In this paper, we have discussed the unsteady hydromagnetic natural convective rotating flow of an electrically conducting, viscous, incompressible and optically thick radiating second grade fluid past an impulsively moving vertical plate entrenched in a fluid inundated porous medium, while temperature of the plate has a temporarily ramped profile. The solutions of the governing equations are obtained by making use of Laplace transform technique. The expressions for skin friction due to primary and secondary flows and Nusselt number are derived for both ramped temperature and isothermal plates. Sherwood number is also obtained. The velocity, temperature and concentration are exhibited graphically whereas the skin friction components, Nusselt number and Sherwood number are in tabular form with reference to governing parameters.
This study bases attention on new similarity solution and new similarity reductions of Phi-four equation has been subjected to Lie’s group theoretic method of infinitesimal transformation (Transformation from nonlinear PDE to nonlinear ODE) .Also produce another new similarity reduction of that equation obtained by direct method. To the best of our knowledge, we are first to obtain a new similarity solution is expressed in terms of trigonometric function and new similarity reductions are successfully reported. Therefore we reported Intermediate integrals of reduced ordinary differential equation
We study the new concept of total outer independent geodetic number of a graph. A geodetic set S V is said to be total outer independent geodetic set if (S) has no isolated vertex and (V - S) is an independent set. We investigate the total outer independent geodetic number of some special graphs.
The theoretical Khare model modified by Y Kumar et al. [J. At. Mol. Sci. (2012)], has been used to calculate the total cross sections for K-shell ionization of two targets, chromium, and cobalt, (i.e., Cr & Co) due to electron impact at incident electron kinetic energy from ionization threshold energy to 1 GeV. This method is based on plane wave Born approximation. The present model requires only two atomic parameters, ionization energy, and atomic number. The calculated cross sections have been compared with the available experimental data and other theoretical cross sections. The present calculated cross sections are in excellent agreement with measured by Liovet et al. [J. Phys.B 33, 2000] and Hoffmann et al. [Z. Phys. Rev. A 22, 1980] for Cr. A good agreement is found between the present calculations and measured An et al. [Chin. Phy. Lett. 18, 2001] and Se et al. [Phys. Lett. 29, 1974]