The existence and uniqueness of solutions to the two-dimensional stochastic magneto-hydrodynamic system is established in the presence of either a multiplicative noise or an additive fractional Brownian noise. The method of monotonicity is employed when the noise is multiplicative. In the case of a fractional Brownian noise, a unique mild solution of the system is established under suitable con...

The main objective of this work is to analyze and compare the numerical solutions an unsteady separated stagnation point flow due a Riga plate using copper–alumina/water graphene–alumina/water hybrid nanofluids. generates electro-magnetohydrodynamics (EMHD) which expected delay boundary layer separation. energy equations are mathematically developed based on assumptions. These then simplified w...

Ion transport in polyelectrolyte membranes (charged hydrogels) is of significant technological (and biological) importance, but little known how micro-structural inhomogeneity affects ionic conductivity. Whereas a uniform electric field drives uni-directional electro-migrative and electro-osmotic ion fluxes perfectly microstructures, this study considers the influence spherical inclusions/cavit...

Angular momentum transport must have occurred in the Sun’s radiative zone to explain its current solid body rotation. We survey the stability of the early Sun’s radiative zone with respect to diffusive rotational instabilities, for a variety of plausible past configurations. We find that the (faster rotating) early Sun was prone to rotational instabilities even if only weak levels of radial dif...

Squeezing flow of a Casson fluid is considered between two parallel disks. Upper disk is taken to be impermeable but capable of moving towards or away from the lower fixed and porous disk. Governing equations are derived with the help of conservation laws combined with suitable similarity transforms. Homotopy analysis method (HAM) is then been employed to determine the solution to resulting ord...

This work presents a study on the computational homogenization of electro-magneto-mechanically coupled problems through Virtual Element Method (VEM). VE-approaches have great potential for physical properties heterogeneous polycrystalline microstructures with anisotropic grains. The flexibility in element shapes can be exploited creating VE-mesh significant lower number degrees freedom if compa...

Abstract This paper investigates electro-magneto-elastic free vibration responses of piezomagnetic cylindrical nano panel subjected to electro-magneto-mechanical loads based on third-order theory. Third-order shell theory is used for description the displacement field. The zero transverse shear strains are obtained using Hamilton’s principle employed obtain governing equations motion. a couplin...

We study the effect of magnetic field on electro-hydrodynamics ion transport in a liquid electrolyte near an ion-selective membrane using direct numerical simulation. Ion across selective plays essential role many electro-hydrodynamic and electro-microfluidic systems. Above critical voltage, electroconvective instability occurs surface, causing vortical flows which enhances mixing cations anion...

Steady two dimensional MHD stagnation point flow of a power law fluid over a stretching surface is investigated when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation point. The fluid impinges on the surface is considered orthogonally. Numerical and analytical solutions are obtained for different cases.