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The intension of current inquiry is to highlight the impact of magnetohydrodynamic Casson fluid flow across a convective surface with cross diffusion, chemical reaction, non-linear radiative heat are accounted. Convection and diffusive boundary conditions are deemed. The governing flow equations for the flow fields are converted into non-dimensional form by using appropriate similarity variables. These ODEs are solved by fourth order Runge–Kutta and Shooting method. The outcomes are bestowed with plots and table for the influence of diverse flow variables on the flow fields. We observed that depreciate temperature and appreciate concentration with the upsurge in Sorret number, whereas a negative impact is perceived with Dufour number. A decrement in Nusselt number and an enhancement in Sherwood number are observed for the intensification of non-linear radiative parameter. [ABSTRACT FROM AUTHOR]

This paper scrutinizes the magnetohydrodynamic-free convection flow along higher part of the paraboloid of revolution by curbing the assets of Brownian moment and thermophoresis. The governing equations leading to boundary restrictions of the model are compressed into ODEs by employing proper transformations. To resolve these equations, we operated shooting approach. The influence of all the emerging sundry flow controlled variables on convergences is contemplated graphically for the momentum, thermal and species fields. Also, wall friction, Nusselt and Sherwood numbers of relevant comprising flow factors are perceived through tables. Simultaneous results are displayed in two cases. It is found that the magnetic field signifies additional conflicting force to fluid motion and dissipation impacts to accelerate the temperature. Non-Newtonian flow is highly influenced by Brownian moment when compared to Newtonian flow. [ABSTRACT FROM AUTHOR]

In this report, the hydromagnetic dissipative Newtonian/non-Newtonian fluid flow over a stretched surface is examined numerically. Brownian moment, Joule heating, thermophoresis effects are considered. Similarity variables are employed to transform the non-linear PDEs into ODEs. The eminent shooting scheme is employed to determine the solution of the nonlinear equations. Solutions are achieved for different benefits of parameters of the model and the consequences are predicted in plots and tables. The Brownian moment imposed to accelerate the energy field and the dissipation influences to expand both the thermal and momentum fields. Also, simultaneous solutions are exhibited and found that the heat transport in Casson fluids has superior properties than the regular fluid. [ABSTRACT FROM AUTHOR]

This paper presents the flow and heat transfer characteristics of an electrically conducting Casson fluid past an exponentially stretching curved surface with convective boundary condition. The fluid motion is assumed to be laminar and time dependent. The effects of temperature-dependent thermal conductivity, Joule heating, thermal radiation, and variable heat source/sink are deemed. Suitable transformations are considered to transform the governing partial differential equations as ordinary ones and then solved by the numerical procedures like shooting and Runge–Kutta method. Graphs are outlined to describe the influence of various dimensionless parameters on the fields of velocity and temperature and observe that there is an enhancement in the field of temperature with the radiation, temperature-dependent thermal conductivity, and irregular heat parameters. Also, the Casson parameter has a tendency to suppress the distribution of momentum but an inverse development is noticed for the curvature parameter. Attained outcomes are also compared with the existing literature in the limiting case, and good agreement is perceived. [ABSTRACT FROM AUTHOR]

In this paper, we analyzed heat transfer characteristics of a steady two-dimensional magnetohydrodynamic shear thickening Casson fluid across a vertical stretching sheet in the presence of variable heat source/sink. The impact of thermal radiation and velocity slip is also considered. With the suitable similarity transformations, the governing partial differential equations and the corresponding boundary conditions are transferred into ordinary ones and then solved numerically by using shooting and fourth-order Runge–Kutta methods. Simultaneous solutions are presented for the case of suction and injection. The effect of diverse non-dimensional parameters on distributions of velocity, temperature along with skin friction coefficient and the local Nusselt number is analyzed and presented through graphs and table for both suction and injection cases. Increase in Biot number and thermal radiation parameter supports to enhance the distribution of temperature. Escalation in the suction/injection parameter decreases both the distributions velocity and temperature in suction as well as injection cases are observed. [ABSTRACT FROM AUTHOR]

The current research article delivers a numerical study of an electrically conducting magnetohydrodynamic nonlinear convection flow of micropolar fluid over a slendering stretching surface. The flow is laminar and time independent. The influence of viscous dissipation, Joule heating, non-uniform heat source or sink, temperature-dependent thermal conductivity and thermal radiation is deemed. Heat-transfer characteristics are scrutinized with the aid of modified Fourier's law. We presented simultaneous solutions for a flat surface and variable thickened surface. At first, appropriate similarity transformations are considered to convert the basic partial differential equations as ordinary ones and then solved by the successive application of numerical procedures such as shooting and fourth-order Runge–Kutta method. Graphs are delineated to observe the influence of diverse nondimensional parameters on the flow fields. Along with the skin friction coefficient, couple stress coefficient and local Nusselt number are also discussed and bestowed with the support of the table. Results stipulate that the distribution of temperature increases with thermal relaxation and radiation parameters, but a contradictory outcome is spotted for Prandtl number. Also, the microrotation velocity is suppressed with an enhancement in magnetic field parameter, but an opposite trend is observed for buoyancy force. [ABSTRACT FROM AUTHOR]

The knowledge of heat transfer of MHD flows across a stretched surface plays a crucial role in transportation, heat exchangers, fibre coating, magnetic drug treatment, etc. The present research article delivers a numerical examination of 2D magnetohydrodynamic nonlinear radiative flow of micropolar fluid towards a stretching surface. The fluid motion is steady and laminar. The impacts of chemical reaction, cross-diffusion and thermal and solutal Biot numbers are deemed. Combined influence of heat and mass transfer attributes is investigated. For effective heat transfer, Cattaneo–Christov heat flux term is added to the energy equation. The appropriate transmutations are adopted for rehabilitating the flow governing PDEs into dimensionless ordinary ones. Further, these ODEs are resolved by R.K.F-4 with a shooting system. The graphs are plotted to picture the flow fields for the flow regulating parameters. The friction factor, couple stress and mass and thermal transport rates are presented for the flow relevant variables. From the results, we spotted that there are an enhancement in velocity but a decrement in temperature and concentration fields with the swelling in the values of primary slip parameter. Also the temperature and concentration fields are enhanced with the boosting values of Dufour and Soret numbers, respectively. [ABSTRACT FROM AUTHOR]

The 3D flow of non-Newtonian nanoliquid flows past a bidirectional stretching sheet with heat transfer is investigated in the present study. It is assumed that viscosity of the liquid varies with temperature. Carreau non-Newtonain model, Tiwari and Das nanofluid model are used to formulate the problem. The impacts of Joule heating, nonlinear radiation and non-uniform (space and temperature dependent) heat source/sink are accounted. Al-Cu-CH3OH and Cu-CH3OH are considered as nanoliquids for the present study. The solution of the problem is attained by the application of shooting and R.K. numerical procedures. Graphical and tabular illustrations are incorporated with a view of understanding the influence of various physical parameters on the flow field. We eyed that using of Al-Cu alloy nanoparticles in the carrier liquid leads to superior heat transfer ability instead of using only Aluminum nanoparticles. Weissenberg number and viscosity parameter have inclination to exalt the thermal field. [ABSTRACT FROM AUTHOR]

The flow of magnetohydrodynamic Carreau liquid with the Brownian moment, thermophoresis and cross diffusion effects is investigated numerically. The buoyancy persuades on the flow is contemplated in such a way that the surface is neither perpendicular/horizontal nor wedge/cone. This is very helpful in the design of jet-engine. The equations govern the flow are transmuted using acceptable similarity variables and numerically solved by recruiting Runge-Kutta based Newtons method. The graphical results are obtained to discuss the stimulus of flow, thermal and concentration fields for different parameters of interest. The wall friction, local Nusselt and Sherwood numbers are examined with the assistance of tables. It is noticed that the parabolic flow is controlled by the buoyant forces developed by the temperature difference. Since the flow is laminar, the Reynolds number considered as <1000. This study has applicable in man-made products and various industries like pumps and oil purification, petroleum production, power engineering and chemical engineering processes. [ABSTRACT FROM AUTHOR]

Through this paper we investigated the heat and mass transfer effects of chemically reacting radiative Casson fluid flow over a slendering/flat stretching sheet in a slip flow regime with aligned magnetic field. This study is carried out under the influence of non-uniform heat source/sink. First we converted the governing equations of the flow into ordinary differential equations by making use of suitable similarity transformations. The resultant nonlinear differential equations are solved numerically using Runge-Kutta based shooting technique. Further, graphical representations have been given to study the effects of various physical parameters on velocity, temperature and concentration fields. Also numerical computation has been carried out to investigate the influence of various physical parameters involved on skin friction, heat and mass transfer coefficients. Through this investigation, it is observed that aligned angle, Casson parameter and velocity slip parameter have tendency to control the velocity field. Also heat transfer rate in the flow over a flat stretching sheet is higher than that of slendering stretching sheet. A good agreement of the present results with the existed literature has been observed. [ABSTRACT FROM AUTHOR]

Heat and mass transfer nature of magnetohydrodynamic Williamson and Casson fluids towards an upper paraboloid of revolution with thermophoresis and Brownian moment is discussed theoretically. Thermo-diffusion and diffusion-thermo effects are incorporated in the model. The governing equations of the flow is transformed using fitting similarity variables and solved by employing R-K based shooting technique. The behaviour of flow, temperature and concentration fields for different physical aspects is discussed through graphical illustrations. Also computed the coefficient of skin friction, local Nusselt and Sherwood numbers and presented through tables. It is found that the heat and mass transfer performance of Casson fluid is comparatively higher than that of Williamson fluid. [ABSTRACT FROM AUTHOR]

In this study we investigated the effect of space and temperature dependent heat generation/absorption on three-dimensional magnetohydrodynamic nanofluid flow over a nonlinearly permeable stretching sheet. After using appropriate self-similarity transformation the governing equations are solved numerically using bvp4c Matlab package. The effects of the non-dimensional governing parameters on velocity, temperature and concentration profiles are discussed with the help of graphs. Also, coefficient of skin friction and Nusselt number is analyzed and presented through tables. It is found that present results have an excellent agreement with the existed studies under some special cases. Results indicate that an increase in space and temperature dependent heat source or sink increases the temperature and concentration profiles of the flow. Dual solutions exist only for certain range of power-law index. [ABSTRACT FROM AUTHOR]

The combined influence of heat and mass transfer on the boundary layer flow of Carreau fluid across a bidirectional stretching surface has many applications such as heat exchangers, transportation, making of paper plates, fibre coating, and some metal-working procedures in engineering and industrial applications. In this paper, we present a three-dimensional (3D) numerical study on the magnetohydrodynamic (MHD) Carreau fluid flow driven by a stretching surface influenced by heat and mass transfer. This examination further sees the impacts of variable thermal conductivity, Joule heating, irregular heat source / sink and chemical reaction. The improved Fourier's model is considered in view of the response of heat transfer. The flow equations are transformed into dimensionless equations with suitable similarity transformations. The fourth-order Runge–Kutta-based shooting method is used to resolve the converted nonlinear coupled equations. Influences of various physical aspects on the flow fields are shown through graphs and friction factor, local Nusselt and Sherwood numbers are presented in a separate table. The results predict that the fluid temperature is an escalating factor of the thermal relaxation parameter and Eckert number. Also, the rates of thermal and mass transport and the Weisenberg numbers are proportional to each other. [ABSTRACT FROM AUTHOR]

A theoretical analysis is executed to picture the influence of cross diffusion on magnetohydrodynamic Cattaneo-Christov flow over the three different geometries (cone, wedge and a plate). R-K-Fehlberg numerical procedure is selected for resolving the transformed set of nonlinear ordinary differential equations. The impact of all the flow controlling parameters on the momentum, concentration and thermal boundary layers are described with the aid of graphs and tables. From the results obtained, we may discern that the mass and heat transfer coefficients are high in the flows over a plate and a cone respectively. Thermal relaxation parameter have tendency to dwindle the fluid temperature. [ABSTRACT FROM AUTHOR]