Peristaltic Transport with wall properties and Partial Slip Effects 1

Abstract

The process of peristaltic transport of fluid is very common in several industrial and physiological applications. In physiology such process is particularly involved in movement of chime in the intestine, swallowing of food through esophagus, bile transport, urine transport from kidney to bladder etc. roller and finger pumps also operate under the principle of peristalsis. This activity is involved in corrosive fluid transport. A large number of theoretical investigations dealing with peristaltic flows of viscous and non-Newtonian fluids have been analyzed since the early attempts by Latham [1]. Some recent studies on the title may be seen in the refs. [2-15]. In all these investigations, the flow analysis have been conducted using one or more assumptions of long wavelength, small wave number, low Reynolds number, small amplitude ratio etc. In [15] the authors have developed a mathematical model for the influence of wall properties on the peristaltic transport of viscous fluid in a channel. The constructed model is realistic physiologically from neuron-muscular properties of any smooth muscle. Motivated by such fact, the present dissertation is arranged as follows. Chapter one includes the basic definitions and laws relevant to the analysis of chapters two and three. Chapter two describes the peristaltic transport of viscous fluid in a channel with wall properties. Heat and mass transfer are present. The first order chemical reaction effects are considered. Chapter three extends the flow analysis in chapter two for the partial slip effects. Partial slip effect is formulated in terms of shear stress. Graphical results are displayed and discussed. Important conclusions have been pointed out.