Search

Peristaltic pumping of non –Newtonian fluid generally arises in physiological and engineering applications. The study of the peristaltic transport has become quite interested to several scientists because of its various applications in science and engineering. The objective of the present study is to discuss the peristaltic transport of a Jeffrey fluid with temperature - dependent viscosity in an endoscope (modelled as cylindrical annulus) with partial slip. The effect of variable viscosity in a Jeffrey fluid flow associated with partial slip was not considered till to date. We considered the Vogel's viscosity model. The expressions for temperature, velocity and stream function was obtained by using regular perturbation method in terms of small viscosity parameter. We investigated that the pressure rise decreases with increasing Jeffrey parameter. Graphical effects are presented understand the physical characteristics of different parameters. [ABSTRACT FROM AUTHOR]

The Woods-Saxon potential is probably the most studied and widely used short range potential in all of nuclear physics. For the angular momentum l= 0 case, Flügge had devised a method to obtain an analytical expression for the bound state energies of the radial time-independent Schrödinger equation for a neutron confined in a Woods-Saxon potential well. In this study, we extend Flügge's method to solve the radial Schrödinger equation for a neutron within the Woods-Saxon potential and the centrifugal potential for arbitrary values of l. Here, the Pekeris method is used to deal with the centrifugal term. We obtain an analytical expression for the bound states, valid for arbitrary angular momentum, and show that our expression reduces to that of Flügge, which applies to the l= 0 case. The numerical computations performed also show very good agreement with our analytical expression. [ABSTRACT FROM AUTHOR]

Direct reactions between heavy ions have been studied widely using semi-classical theories. The Distorted Wave Born Approximation or DWBA has been extensively applied to analyse transfer reaction processes. Initial attempts to gain insights into the simple semi-classical parametrisation starting from the DWBA had focused mainly on neutron transfer reactions. An analytical formula for the semi-classical amplitude for the transfer of a single neutron between bound classical orbits states in heavy ion collisions that agrees well with the DWBA calculations has been successfully derived. In this paper, we have successfully derived the corresponding analytical expression for the proton transfer amplitude by using a technique analogous to the transfer of a single neutron between bound states. Our result reduces to the well known expression for the neutron transfer amplitude in the limit that the nuclear charge tends to zero. [ABSTRACT FROM AUTHOR]