Search

The article discusses a study that examined the mathematical structuring of Prandtl fluid flow toward an inclined stretched cylinder. The researchers conducted improved numerical simulation using the Cash and Carp method to foresee the pattern of thermophysical distribution toward existing involved constraints. The results indicate that Prandtl fluid velocity declines for increases in the Prandtl fluid parameter and elastic parameter.

The present work concerns the momentum and heat transmission of the electro-magnetohydrodynamic (E-MHD) boundary layer Darcy-Forchheimer flow of a Sutterby fluid over a linear stretching sheet with slip. The nonlinear equations for the proposed model are analyzed numerically. Suitable techniques are used to transform the coupled nonlinear partial differential equations (PDEs) conforming to the forced balance law, energy, and concentration equations into a nonlinear coupled system of ordinary differential equations (ODEs). Numerical solutions of the transformed nonlinear system are obtained using a shooting method, improved by the Cash and Carp coefficients. The influence of important physical variables on the velocity, the temperature, the heat flux coefficient, and the skin-friction coefficient is verified and analyzed through graphs and tables. From the comprehensive analysis of the present work, it is concluded that by intensifying the magnitude of the Hartmann number, the momentum distribution decays, whereas the thermal profile of fluid increases. Furthermore, it is also shown that by aug- menting the values of the momentum slip parameter, the velocity profile diminishes. It is found that the Sutterby fluid model shows shear thickening and shear thinning behaviors. The momentum profile shows that the magnitude of velocity for the shear thickening case is dominant as compared with the shear thinning case. It is also demonstrated that the Sutterby fluid model reduces to a Newtonian model by fixing the fluid parameter to zero. In view of the limiting case, it is established that the surface drag in the case of the Sutterby model shows a trifling pattern as compared with the classical case. [ABSTRACT FROM AUTHOR]

In present study effects of magnetic field and variable thermal conductivity on Sisko fluid model are analyzed. The modeled partial differential equations are simplified by boundary layer approach. Appropriate similarity transformations are applied to transform governing partial differential equations into ordinary differential equations. Then these equations are solved numerically by shooting method in combination with Runge-Kutta-Fehlberg method. Comparison between present and previous computed results is presented via tables. The variations in fluid velocity and temperature are displayed through graphs for different values of Sisko fluid parameter, curvature parameter, magnetic field parameter, thermal conductivity parameter and Prandtl number. The effects of physical parameters on skin friction coefficient and local Nusselt number are exhibited with figures and tables. [ABSTRACT FROM AUTHOR]

Present study carried out the speculative investigation of Hall current effects on MHD viscous fluid flow over stretching sheet with variable thickness. For heat transfer analysis, Christov–Cattaneo heat flux model is used instead of classical Fourier law. The mathematical formulation of current flow configuration yields the set of partial differential equations with higher order of nonlinearity. The modeled partial differential equations are switched into ordinary differential equations with the aid of an appropriate set of local similarity transforms. The resulting similarity equations are tackled numerically with the assistance of fifth order Runge–Kutta integration scheme. The expressions for axial velocity, transverse velocity and temperature are numerically computed and analyzed against variations in the controlling parameters with the help of graphs. To insight flow behavior in the neighbourer region of sheet surface, local skin friction coefficients and local Nusselt number are calculated. The effects of involving flow parameters on these interesting quantities are elaborated through tabular representations. A suitable correlation of current results with previously reported data (in limiting case) is presented for the validation of computed results. • Fluid velocities show depreciating trend due to the resistance provided by magnetic field whereas temperature profile upsurges. • Both wall friction factors grows verses Hartmann number while temperature gradient reduces against it. • Hall parameter provides opposition to transverse velocity while it slightly accelerates the axial velocity. • An increase in wall thickness parameter upsurges both components of velocities and temperature as well. • The nonlinearly stretching surface bestowed the favorable situation to fluid movement in axial direction while reverse pattern is depicted in case of transverse velocity. • Prandtl number declines the fluid temperature whereas wall heat flux coefficient intensifies. [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]

A numerical solution of MHD flow of tangent hyperbolic fluid model over a stretching cylinder is obtained in this paper. The governing boundary layer equation of tangent hyperbolic fluid is converted into an ordinary differential equation using similarity transformations, which is then solved numerically by applying the implicit finite difference Keller box method. The effects of various parameters on velocity profile s are analyzed and discussed in detail. The values of skin friction coefficient are tabulated and plotted in order to understand the flow behavior near the surface of the cylinder. For validity of the model a comparison of the present work with the literature has been made. [ABSTRACT FROM AUTHOR]