MHD Casson Nanofluid Research Articles

A mathematical simulation of unsteady MHD Casson nanofluid flow subject to the influence of chemical reaction over a stretching surface: Buongiorno's model

AbstractIn this study, unsteady boundary layer flow with Casson nanofluid within the sight of chemical reaction toward a stretching sheet has been analyzed mathematically. The fundamental motivation behind the present examination is to research the influence of different fluid parameters, in particular, Casson fluid , thermophoresis , magnetohydrodynamic , Brownian movement , Prandtl numberty, unsteadiness parameter , chemical reaction parameter , and Schmidt number on nanoparticle concentration, temperature, and velocity distribution. The shooting procedure has been adopted to solve transformed equations with the assistance of Runge–Kutta Fehlberg technique. The impact of different controlling fluid parameters on flow, heat, and mass transportation are depicted in tabular form and are shown graphically. Additionally, values of skin friction coefficient, Nusselt number, and Sherwood number are depicted via tables. Present consequences of the investigation for Nusselt number are related with existing results in writing by taking and where results are finding by utilization of MATLAB programming. Findings of current research help in controlling the rate of heat and mass aspects to make the desired quality of final product aiding manufacturing companies and industrial areas.

Pulsating flow of Casson nanofluid through a channel with thermal radiation and applied magnetic field

The pulsating flow of MHD Casson nanofluid flow through a channel with the influence of thermal radiation is studied, considering the nanofluid flow in the vertically upward direction, maintaining the same velocity at the lower wall and upper wall. The perturbation technique was employed to solve the dimensionless expressions of velocity and temperature. The effect of various parameters such as Prandtl number and Casson fluid parameter on flow variables has been discussed.

Non-coaxial rotation flow of MHD Casson nanofluid carbon nanotubes past a moving disk with porosity effect

In this article, the fluid flow and heat transfer on MHD Casson nanofluid influenced by the non-coaxial rotation of moving disk passing through a porous medium is analyzed. A mixture of single-wall and multi-wall carbon nanotubes in the human Casson blood is used as the nanoparticles. Make use of the Laplace transform technique, the analytical solutions of the temperature and velocity profiles are obtained. The results show that the temperature and velocity profiles increase with the incorporation of CNTs. The nanofluid velocity reduces with a higher magnetic strength, but it is improved with the porosity. The imposition of CNTs has descended both primary and secondary skin friction and amplified the Nusselt number. SWCNTs have provided a greater heat transfer rate and skin friction as compared to MWCNTs. The obtained solution is verified when the present results show an excellent agreement with the published results and numerical values by Gaver-Stehfest algorithm.

On solution existence of MHD Casson nanofluid transportation across an extending cylinder through porous media and evaluation of priori bounds

It is a theoretical exportation for mass transpiration and thermal transportation of Casson nanofluid over an extending cylindrical surface. The Stagnation point flow through porous matrix is influenced by magnetic field of uniform strength. Appropriate similarity functions are availed to yield the transmuted system of leading differential equations. Existence for the solution of momentum equation is proved for various values of Casson parameter beta , magnetic parameter M, porosity parameter K_p and Reynolds number Re in two situations of mass transpiration (suction/injuction). The core interest for this study aroused to address some analytical aspects. Therefore, existence of solution is proved and uniqueness of this results is discussed with evaluation of bounds for existence of solution. Results for skin friction factor are established to attain accuracy for large injection values. Thermal and concentration profiles are delineated numerically by applying Runge-Kutta method and shooting technique. The flow speed retards against M, beta and K_p for both situations of mass injection and suction. The thermal boundary layer improves with Brownian and thermopherotic diffusions.

Arrhenius Activation Energy Effect on a Stagnation Point Slippery MHD Casson Nanofluid Flow with Entropy Generation and Melting Heat Transfer

This study features the entropy generation analysis on a steady two-dimensional flow of an incompressible Casson fluid with heat and mass transfer over a heated linearly stretching surface is investigated using a modified Arrhenius activation energy. The appropriate model governing the physical phenomenon is converted into a dimensionless equation with the aid of appropriate transformation and are numerically solved using the spectral collocation method. The present research model is concerned to study the stagnation point slippery flow, heat, and mass transfer analysis of a Casson fluid flow past an elastic surface with the impact of a magnetic field. The study focuses on the influences of Arrhenius activation energy, melting heat transfer, and heat source on heat and mass transfer behavior posed by Casson fluid. The magnitude of skin becomes lesser for larger values of slip parameter while the rate of mass transfer is enhanced via greater values of the destructive chemical reaction. Also, an excellent agreement is shown with previous studies for the limiting case.

Numerical simulation of periodic MHD casson nanofluid flow through porous stretching sheet

The perspective of this paper is to characterize a Casson type of Non-Newtonian fluid flow through heat as well as mass conduction towards a stretching surface with thermophoresis and radiation absorption impacts in association with periodic hydromagnetic effect. Here heat absorption is also integrated with the heat absorbing parameter. A time dependent fundamental set of equations, i.e. momentum, energy and concentration have been established to discuss the fluid flow system. Explicit finite difference technique is occupied here by executing a procedure in Compaq Visual Fortran 6.6a to elucidate the mathematical model of liquid flow. The stability and convergence inspection has been accomplished. It has observed that the present work converged at, Pr ≥ 0.447 indicates the value of Prandtl number and Le ≥ 0.163 indicates the value of Lewis number. Impact of useful physical parameters has been illustrated graphically on various flow fields. It has inspected that the periodic magnetic field has helped to increase the interaction of the nanoparticles in the velocity field significantly. The field has been depicted in a vibrating form which is also done newly in this work. Subsequently, the Lorentz force has also represented a great impact in the updated visualization (streamlines and isotherms) of the flow field. The respective fields appeared with more wave for the larger values of magnetic parameter. These results help to visualize a theoretical idea of the effect of modern electromagnetic induction use in industry instead of traditional energy sources. Moreover, it has a great application in lung and prostate cancer therapy.

MHD Casson nanofluid flow in a square enclosure with non-uniform heating using the Brinkman model

In this investigation, we have examined the flow and thermal characteristics of MHD Casson nanofluid in a square enclosure with non-uniform heat source at the bottom wall using the Brinkman model. Finite volume technique is employed to solve system of nonlinear partial differential equations. Impact of the governing parameters on the local Nusselt number, streamlines and isotherms has been demonstrated. Two counter rotating vortices are seen in the streamlines which result from the buoyancy caused by the variations in fluid temperature along the side of the enclosure with non-uniform temperature distribution. An increase in the Raleigh number results in a sharp rise in the temperature in the middle of the enclosure, whereas the thermal distribution becomes steeper near the enclosure walls. It has been noted that, for higher values of the Rayleigh number, effect of the magnetic field (quantified by the Hartman number) becomes prominent as a force of retardation.

MHD Casson nanofluid flow over nonlinearly heated porous medium in presence of extending surface effect with suction/injection

MHD Casson nanofluid flow over nonlinearly heated porous medium in presence of extending surface effect with suction/injection

Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate

The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature.

Analytical Investigation of Magnetohydrodynamic Non‐Newtonian Type Casson Nanofluid Flow past a Porous Channel with Periodic Body Acceleration

The consequence of periodic body acceleration and thermal radiation in the pulsating flow of MHD Casson nanofluid through a porous channel is addressed. A flow of the nanofluid injected through the lower plate is considered while sucked out through the upper plate with a similar velocity. The thermal radiation term is incorporated in the heat transfer equation. The governing equations corresponding to velocity and temperature are converted from partial differential equations to a system of ordinary differential equations by employing similarity variables. The perturbation technique is applied to solve the governing flow equations. The impact of diverse parameters on flow features is graphically analyzed. The result reveals that adding the nanoparticle has enhanced the velocity profile of the base fluid. Moreover, an increase in the periodic body acceleration results in enlarging velocity and temperature.

Influence of Radiation and Chemical Reaction on MHD Casson Nanofluid on a Stretching Sheet

The influence of Casson nanofluid's participating parameters over a stretched sheet is explored numerically. The fluid momentum equations are transformed to ODEs with suitable dimensional less parameters. Runge-Kutta method of fourth order method is applied. The impact on fields of velocity, temperature and concentration of magnetic, Casson porosity, radiation, Prandtl, Brownian and thermophoresis parameters and chemical reaction parameters are graphically illustrated and discussed qualitatively.

Heat and mass transfer of MHD Casson nanofluid flow through a porous medium past a stretching sheet with Newtonian heating and chemical reaction

Heat and mass transfer of MHD Casson nanofluid flow through a porous medium past a stretching sheet with Newtonian heating and chemical reaction

Heat and mass transfer in MHD Casson nanofluid flow past a stretching sheet with thermophoresis and Brownian motion

AbstractThe foremost objective of the current article is to explore the impact of Brownian motion on magnetohydrodynamic Casson nanofluid flow toward a stretching sheet in the attendance of nonlinear thermal radiation. The combined heat and mass transfer characteristics are investigated. The influence of chemical reaction, nonuniform heat source/sink, Soret, and Dufour is deemed. The convective boundary condition is taken. The appropriate transformations are utilized to transform the flow regulating partial differential equations into dimensionless ordinary differential equations (coupled). The numerical outcomes of the converted nonlinear system are solved by the Runge‐Kutta based Shooting procedure. Results indicate that the temperature is an increasing function of both thermophoresis and Brownian motion parameters. The concentration of the fluid and the corresponding boundary layer thickness reduces with an enhancement in Lewis number.

Entropy generation on double diffusive MHD Casson nanofluid flow with convective heat transfer and activation energy

The viscous and Joule dissipation effects on stagnation point flow of thermally radiating Casson nanoliquid over a convectively heated stretching sheet under hydromagnetic assumptions are discussed. The influence of heat absorption on heat transfer and chemical reaction prompted by activation energy on mass transfer is also considered. The appropriate transformations are implemented for converting the governing partial differential equations into a set of coupled ordinary differential equations. BVP4C routine of MATLAB has been used to solve the coupled nonlinear ODEs. The way fluid velocity, concentration, temperature, Bejan number and entropy generation behave subject to change in the flow parameters, has been discussed through graphs, whereas the important physical quantities such as skin friction coefficient, Nusselt number and Sherwood number are analyzed on the basis of numerical values presented in tables. On the obtained numerical data of Nusselt number, linear and quadratic regression analyses have been performed. It is concluded that for larger values of thermal and concentration buoyancy parameters, fluid velocity tends to decrease inside the boundary layer region. It is also found that plastic dynamic viscosity of Casson nanoliquid tends to reduce the rate of entropy generation.

Radiative MHD Casson Nanofluid Flow with Activation energy and chemical reaction over past nonlinearly stretching surface through Entropy generation

In the present research analysis we have addressed comparative investigation of radiative electrically conducting Casson nanofluid. Nanofluid Flow is assumed over a nonlinearly stretching sheet. Heat transport analysis is carried via joule dissipation, thermal behavior and convective boundary condition. To employ the radiative effect radiation was involved to show the diverse states of nanoparticles. Furthermore entropy optimization with activation energy and chemical reaction are considered. Thermodynamics 2nd law is applied to explore entropy generation rate. Nonlinear expression is simplified through similarity variables. The reduced ordinary system is tackled through optimal approach. Flow pattern was reported for wide range of scrutinized parameters. Computational consequences of velocity drag force, heat flux and concentration gradient are analyzed numerically in tables. Results verify that conduction mode augments with enhance of magnetic parameter.Increasing radiation boosts the temperature and entropy. Activation energy corresponds to augmented concentration. Heat transmission rate augments with the consideration of radiation source term.

Entropy generation effects in MHD Casson nanofluid past a permeable stretching surface

The primary focus of the present study is to analyse the effects of entropy generation on hydromagnetic Casson nanofluid flow past a permeable stretching surface with convective heat and mass boundary conditions. The problem is given mathematical formulation and partial differential equations are converted into system of nonlinear ordinary differential equations by suitable similarity variables. The transformed problem is solved analytically by Homotopy-Pade' method and numerically by shooting technique coupled with fourth fifth order Runge-Kutta-Fehlberg method. The results are compared with existing literature under limiting conditions and are found to be in excellent agreement. The effects of pertinent parameters on entropy generation are displayed by plotting graphs of local entropy generation number, averaged entropy generation number and Bejan number. The results are discussed in detail. It is found that magnetic field parameter, thermal Biot number and solutal Biot number have increasing effects on entropy generation whereas increase in Casson fluid parameter causes entropy production to decrease.

Entropy generation effects in MHD Casson nanofluid past a permeable stretching surface

The primary focus of the present study is to analyse the effects of entropy generation on hydromagnetic Casson nanofluid flow past a permeable stretching surface with convective heat and mass boundary conditions. The problem is given mathematical formulation and partial differential equations are converted into system of nonlinear ordinary differential equations by suitable similarity variables. The transformed problem is solved analytically by Homotopy-Pade' method and numerically by shooting technique coupled with fourth fifth order Runge-Kutta-Fehlberg method. The results are compared with existing literature under limiting conditions and are found to be in excellent agreement. The effects of pertinent parameters on entropy generation are displayed by plotting graphs of local entropy generation number, averaged entropy generation number and Bejan number. The results are discussed in detail. It is found that magnetic field parameter, thermal Biot number and solutal Biot number have increasing effects on entropy generation whereas increase in Casson fluid parameter causes entropy production to decrease.

MHD Casson Nanofluid Past a Stretching Sheet with the Effects of Viscous Dissipation, Chemical Reaction and Heat Source/Sink

The effects of viscous dissipation, chemical reaction and activation energy on the two-dimensional hydromagnetic convective heat and mass transfer flow of a Casson nanofluid fluid over a stretching sheet with thermal radiation, have been discussed in detail. The formulated highly nonlinear equations for the above-mentioned flow are converted into first-order ordinary differential equations (ODEs). The shooting method along with Adams-Bash forth Moulton method is used to solve the BVP by using the Fortran language program. The numerical results are computed by choosing different values of the involved physical parameters and compared with earlier published results and excellent validation of the present numerical results has been achieved for local Nusselt number and local Sherwood number. The graphical numerical results of different physical quantities of interest are presented to analyze their dynamics under the varying physical quantities. From the results, it has been remarked that the heat transfer rate escalates for the large values of radiation parameter, viscous dissipation for the Casson nanofluid.

MHD flow and heat transfer analysis of Newtonian and non-Newtonian nanofluids due to an inclined stretching surface

PurposeThe purpose of this paper is to study the flow, heat and mass transfer of MHD Casson nanofluid due to an inclined stretching sheet using similarity transformation, the governing PDE’S equations of flow, heat and mass transfer are converted into ODE’S. The resulting non-linear ODE’S are solved numerically using an implicit finite difference method, which is known as Kellor-box method. The effects of various governing parameters on velocity, temperature and concentration are plotted for both Newtonian and non-Newtonian cases. The numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters. It is noticed that the effect of angle of inclination enhances the temperature and concentration profile whereas velocity decreases. The temperature decreases due to the increase in the parametric values of Pr and Gr due to thickening in the boundary layer.Design/methodology/approachNumerical method is applied to find the results.FindingsFlow and heat transfer analysis w.r.t various flow and temperature are analyzed for different values of the physical parameters.Research limitations/implicationsThe numerical values of skin friction, Nusselt number and Sherwood number are calculated and tabulated in various tables for different values of physical parameters.Practical implicationsThe study of the boundary layer flow, heat and mass transfer is important due to its applications in industries and many manufacturing processes such as aerodynamic extrusion of plastic sheets and cooling of metallic sheets in a cooling bath.Originality/valueHere in this paper the authors have investigated the MHD boundary layer flow of a Casson nanofluid over an inclined stretching sheet along with the Newtonian nanofluid as a limited.

Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet

A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.