The aim of this study is to provide the modeling and exact analytic solutions for hydromagnetic oscillatory rotating flows of an incompressible Burgers’ fluid bounded by a plate. The governing time-dependent equation for the Burgers’ fluid is different than those from the NavierStokes’ equation. The entire system is assumed to rotate around an axis normal to the plate. The governing equations f...

Hydromagnetic effects are analyzed on flow and heat transfer over a horizontal surface placed in an externally squeezed free stream. The unsteady governing momentum and energy equations are transformed to similarity equations for certain families of the controlling parameters. It is found that both local wall shear stress and local Nusselt number increase as squeezing free stream velocity incre...

Taylor–Couette flow in the presence of a magnetic field is a problem belonging to classical hydromagnetics and deserves to be more widely studied than it has been to date. In the nonlinear regime the literature is scarce. We develop a formulation suitable for solution of the full three dimensional nonlinear hydromagnetic equations in cylindrical geometry, which is motived by the formulation for...

Weakly nonlinear stability of regimes of free hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries is considered in the Boussinesq approximation. Perturbations are supposed to involve large spatial and temporal scales. Applying methods for homogenisation of parabolic equations, we derive the system of amplitude equations governing the evol...

Objectives: The present article investigates the steady flow of hydromagnetic Casson fluid past an inclined stretched sheet with existence nonlinear radiation and Joule heating effects. Methods: A numerical model is established then solved using BVP4c MATLAB technique. Findings: In this work we described about influence Grashof number, non-uniform heat source, Biot parameter, hydrodynamics, rad...

In this article I review the fundamentals of solar-dynamo theory. I describe both historical and contemporary observations of the solar magnetic field before outlining why it is believed that the solar field is maintained by a hydromagnetic dynamo. Having explained the basic dynamo process and applications of the theory to the Sun, I shall conclude by speculating on future directions for the th...

Hydromagnetic processes play an important role in many astrophysical systems (e.g. stars, galaxies, accretion discs). This is because the medium is hot enough to be partially or fully ionized. Because of the huge scales involved the medium is usually turbulent, provided there is an instability (shear, convection) facilitating the cascading of energy down to small scales. In turbulence research ...

The predictive power of mean-field theory is emphasized by comparing theory with simulations under controlled conditions. The recently developed test-field method is used to extract turbulent transport coefficients both in the kinematic and the nonlinear or quasi-kinematic cases. A striking example of the quasi-kinematic method is provided by magnetic buoyancy-driven flows that produce an α eff...