Parallel Concentric Cylinders Research Articles

Electromagnetic Casimir effect of concentric cylinders in (D + 1)-dimensional space–time

We study the electromagnetic Casimir interaction energy between two parallel concentric cylinders in [Formula: see text]-dimensional Minkowski space–time for different combinations of perfectly conducting boundary condition and infinitely permeable boundary condition. We consider two cases where one cylinder is outside each other and where one is inside the other. By solving the equation of motion and computing the TGTG formulas, explicit formulas for the Casimir interaction energy can be derived and asymptotic behavior of the Casimir interaction energy in the nanoregime is calculated by using perturbation technique. We computed the interaction energy analytically up to next-to-leading order term.

Hall and ion slip effects on mixed convection flow of nanofluid between two concentric cylinders

This article analyzes the effects of Hall and ion-slip parameters on mixed convective electrically conducting nanofluid flow between two parallel concentric cylinders considering magnetic field. The governing equations are non dimensionalized. The resulting system of nonlinear ordinary differential equations is solved utilizing homotopy analysis method. The influence of the magnetic parameter, Hall, ion-slip, Brownian motion and thermophoresis parameters on non-dimensional velocity, temperature and nanoparticle volume fraction is analyzed and represented graphically. It is found that increasing Hall and ion-slip parameters decrease the temperature but increase the velocity and nanoparticle volume fraction and the opposite trend observed when magnetic parameter increased. It is observed that as Brownian motion and thermophoresis parameters increase, the velocity and temperature increase but the nanoparticle volume fraction decreases.