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The present study investigates the heat and flow characteristics of mixed convective peristaltic transport of nanofluids containing magnetite γAl2O3 nanomaterials dispersed in conventional liquids, namely, ethylene glycol (C2H6O2) and water (H2O). The research provides a comprehensive analysis, considering various factors such as induced magnetic field, variable viscosity, buoyancy force, viscous dissipation, and porous media effects. The mathematical model is formulated based on a set of governing equations encompassing continuity, temperature, momentum, and induction, which are subsequently transformed into dimensionless form through appropriate scaling. A numerical method is employed to solve the resulting nonlinear differential equations. Results indicate that the velocity profile exhibits substantially higher magnitudes in the case of the γAl2O3-C2H6O2 nanoliquid when compared to the γAl2O3-H2O nanoliquid. Increasing the magnetic Reynolds number leads to a higher magnitude of the axial-induced magnetic field. An observed reduction in system entropy is associated with an increase in the permeability parameter. [ABSTRACT FROM AUTHOR]

Unsteady incompressible Sutterby fluid model is considered. The comparative results of stretching cylinder and sheet have been studied. The induced magnetic field is considered in the presence of thermal slip. Darcy resistance and viscos dissipation impacts have been studied. The thermal conductivity of liquid has considered as variable under the thermal radiation. The governing model of presence study have been developed under boundary layer approximation in term of partial differential equations. The differential equation become dimensionless by means of transformations. The dimensionless system have been solved through numerical procedure. Involving factor of physical influence presented in the form of tabular as well as graphical. Fluid temperature boosted up due to larger values of variable thermal conductivity. Physically, the thermal conductivity of liquid increased as well as variable thermal conductivity liquid enhanced as the temperature of fluid improved. The momentum layer thickness of stretching cylinder achieved mover than stretching sheet. The fluid velocity curves achieved higher thickness for boosting values of Darcy resistant factor. The velocity fluid curves revealed declining by increasing the Sponginess factor. Fluid temperature boosted up due to larger values of Eckert number. [ABSTRACT FROM AUTHOR]

Incompressible two dimensional steady flow of Sutterby fluid over a nonlinear stretching cylinder. The fluid properties are variable under the Buongiorno model of nanofluid. The effect of induced magnetic field applied on the sutterby fluid using the heat generation and chemical reaction. The nonlinear radiative with thermal and concentration slip have been studied. Under the above expectations, the mathematical model established using the governing equations. These equations are become partial differential equations by means of boundary layer approximation. The partial differential equations reduced in the form of ordinary differential equations by implementing the transformations. The dimensionless system solved through numerical approach. The impression of governing physical parameters are reported in graphically as well as tabular form. The temperature of fluid boosted up due to larger values of variable thermal conductivity. As the thermal conductivity of liquid enhanced due to thermal conductivity increasing which increased the fluid temperature. The fluid temperature enlarged due to increment of Brownian motion. Physically, the fluid temperature boosted for different values of Brownian motion because increment of Brownian motion means increment in kinematic energy which improved the fluid temperature. [ABSTRACT FROM AUTHOR]

Household warming, distillation, cooling systems, manufacturing heat, power plants, and irrigation water pumps are all applications for a parabolic trough surface accumulator (PTSC). This research examines the consequences of mixing nanosolid materials on PTSC installed on a solar aircraft wing, as well as the production of entropy. The Newtonian nanofluid model was used to investigate the consequences of thermal radiative fluxing, changing thermal conductivity, and upstream magnetism force limitations. Thermal radiative, and variable thermal conducting, the heat transfer discharge from solar aircraft wings is enhanced. Ordinary differential equations (ODEs) are numerically treated using a method known as the Keller-box method. Thermal radiative and thermal conducting effect adjustments that are positive develop the heat transference coefficient of solar aircraft wings. It is thought that graphene oxide (GO) based kerosene oil (K) can help with PTSC performance monitoring. We will also experiment with different nanoparticle concentrations to see how they affect the system's active characteristics. The thermodynamic performance of GO-K nanofluid has been described better than that of base nanofluid. GO-K has a heat transition rate of 15.03% higher than conventional fluid without GO. Theoretical simulations with documentation can be more useful in improving solar thermal energy schemes. [ABSTRACT FROM AUTHOR]

The aim of this work is to relate the Soret and Dufour parameters of peristaltic flow in magneto Oldroyd 4-constant nanofluids in non-uniform channel. The discussion explores the numerical modelling of Oldroyd 4-constant nanofluids with convective double diffusion under induced magnetic flux. The use of a low finite Reynolds number and a long wavelength simplify non-linear partial differential equations. Numerical method is applied to solve reduced differential equation. Furthermore, the exact solutions of nanoparticle, temperature and concentration are computed. The graphical and numerical presentation show the significance of different physical parameters. The results reveal the fact that the greater value of Soret number and Brownian motion parameter decreases the concentration nanosolid particle. In addition, molecular kinetic energy transforms into thermal energy by random collision in the process of micro-mixing of nanoliquid resultantly raise the temperature of the liquid. Moreover, the magnetic force function increases due to enhancing electric field and magnetic Reynolds number. [ABSTRACT FROM AUTHOR]

This article presents exact solution for pressure driven flow formation of electrically conducting fluid in a parallel plate channel formed by two horizontal parallel plates with electrokinetic effects and induced magnetic field. Using the Poisson–Boltzmann, Navier-Stokes equations and induction equation, the governing electric potential, momentum, induced magnetic field and energy equations for the present article are presented and transformed to their corresponding dimensionless form using suitable parameters. The governing dimensionless equations are solved exactly and graphical representation are presented. During the cause of graphical illustration, it is found that the role of electrokinetic effects and Hartmann number is to decrease the electric potential, fluid velocity, induced magnetic field and fluid temperature. A special case is found and discussed when the value of Hartmann number equals the Debye-Hückel parameter. It is interesting to note that heat transfer is independent on governing parameters for large value of Debye-Hückel parameter. [ABSTRACT FROM AUTHOR]

The present article examines the effect of induced magnetic field in stagnation point flow of nanofluid by a rotating disk with variable thickness. Nanofluid comprises water and aluminium oxide. Mathematical modeling is presented in presence of melting heat transfer and heat generation/absorption aspects. The governing equations are transformed into system of ordinary differential equations by similarity transformations. Nonlinear systems are solved by Homotopy Analysis Method (HAM). Convergence of derived solutions is ensured explicitly. Velocity components, induced magnetic field, temperature, skin friction coefficient and local Nusselt number are examined for influential parameter in this consideration. It is found that axial velocity and axial induced magnetic field are decreasing function of thickness coefficient of disk. Magnitude of volume fraction of silver nanoparticles reduces for radial and azimuthal velocities while increases for temperature. Induced magnetic profile decreases for reciprocal of magnetic Prandtl number. Magnitude of local Nusselt number reduces for melting heat transfer. [ABSTRACT FROM AUTHOR]

Impact of induced magnetic field over a flat porous plate by utilizing incompressible water-copper nanoliquid is examined analytically. Flow is supposed to be laminar, steady and two-dimensional. The plate is subjected to a regular free stream velocity as well as suction velocity. Flow formulation is developed by considering Maxwell–Garnetts (MG) and Brinkman models of nanoliquid. Impacts of thermal radiation, viscous dissipation, temperature dependent heat source/sink and first order chemical reaction are also retained. The subjected non-linear problems are non-dimensionalized and analytic solutions are presented via series expansion method. The graphs are plotted to analyze the influence of pertinent parameters on flow, magnetism, heat and mass transfer fields as well as friction factor, current density, Nusselt and Sherwood numbers. It is found that friction factor at the plate is more for larger magnetic Prandtl number. Also the rate of heat transfer decayed with increasing nanoparticles volume fraction and the strength of magnetism. [ABSTRACT FROM AUTHOR]

In the present analysis, we have investigated the effects of induced magnetic field and heat source/sink on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field by considering induced magnetic field into account. The governing equations of the considered model are transformed into simultaneously ordinary differential equations and solved analytically. We have analyzed the effect of Hartmann number, heat source/sink parameter and ratio of outer radius to inner radius on the fluid velocity, induced magnetic field, induced current density and temperature field by the graphs while the values of skin-friction, Nusselt number, mass flux and induced current flux are given in the tabular form. We observed that the values of the velocity, induced magnetic field and induced current density have decreasing tendency with increasing the values of the Hartmann number. The results show that an increasing value of the heat source/sink parameter leads to increase the velocity, induced magnetic field, induced current density and temperature in case of heat source and viceversa in case of heat sink. [ABSTRACT FROM AUTHOR]

The present work consists of theoretical investigation of MHD natural convection flow in vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the induced current density, and skin friction have been presented in graphical form. It is found that the effect of Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel. [ABSTRACT FROM AUTHOR]

In the present paper, an analysis has been performed to study the influence of induced magnetic field on the transient free convective flow of an electrically conducting and viscous incompressible fluid over a vertical cone. The coupled nonlinear partial differential equations governing the transient flow have been solved numerically by using the implicit finite difference method of Crank–Nicolson type. The influence of magnetic parameter, magnetic Prandtl number and semi-vertical angle of the cone on the velocity and induced magnetic field profiles has been illustrated graphically. Also, the local as well as average skin-friction and Nusselt number has been presented graphically. For result validation, we have done a comparative study and the present results are found to be in very good agreement with available results. [ABSTRACT FROM AUTHOR]

This article presents the effects of nonlinear thermal radiation and induced magnetic field on viscoelastic fluid flow toward a stagnation point. It is assumed that there exists a kind of chemical reaction between chemical species A and B . The diffusion coefficients of the two chemical species in the viscoelastic fluid flow are unequal. Since chemical species B is a catalyst at the horizontal surface, hence homogeneous and heterogeneous schemes are of the isothermal cubic autocatalytic reaction and first order reaction respectively. The transformed governing equations are solved numerically using Runge–Kutta integration scheme along with Newton’s method. Good agreement is obtained between present and published numerical results for a limiting case. The influence of some pertinent parameters on skin friction coefficient, local heat transfer rate, together with velocity, induced magnetic field, temperature, and concentration profiles is illustrated graphically and discussed. Based on all of these assumptions, results indicate that the effects of induced magnetic and viscoelastic parameters on velocity, transverse velocity and velocity of induced magnetic field are almost the same but opposite in nature. The strength of heterogeneous reaction parameter is very helpful to reduce the concentration of bulk fluid and increase the concentration of catalyst at the surface. [ABSTRACT FROM AUTHOR]

This paper is aimed to investigate the effect of induced magnetic field and Newtonian heating/cooling on fully developed laminar natural convective flow of a viscous incompressible and electrically conducting fluid in the presence of radial magnetic field. The governing equations of the model are transformed into non-dimensional simultaneously ordinary differential equations and solved analytically. We have analyzed the influence of the Hartmann number and Biot number on the fluid velocity, induced magnetic field and induced current density by the graphs while the values of skin-friction and mass flux are given in the tabular form. We observed that the values of the velocity, induced magnetic field and induced current density have decreasing tendency with increasing the values of Hartmann number. Also, the results show that on increasing the value of Biot number leads to increase the velocity, induced magnetic field, induced current density and skin-friction in case of the Newtonian heating and decrease the velocity, induced magnetic field, induced current density and skin-friction in case of the Newtonian cooling. [ABSTRACT FROM AUTHOR]

A theoretical analysis is performed to study induced magnetic field effects on free convection flow past a vertical plate. The x ¯ -axis is taken vertically upwards along the plate, y ¯ -axis normal to the plate into the fluid region. It is assumed that the plate is electrically non-conducting and the applied magnetic field is of uniform strength ( H 0 ) and perpendicular to the plate. The magnetic Reynolds number of the flow is not taken to be small enough so that the induced magnetic field is taken into account. The coupled nonlinear partial differential equations are solved by Perturbation technique and the effects of various physical parameters on velocity, temperature, and induced magnetic fields are studied through graphs and tables. Variations in Skin friction and rate of heat transfer are also studied. It is observed that an increase in magnetic parameter decreases the velocity for both water and air. It is also seen that there is a fall in induced magnetic field as magnetic Prandtl number, and magnetic field parameter increase. [ABSTRACT FROM AUTHOR]

The problem of the steady magnetohydrodynamic (MHD) stagnation-point flow of an incompressible, viscous and electrically conducting fluid over a shrinking sheet is studied. The effects of an induced magnetic field and thermal radiation are taken into account. Velocity and thermal slip conditions have also been incorporated in the study. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using Newton's linearization method. Computational results for the variation in velocity, temperature, skin-friction co-efficient and Nusselt number are presented graphically and in tabular form. Study reveals that the surface velocity gradient and heat transfer are enhanced by decreasing magnetic parameter. [ABSTRACT FROM AUTHOR]

In the present paper, the fully developed laminar free convective flow of a viscous incompressible and electrically conducting fluid between two concentric vertical cylinders is considered in the presence of a radial magnetic field. The induced magnetic field produced by the motion of an electrically conducting fluid is taken into account. The expressions for the temperature, velocity, induced magnetic field, induced current density, skin-friction and Nusselt number are obtained in a closed form under more general boundary conditions for the induced magnetic field. The influence of the Hartmann number and buoyancy force distribution parameter on the fluid velocity, induced magnetic field and induced current density have been analyzed by using the graphs while the values of the skin-friction, Nusselt number, induced current flux and mass flux are given in the tabular form. It is observed that the fluid velocity and induced magnetic field are rapidly decreasing with increase in the value of Hartmann number in the case when one of the cylinders is conducting compared with the case when both cylinders are non-conducting. The effect of the induced magnetic field is to increase the velocity profiles in comparison to the case of neglecting the induced magnetic field. The buoyancy force distribution parameter has tendency to increase the fluid velocity, induced magnetic field, temperature field and induced current flux. [ABSTRACT FROM AUTHOR]

Abstract: This article deals with the influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid with induced magnetic field . The two dimensional equations of Johnson Segalman fluid are simplified by making the assumptions of long wave length and low Reynolds number. The arising equations are solved by using three types of techniques namely the perturbation, homotopy analysis method and numerical technique.Graphical results are sketched for various embedded parameters and interpreted. [Copyright &y& Elsevier]

The present article communicates mathematical and theoretical study of three dimensional mixed convection flow of an electrical conducting third grade fluid flow near a non-uniform irregular wavy surface. The flow field is incorporated with an applied magnetic field. Heat and mass transfer characteristics are scrutinized with combined impact of enthalpy change along with energy activation and non-linear thermal radiation. The prime structure of differential equations is achieved in momentum, energy, magnetic and concentration forms. We defined some new dimensionless functions which transformed non-linear PDEs into dimensionless ODEs. Lobatto(iiiA) formula based technique Bvp4c is used for graphical and numerical solution of governing equations. Features of different dimensionless parameters are studied for velocity, concentration, magnetic and energy distributions by using graphical approach. Skin friction coefficients, rate of heat and mass fluxes are calculated by changing the values of some dimensionless parameters. Comparative study of Nusselt number with previous published results are demonstrated to investigate the accuracy of current problem. Final outcome justifies that better agreement is achieved with existing published work. • Combined effect of enthalpy change along with energy activation is evaluated on third grade fluid flow along a vertical irregular wavy surface. • Temperature and concentration dependent thermophysical properties along with thermal radiation are considered to investigate heat and mass transfer characteristics. • Induced magnetic impact is investigated near an irregular wavy surface. • Bvp4c technique is employed to solve the momentum, magnetic induction, temperature and concentration equations. [ABSTRACT FROM AUTHOR]

The ferrofluid are useful nanofluid and can be prepared by mixing magnetic types of nanoparticles in base fluid. The mathematical modelling of ferrofluid under induced magnetic field through a vertical stretching surface is formulated in the current theoretical study. The study is performed for ferrofluid by considering magnetite Fe 3 O 4 magnetic nanoparticles in base fluid. In ferrofluid, the appropriate mixture of magnetic nanoparticles can lead to desire heat transfer phenomena. This theoretical study indicates that both Nusselt number and skin friction coefficient for Fe 3 O 4 -water ferrofluid increase by improving the effects of magnetic parameter β. Velocity and magnetic boundary layer thicknesses increase/decrease for assisting/opposing flow by strengthening magnetic effects and in the presence of magnetic type Fe 3 O 4 nanoparticle boundary layer thickness further enhances for pure water as compared to Fe 3 O 4 type of ferrofluid. Temperature profile and thermal boundary layer thickness increase for both assisting/opposing flow with enhancing the concentration of Fe 3 O 4 magnetic nanoparticle, however, thermal distribution reduces/upsurges in case of assisting/opposing flow with the increase of magnetic strength and thermal boundary layer thickness is greater for Fe 3 O 4 - water based ferrofluid as compared to regular fluid. The bvp4c built-in code in MATLAB software is employed for solution purposes. Results are displayed for the selection of effective parameters in data and graphical forms for both assisting and opposing flows. [ABSTRACT FROM AUTHOR]