and heat effects are graphically presented and analysed in order to identify a combination of flow parameters that yields the best filtration process. The findings show that to maximise filtrates production, more fluid injection is required during filtration. Moreover, from the findings, it is evident that the temperature increase inside the chamber arising from the Joule heating effect is ideal since it increases internal work done and hence increases filtrates production.

Finite difference scheme of time-dependent MHD viscous fluid flow

In this paper, we investigate time-dependent viscous fluid flow along a stretching horizontal plate with a magnetic field, viscous dissipation and chemical reaction are taken into account. A system of partial differential equations (PDEs) governs the flow problem. Using dimensionless variables, system of governing PDEs is transformed to dimensionless form. Finite difference method is the numerical method adopted for solving the system of PDEs with initial and boundary conditions. The impact of potential variables is examined and displayed graphically. The results suggest that greater Hartmann number reduces velocity and temperature, whereas raising chemical reaction parameter decreases concentration profile. Moreover, skin friction increases with Hartmann number values and Nusselt number, showing increase for growing Eckert and Prandtl numbers.

Group theoretic transformation techanique for MHD viscous fluid with heat transfer over a non-linear porous surface

Using group theoretic transformation technique, class of similarity solution of heat transfer for MHD boundary layer flow of viscous fluid over a non linear porous surface. This similarity equation which is highly nonlinear ordinary differential equations which is solved numerically for particular fluids so called power-law fluids. The results obtain are found in good agreement with those available in literature.

New solutions of generalized MHD viscous fluid flow with thermal memory and bioconvection

New solutions of generalized MHD viscous fluid flow with thermal memory and bioconvection

Double-Diffusive MHD Viscous Fluid Flow in a Porous Medium in the Presence of Cattaneo-Christov Theories

The Cattaneo-Christov model will be used to examine the significance of heat generation, viscous dissipation, and thermal radiation on a double-diffusive MHD flow in this study. In this study, it was discovered that heat and mass transfer can be affected by nonlinear buoyancy significance. The flow direction was subjected to a uniform magnetic field. A set of partial differential equations governs the current design (PDEs). In order to simplify these equations, they are converted into ordinary differential equations (ODEs). In order to numerically solve the nonlinear ODEs, the spectral relaxation method (SRM) is utilized. In order to decouple and linearize the equation sets, the SRM employs the Gauss-Seidel relaxation method. Geothermal power generation and underground storage systems are just a few examples where this research could be put to use. When compared to previous findings, the current outcomes were discovered to be closely related. Owing to an increase in Lorentz force, the imposed magnetic field slows down fluid motion. Viscosity dissipation and heat generation all contribute to the formation of an ever-thicker thermal boundary layer. When the Cattaneo-Christov models are used, the thermal and concentration boundary layers get a lot thicker.

Numerical Solution of Mixed Convection MHD Viscous Fluid Flow on Lower Stagnation Point of a Sliced Magnetic Sphere

This paper considers mathematical modeling on mixed convection MHD viscous fluid flow on the lower stagnation point of a magnetic sliced sphere. The study began with transforming the governing equations which are in dimensional partial differential equations to non-dimensional ordinary differential equations by using the similarity variable. The resulting similarity equations are then solved by the Keller-Box scheme. The characteristics and effects of the Prandtl number, the sliced angle, the magnetic parameter, and the mixed convection parameter are analyzed and discussed.

Analysis of non-singular fractional bioconvection and thermal memory with generalized Mittag-Leffler kernel

This paper deals with the application of non-singular fractional operator in the bioconvection flow of a MHD viscous fluid for vertical surface. The Laplace transform method is used for dimensionless governing equations of momentum, energy and diffusion respectively. Classical governing model is extended to non-integer order approach with non-singular kernel which can be used to describe the memory for natural phenomena. The main advantage is to use this fractional operator can it measure the rate of change at all points of the considered interval, therefore, the present fractional operator incorporate the previous history/memory effects of any system. For the prediction of physical behavior of embedded parameters, some graphs are presented in the graphical section. At the end some remarkable results are found. It is found that non-singular fractional operator measures the memory better in comparison with singular fractional operator. Further, on comparison between different kinds of viscous fluid (Water, Air, Kerosene), it is found that temperature and velocity of air is higher than water and kerosene respectively. The results are validated with the recent published work.

Heat Transfer and Flow Attributes of MHD Viscous Fluid Around a Circular Cylinder in Presence of Thermal Radiation

The crux of this paper is to explore heat distribution and motility traits of electrically conducting viscous fluid around a circular cylinder. The flow is two dimensional and is subjected to magnetic field and thermal radiation. Appropriate numeric computing environment is utilized for numerical solution of the set of transformed differential equations obtained using similarity transformation to the governing equations of the problem. The impinges of physical situation and different flow dictating parameters relevant to the problem have been depicted pictorially in the form of graphs. On the basis of these pictorial visualizations, attempts have been made for inferences regarding the problem. Point of separation is procured with respect to pertinent flow traits.

Radiative Non-Coaxial Rotating Flow for Viscous Fluid over Accelerated Disk with MHD and Porosity Effects

An analytical solution to analyze the effects of radiation, magnetic, and permeability in an accelerating non-coaxial rotation phenomenon is not yet reported in the previous studies. Therefore, a radiative mixed convection flow for non-coaxial rotating MHD viscous fluid in a porous medium past an accelerated disk is studied. The fluid motion in this problem is induced by two sources which are rotating and buoyancy force. The dimensional coupled differential equations subjected to initial and accelerated boundary conditions are transformed to the dimensionless equations by utilizing appropriate dimensionless variables. The Laplace transform technique is applied to generate the closed form analytical solution for this problem. The impacts of Prandtl number, Grashof number, radiation, magnetic, porosity, and accelerated parameters on the temperature and velocity fields are illustrated graphically. The velocity and temperature profiles satisfy both the initial and boundary conditions, and the present results are found in accordance to the published work. The velocity is improved with the assistance of acceleration, radiation and porosity, while the implementation of magnetic field causes the opposite effect. Increasing radiation leads to the growth of the thermal boundary layer as well as reducing the heat transmission rate. This result can significantly contribute to the designing of heating systems because the imposition of radiation able to sustain an environment for a specific temperature. The obtained analytical solution can be used to check the correctness of the solution obtained from the numerical and experimental studies.

Flow Features of Thermophoretic MHD Viscous Fluid Flow Past a Converging Channel with Heat Source and Chemical Reaction

A boundary layer flow of an electrically conducting viscous fluid past a converging channel in the presence of thermophoresis, heat source, chemical reaction, viscous dissipation and simultaneous heat and mass transfer characteristics is studied in the paper. An external magnetic field of uniform strength is applied transversely to the channel. The similarity solution has been used to transform the partial differential equations that represent the problem into a boundary value problem of coupled ordinary differential equations, which in turn are solved numerically using MATLAB’s built in solver bvp4c. Numerical computations are carried out to solve the problem and graphical illustrations are made to get the physical insight of the same. The convergent channel flow problem of an incompressible electrically conducting viscous fluid in the presence of a magnetic field has a wide range of applicability in different areas of engineering, specially in industrial metal casting and control of molten metal flow.

Heat Transfer Analysis for Viscous Fluid Flow with the Newtonian Heating and Effect of Magnetic Force in a Rotating Regime

In this article, an unsteady free convection flow of MHD viscous fluid over a vertical rotating plate with Newtonian heating and heat generation is analyzed. The dimensionless governing equations for temperature and velocity fields are solved using the Laplace transform technique. Analytical solutions are obtained for the temperature and components of velocity fields. The obtained solutions satisfy the initial and boundary conditions. Some physical aspects of flow parameters on the fluid motion are presented graphically.

Accelerated Non-Coaxial Rotating Flow of MHD Viscous Fluid with Heat and Mass Transfer

An exact analysis on heat and mass transfer of mixed convection MHD viscous fluid flow due to accelerated non-coaxial rotation is analyzed. This analysis is considered through a porous medium. The rotation and buoyancy forces involved in this problem give effects on the fluid motion. Dimensional momentum, energy and concentration equations are presented in partial differential equations with initial and boundary conditions which then are reduced into non-dimensional form by introducing non-dimensional variables. This problem is analytically solved by using Laplace transform method and the exact solution obtained for velocity, temperature and concentration profile are graphically plotted in order to investigate the impact of Grashof number Gr, modified Grashof number Gm, Prandtl number Pr and Schmidt number Sc as well as accelerated, magnetic and porosity parameter on its behavior. The results show that the increasing acceleration parameter raises the velocity profile while increasing of Prandtl number and Schmidt number leads to a fall in velocity profile. A verification of obtained solution is conducted by comparing present results with published results and it was found to be in a good agreement.

Analysis of MHD viscous fluid flow through porous medium with novel power law fractional differential operator

The present study deals with the unsteady and incompressible viscous fluid flow with constant proportional Caputo type fractional derivative (hybrid fractional operator). We find analytical solutions of a well-known problem in fluid dynamics known as Stokes’ first problem. MHD and porosity are also considered as an additional effects. Using dimensional analysis, governing equations of motion converted into non-dimensional form and then extended with novel fractional operator of singular kernel and series solutions are obtained by Laplace transform method. As a result, we compared present result with all the existing fractional operators and found that momentum boundary layer thickness can be control by changing the value of fractional parameter. Moreover, it is also observed that constant proportional Caputo type operator is well suited in exhibiting the decay of velocity of the fluid than all the existing fractional operators with power law (C), exponential law (CF) and Mittage-Leffler law (ABC).

New trends of fractional modeling and heat and mass transfer investigation of (SWCNTs and MWCNTs)-CMC based nanofluids flow over inclined plate with generalized boundary conditions

In this paper, we have considered unsteady MHD viscous fluid flow of Carboxyl methyl cellulose (CMC) as based fluid and Carbon nanotubes CNTs (SWCNTs, MWCNTs) nanoparticles passing through an inclined plate of infinite length. Furthermore, the effects of heat source, chemical reaction, porosity and MHD are considered. Fractional model is developed by Caputo time fractional derivatives though recent trends of fractional modeling. The semi exact solutions are obtained for the governing equations in dimensionless form by Laplace transform method. Influence of fractional and other flow parameters on temperature, concentration and velocity fields are graphically illustrated. The Nusselt number, Sherwood number and skin friction are computed for fixed values of flow parameters and presented in tabular form. As a result, for larger values of fractional parameters temperature, concentration and velocity fields can be enhanced. A comparison has been drawn between SWCTs-CMC and MWCTs-CMC based nanofluids and found that MWCTs based nanofluids are more efficient in heat transfer than SWCTs-CMC based nanofluids. Further, in the absence of nanoparticles the obtained results are reduced to recently published results and this fact have been proved graphically and they are in good agreement.

Heat Transfer Analysis for Non-linear Boundary Driven Flow Over a Curved Stretching Sheet With a Variable Magnetic Field

A 2-D boundary-layer flow induced by non-linear quadratic stretching of a curved surface of an incompressible MHD viscous fluid is investigated. Heat transfer analysis is presented including viscous dissipation and thermal radiation. Radially variable magnetic field is applied that satisfies the Maxwell’s equation and incorporates the curvature effects. New similarity variable and similarity transformation are introduced to reduce the governing PDE’s into ODE’s. Numerical procedure is adopted to find the solution of momentum and energy equations. The numerical scheme is validated with the existing data. The results are illustrated graphically and discussed physically. The comparison with the literature shows a significant improvement in the existing studies.

Steady MHD Casson Ohmic heating and viscous dissipative fluid flow past an infinite vertical porous plate in the presence of Soret, Hall, and ion‐slip current

AbstractIn the present study, the influence of Hall and ion‐slip current on steady magnetohydrodynamics mixed convective, Ohmic heating, and viscous dissipative Casson fluid flow over an infinite vertical porous plate in the presence of Soret effect and chemical reaction are investigated. The modeling equations are transformed into dimensionless equations and then solved analytically through the multiple regular perturbation law. Computations are performed graphically to analyze the behavior of fluid velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number on the vertical plate with the difference of emerging physical parameters. This study reflects that the incremental values of Casson fluid parameter and Schmidt number lead to reduction in velocity. However, fluid velocity rises due to enhancement of ion‐slip parameter but an opposite effect is observed in case of Hall parameter. In addition, the Sherwood number declines with enhancing dissimilar estimators of the chemical reaction, Schmidt number, as well as Soret number.

Application of fractal fractional derivative of power law kernel (FFP0Dxα,β) to MHD viscous fluid flow between two plates

In this problem, I have studied the application of newly introduced fractal fractional operators with power law kernel in fluid dynamics. We Considered the MHD viscous fluid flow between two plates such that the upper plate is in motion with constant velocity while the lower plate is at rest. The governing equation developed from the problem can be formulated withe fractal fractional derivative operator with power law kernel. The proposed fractal fractional model can be solved by means of Laplace transform technique and obtained exact solutions. To see the impact of magnetic field M, fractional α as well as fractal parameter β on the fluid velocity field, we plotted some graphs through MathCad software and presented in the graphical section. As a result, we found that for larger values of α and β, a decay in velocity of the fluid was observed. Further, fractal fractional model more slow down the velocity of the model in comparison of fractional only. Therefore, a combined approach of fractal fractional explains the memory of the function better than fractional only.

Exact Solutions on Mixed Convection Flow of Accelerated Non-Coaxial Rotation of MHD Viscous Fluid with Porosity Effect

Mixed convection of unsteady non-coaxial rotation flow of viscous fluid over an accelerated vertical disk is investigated. The motion in the fluid is induced due to the rotating and buoyancy force effects. The problem is formulated and extended in terms of coupled partial differential equations with some physical boundary and initial conditions. The non-dimensional equations of the problem are obtained by using the suitable non-dimensional variables. The exact solutions of non-coaxial velocity and temperature profiles are obtained by using Laplace transform method which are satisfying all the initial and boundary conditions. The physical significance of the mathematical results is shown in various plots and is discussed for Grashof and Prandtl numbers as well as magnetic, porosity and accelerated parameters. It is found that, the velocity with the effect of acceleration is higher compared to constant velocity. In limiting sense, the present solutions are found identical with published results.

Thermal analysis of magnetohydrodynamic viscous fluid with innovative fractional derivative

In this study, an attempt is made to investigate a fractional model of unsteady and an incompressible MHD viscous fluid with heat transfer. The fluid is lying over a vertical and moving plate in its own plane. The problem is modeled by using the constant proportional Caputo fractional derivatives with suitable boundary conditions. The non-dimensional governing equations of problem have been solved analytically with the help of Laplace transform techniques and explicit expressions for respective field variable are obtained. The transformed solutions for energy and momentum balances are appeared in terms of series form. The analytical results regarding velocity and temperature are plotted graphically by MATHCAD software to see the influence of physical parameters. Some graphic comparisons are also mad among present results with hybrid fractional derivatives and the published results that have been obtained by Caputo. It is found that the velocity and temperature with constant proportional Capu?to fractional derivative are portrait better decay than velocities and temperatures that obtained with Caputo and Caputo-Fabrizio derivative. Further, rate of heat transfer and skin friction can be enhanced with smaller values of fractional parameter.