Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks

This investigation describes the nanofluid flow in a non-Darcy porous medium between two stretching and rotating disks. A nanofluid comprises of nanoparticles of silver and copper. Water is used as a base fluid. Heat is being transferred with thermal radiation and the Joule heating. A system of ordinary differential equations is obtained by appropriate transformations. Convergent series solutions are obtained. Effects of various parameters are analyzed for the velocity and temperature. Numerical values of the skin friction coefficient and the Nusselt number are tabulated and examined. It can be seen that the radial velocity is affected in the same manner with both porous and local inertial parameters. A skin friction coefficient depicts the same impact on both disks for both nanofluids with larger stretching parameters.

Chemically reactive and radiative von Kármán swirling flow due to a rotating disk

A new mathematical model is presented to study the heat and mass transfer characteristics of magnetohydrodynamic(MHD) Maxwell fluid flow over a convectively heated stretchable rotating disk. To regulate the fluid temperature at the surface, a simple isothermal model of homogeneous-heterogeneous reactions is employed. The impact of nonlinear thermal radiative heat flux on thermal transport features is studied. The transformed nonlinear system of ordinary differential equations is solved numerically with an efficient method, namely, the Runge-Kutta-Felberg fourth-order and fifth-order(RKF45)integration scheme using the MAPLE software. Achieved results are validated with previous studies in an excellent way. Major outcomes reveal that the magnetic flux reduces the velocity components in the radial, angular, and axial directions, and enhances the fluid temperature. Also, the presence of radiative heat flux is to raise the temperature of fluid. Further, the strength of homogeneous-heterogeneous reactions is useful to diminish the concentration of reaction.

Modeling Chemically Reactive Flow of Sutterby Nanofluid by a Rotating Disk in Presence of Heat Generation/Absorption

In this article we investigate the flow of Sutterby liquid due to rotating stretchable disk. Mass and heat transport are analyzed through Brownian diffusion and thermophoresis. Further the effects of magnetic field, chemical reaction and heat source are also accounted. We employ transformation procedure to obtain a system of nonlinear ODE's. This system is numerically solved by Built-in-Shooting method. Impacts of different involved parameter on velocity, temperature and concentration are described. Velocity, concentration and temperature gradients are numerically computed. Obtained results show that velocity is reduced through material parameter. Temperature and concentration are enhanced with thermophoresis parameter.

Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow

The second-grade fluid flow due to a rotating porous stretchable disk is modeled and analyzed. A porous medium is characterized by the Darcy relation. The heat and mass transport are characterized through Cattaneo-Christov double diffusions.The thermal and solutal stratifications at the surface are also accounted. The relevant nonlinear ordinary differential systems after using appropriate transformations are solved for the solutions with the homotopy analysis method(HAM). The effects of various involved variables on the temperature, velocity, concentration, skin friction, mass transfer rate, and heat transfer rate are discussed through graphs. From the obtained results,decreasing tendencies for the radial, axial, and tangential velocities are observed. Temperature is a decreasing function of the Reynolds number, thermal relaxation parameter,and Prandtl number. Moreover, the mass diffusivity decreases with the Schmidt number.

Computational modeling and analysis for the effect of magnetic field on rotating stretched disk flow with heat transfer

Time-dependent viscous fluid flow due to a stretchable rotating disk is investigated.Magnetic field is applied in vertical direction to the disk.Temperature equation is assisted with Joule heating effect.Governing system of PDE's is transformed to dimensionless form by suitable variables.One of the numerical techniques known as finite difference scheme is adopted to tackle the given dimensionless partial differential system.This method results in a system of simple algebraic equations.The unknown function is analyzed inside domain of interest.In this technique of solution,a system is subdivided into many smaller parts called finite elements.The obtained simpler algebraic equations are then assembled to form a system of equations which governs the original problem.Variational method is used to get approximate solution by reducing the error function.Behaviors of pertinent variables on surface drag force,temperature,velocity and heat transfer rate are shown graphically.The obtained outcomes guarantee that velocity decreases for Hartmann number while it enhances with Reynolds number.Temperature increases for higher Prandtl,Eckert and Hartmann numbers.Skin friction boosts for larger values of Hartmann number.Nusselt number enhances with Hartmann number.