Torsional dynamic analysis of carbon nanotubes under the effect of longitudinal magnetic field is carried out in the present study. Torque effect of an axial magnetic field on a carbon nanotube has been defined using Maxwell’s relation. Nonlocal governing equation and boundary conditions for carbon nanotubes are obtained by using Hamilton’s minimum energy principle. Eringen’s nonlocal stress gr...

a new hybrid modal-moment method is proposed to calculate fields penetrated through small apertures on rectangular metallic enclosures. first, the method of moments is used to numerically solve the governing electric field integral equation for the equivalent two-dimensional surface-current distributions on the surface of metallic enclosure including any number of rectangular apertures of arbit...

We show that the scalar curvature of a Riemannian manifold $M$ is constant if it satisfies (i) concircular field equation and compact, (ii) special equation. Finally, we that, complete connected admits non-isometric vector leaving invariant, conformal function concircular, then constant.

Abstract We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We showed that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables. The obtained angular equation is a generalization of the equation for spheroidal functions. The radial equation is similar to the radial Teukolsky e...