Steady Two-dimensional Magnetohydrodynamic Flow Research Articles

Estimation of entropy generation and heat transfer of magnetohydrodynamic quadratic radiative Darcy–Forchheimer cross hybrid nanofluid (GO + Ag/kerosene oil) over a stretching sheet

The steady two-dimensional magnetohydrodynamic flow and heat transfer behavior of Darcy–Forchheimer non-Newtonian (Cross) hybrid nanofluid consisting of Go/Kerosene oil and Go + Ag/Kerosene oil through the porous medium past astretched sheet are analyzed here. The heat energy is augmented with quadratic thermal radiation, Ohmic heating, and convective boundary conditions. There is a huge market for nanotechnology, and the development of these materials can be predicted to be very light. Non-Newtonian hybrid nanofluids have several uses in the biomedical, culinary, industrial, and polymer industries. The governing set of nonlinear partial differential equations is converted to ordinary differential equations before being solved numerically. Numerical simulation is completed through MATLAB solver bvp4c by setting the default tolerance. The solver is applied recursively to achieve the desired accuracy in picking the best blend of the assorted parameters we entrenched in the system. The influence of different fluid flow parameters on the velocity, temperature, skin friction, and local Nusselt number are analyzed tabularly and graphically. It is observed that velocity and temperature profile upsurges for the higher values of Weissenberg number. It is also found that quadratic thermal radiation has a significant impact on fluid temperature and heat transfer rate. Forchheimer number and magnetic field resistance make the flow slower and cause enhancement in liquid temperature. Further, adding a volume fraction of silver with Graphene oxide becomes responsible for stabilizing the flow and enhancing heat transportation. The entropy generation becomes more significant with quadratic thermal radiation and Eckert number.

Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet

An analysis is made for the steady two-dimensional magneto-hydrodynamic flow of an incompressible viscous and electrically conducting fluid over a stretching vertical sheet in its own plane. The stretching velocity, the surface temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The transformed boundary layer equations are solved numerically for some values of the involved parameters, namely the magnetic parameter M, the velocity exponent parameter m, the temperature exponent parameter n and the buoyancy parameter λ, while the Prandtl number Pr is fixed, namely Pr = 1, using a finite difference scheme known as the Keller-box method. Similarity solutions are obtained in the presence of the buoyancy force if n = 2m−1. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that both the skin friction coefficient and the local Nusselt number decrease as the magnetic parameter M increases for fixed λ and m. For m = 0.2 (i.e. n = −0.6), although the sheet and the fluid are at different temperatures, there is no local heat transfer at the surface of the sheet except at the singular point of the origin (fixed point).

MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface

The present analysis comprises the steady two-dimensional magnetohydrodynamic flow of an upper-convected Maxwell fluid near a stagnation-point over a stretching surface. The governing non-linear partial differential equation for the flow are reduced to an ordinary differential equation by using similarity transformations. The analytic solution of nonlinear system is constructed in the series form using Homotopy analysis method. Convergence of the obtained series is discussed explicitly. The effects of the sundry parameters on the velocity profile is shown through graphs. The values of skin-friction coefficient for different parameters is tabulated.

Steady two-dimensional magnetohydrodynamic flow II

Pour illustrer les effets d'un champ magnetique sur un ecoulement plant stationnaire d'un fluide non visqueux ideal, parfaitement conducteur de l'electricite, on envisage ici les cas particuliers ou le champ magnetique a une composante differente de zero. Si on considere les regimes d'onde simple ou le champ magnetique est en chaque point normal au plan de l'ecoulement, qualitativement tout se passe en gross comme dans le cas de la dynamique des gas classique. Enfin, on utilise l'analyse lineaire pour etudier les faibles perturbations non-isentropiques d'un ecoulement initialement uniforme.

Steady two-dimensional magnetohydrodynamic flow

Steady two-dimensional magnetohydrodynamic flow

STEADY MAGNETOHYDRODYNAMIC FLOW PAST A NONCONDUCTING WEDGE

This paper presents a study of the steady two-dimensional magnetohydrodynamic flow of an infinitely conducting fluid past a nonconducting wedge with nonaligned flow and magnetic field. The flows considered are in the superfast or fully hyperbolic regime. The flows consist of several regions of uniformity connected by shocks and expansion waves. Because of the boundary condition on the magnetic field, the magnetic field must be the same in the regions above and below the wedge; thus the flows in these regions are coupled, unlike in the case of ordinary supersonic gasdynamics. Only small wedge angles and weak waves (characteristics) are considered. The problem thus is linearized, and explicit solutions are obtained which are qualitatively similar to the nonlinear solutions. Some interesting and unexpected features arise, and they are discussed in detail.