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In this study, we present the thermo-physical characteristics of Newtonian fluid over a heated rotating disk. Liquid and gas-type phenomena depending on temperature are considered near the boundary-layer region. Temperature-dependent liquid viscosity is found to reduce the mean velocity profile range and expands the mean temperature profile, but for gases opposite impact is noticed. Under moderate transformations, the radial, azimuthal and temperature profiles are illustrated. Furthermore, the dependence of thermo-physical properties on temperature and concentration are also considered. Numerical solution of the differential equations are then calculated by employing a RK-five integration scheme along with a shooting method. All of the obtained results are discussed for the base flow, temperature and concentration profiles and physical interpretation has been given through figures and tables. The comparative data is calculated for a limited case and good agreement is noticed with previously published article. • Boundary-layer flow near the rotating disk is studied. • Liquid and gas-type materials are considered. • Viscosity and thermal conductivity are assumed to be temperature dependent. • The solutions are obtained numerically using a shooting method. • The impacts of viscosity and thermal conductivity are illustrated. [ABSTRACT FROM AUTHOR]

An investigation is made to examine the influence of chemically reactive species and mixed convection on the magneto-hydrodynamic (MHD) Williamson nanofluid induced by a nonisothermal cone and plate in porous medium. In the boundary layer region, nanoparticles deliver potentials in increasing the impact of convective heat transfer. Joule heating effect is also considered. Similarity transformations are used to convert the coupled partial differential equations into a set of nonlinear ordinary differential equations with variable coefficients. The transformed governing nonlinear boundary layer equations are solved numerically by using amended form of Fehlberg's method. It is adequate to discuss several physical mechanisms such as analytical velocity, temperature and concentration profiles and also closed-form skin friction/mass transfer/heat transfer coefficients, all as given in the present analysis. The numerical results acquired for several physical mechanisms are revealed through plots for two different cases (cone and plate). It is found that temperature profile increases for large values of thermophoresis parameter, Brownian motion and Eckert number, but reduces for large values of Prandtl number. Moreover, concentration profile reduces for large values of Lewis number and Brownian motion. [ABSTRACT FROM AUTHOR]

A mathematical model is presented to discuss magnetohydrodynamic Sisko fluid flow over a stretching cylinder with cumulative effects of viscous dissipation and Joule heating in the presence of nanoparticles. The mathematical modelling of the physical problem produced nonlinear set of partial differential equations which are transfigured into simultaneous system of ordinary differential equations with appropriate boundary conditions via suitable scaling group of transforms. Shooting technique is used to solve nonlinear set of flow govern equations. Comparison of numerical solution is made with previously reported data to validate the accuracy. The influence of governing parameters on the velocity, temperature and concentration is discussed under different parametric conditions. The numerically computed results are deliberated via graphs by selecting suitable values of the relevant physical parameters. Additionally to insight physical phenomenon in the vicinity of surface skin friction coefficient, local Nusselt number and local Sherwood number are computed and explicated through tables as well as graphs. [ABSTRACT FROM AUTHOR]

The objective of this article is to explore the computational aspects of temperature dependent dynamic viscosity of Maxwell nanofluid flow over a variable thicked surface. The dynamic viscosity of the fluid is assumed to depend on temperature and due to thermal and solutal stratifications, viscosity of the liquid also depends on thermal and concentration diffusions. Temperature dependent dynamic viscosity model causes change in thermal and solutal stratifications. The basic mathematical model (system of PDEs) is reduced into nonlinear ODEs by applying similarity variables. Computational solutions of the differential system are obtained by efficient numerical approach (fifth order Rung-Kutta Fehlberg method) along the Cash and Karp. The consequential solutions are sketched for different values of physical constraints. Parameters like the temperature dependent viscosity, the fluid relaxation parameter, the wall thickness parameter and the Hartmann number are found to control the flow field. In addition, the Prandtl number, the Brownian motion parameter, the activation energy parameter, the chemical reaction rate parameter, the thermophoresis parameter, the thermal stratification parameter, the Lewis number, and the solutal stratification parameter are found to control the concentration and temperature distributions inside the stretching surface. It can be seen that for large values of the fluid relaxation parameter, the temperature dependent viscosity and the wall thickness parameter the velocity profile declines whereas reverse behavior is noticed for Hartmann number. Moreover, for large values the Lewis number, solutal stratification parameter and activation energy parameter the concentration profile shows decrease behavior. • Change in viscosity of Maxwell nanofluid on heat and mass is clarified. • Plastic dynamic viscosity at initial steady state is investigated. • Activation energy is considered mass equation. • Small nanoparticle size is beneficial for heat assignment increase. • Relationship between kinematic viscosity and intermolecular force is described. [ABSTRACT FROM AUTHOR]

Recent study illustrates the systematic survey of boundary layer heat and mass diffusion (Cattaneo-Christov model) of Jeffery fluid passed by an inclined stretching surface in the occurrence of magnetic field. Prevailing non-linear PDEs are converted into non-linear ODEs and then the problem is solved via RK-4 technique (using coefficients of Cash and Craps). The related important physical parameters such as M magnetic parameter, λ T thermal buoyancy parameter, λ C concentration buoyancy parameter, γ inclined stretching sheet parameter, PrPrandtl number, N b Brownian motion parameter, N t thermophoresis parameter and Le Lewis number are plotted graphically for velocity, temperature and concentration distributions. In order to check the double diffusive phenomenon, the impact of fluid relaxation parameter δ m , thermal relaxation parameter δ e and nanoparticle concentration relaxation parameter δ c are reflected through tables and graphs. The main theme of present article is to explore its unique attempt towards the generalized version of conventional Fourier's law and Fick's law at nanostructure level. Assumption is drawn on the source of entire analysis and it is clear that the velocity and temperature profiles reduces for increasing values of fluid relaxation parameter, inclined sheet, magnetic field and Prandtl number. [ABSTRACT FROM AUTHOR]

Recent study illustrates the systematic survey of boundary layer heat and mass diffusion (Cattaneo-Christov model) of Jeffery fluid passed by an inclined stretching surface in the occurrence of magnetic field. Prevailing non-linear PDEs are converted into non-linear ODEs and then the problem is solved via RK-4 technique (using coefficients of Cash and Craps). The related important physical parameters such as M magnetic parameter, λ T thermal buoyancy parameter, λ C concentration buoyancy parameter, γ inclined stretching sheet parameter, PrPrandtl number, N b Brownian motion parameter, N t thermophoresis parameter and Le Lewis number are plotted graphically for velocity, temperature and concentration distributions. In order to check the double diffusive phenomenon, the impact of fluid relaxation parameter δ m , thermal relaxation parameter δ e and nanoparticle concentration relaxation parameter δ c are reflected through tables and graphs. The main theme of present article is to explore its unique attempt towards the generalized version of conventional Fourier's law and Fick's law at nanostructure level. Assumption is drawn on the source of entire analysis and it is clear that the velocity and temperature profiles reduces for increasing values of fluid relaxation parameter, inclined sheet, magnetic field and Prandtl number. [ABSTRACT FROM AUTHOR]