In this paper, we analyze the thermal radiation and chemical reaction impacts on MHD peristaltic motion of the Eyring-Powell fluid through a porous medium in a channel with compliant walls under slip conditions for velocity, temperature, and concentration. Assumptions of a long wave length and low Reynolds number are considered. The modeled equations are computed by using the perturbation metho...

The Maxwell equations in the magnetohydrodynamic (MHD) limit in heterogeneous domains composed of conducting and non-conducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an Interior Penalty technique à la Baker [Finite element methods for elliptic equations using non-conforming elements, Math. Comp. 31 (137) (1977) 45–59]. The met...

T his article will p resent some approximate theoretical calculations of transport coefficients for magnet ohydrod ynamic (MHD) cellular automata (CA). Throughou t , the attent ion will be limi ted to two-dime ns ional (2D) models . CA, as possible fluid simu lat ion tools, have recently become an act ive research area [1-4], followi ng several years of basic b ackground investi gat ions on lat...

By using the quantum hydrodynamic and Maxwell equations, we derive the generalized nonlinear electron magnetohydrodynamic, the generalized nonlinear Hall-MHD HMHD , and the generalized nonlinear dust HMHD equations in a self-gravitating dense magnetoplasma. Our nonlinear equations include the self-gravitating, the electromagnetic, the quantum statistical electron pressure, as well as the quantu...

The interaction of a comet with the solar wind undergoes various stages as the comet’s activity varies along its orbit. For a comet like 67P/Churyumov–Gerasimenko, the target comet of ESA’s Rosetta mission, the various features include the formation of a Mach cone, the bow shock, and close to perihelion even a diamagnetic cavity. There are different approaches to simulate this complex interplay...

Lagrangian symmetries and concomitant generalized Bianchi identities associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics, relabeling results in Ertel's theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity. The symmetries of the reduction from Lagrangian (material) to Eu...

In this paper, the flow, thermal and concentration analyses of blood as a third grade with gold as nanoparticles through a porous channel are carried out using regular perturbation method. The analysis are carried out using Vogel’s model of temperature-dependent viscosity. The developed models were used to investigate the effects of the nano particles on the concentration, temperature and veloc...