Flow in heated straight rotating pipe

Abstract

Fully developed laminar flow in a straight heated rotating pipe which includes the influence of both, coriolis force and buoyancy force, has been considered analytically. The solution has been obtained in terms of series expansions; the solution is therefore restricted to small values of the parameters involved.

Qualitative Analysis of Nonlinear Hilfer Fractional Implicit Differential Equations in a Banach space

“…In recent years, many researchers have paid attention to fractional calculus as it has plenteous applications in the fields of viscoelasticity, porous media, control, electromagnetic, and so on. It is more suitable for the description of many physical phenomena arising in economics, science, and engineering as compared to classical derivatives and integrals (see, for instance, [21,24,28,22,4,20] and references therein). In 2000, Hilfer [14] introduced the new definition of fractional derivative (known as Hilfer fractional derivative) which is a generalization of Riemann-Liouville fractional derivative as well as an interpolation between Riemann-Liouville and Caputo's fractional derivative.…”