Mathematical modeling on peristaltic transport of two layered viscous incompressible fluid in relation to varying wall moment

The present paper concerns study of peristaltic transport in relation to temperature effect and varying wall moment. A two layered peristaltic fluid flow model is employed in estimating the physiological flow parameters (velocity, flux, limitation of flux). Peristaltic flows are assumed to be the propagation waves along the flexible walls which can be compared with the transport of blood within the small blood vessels. The elasticity of varying wall consists of distensibility of the layer. The wall of the tube in a man is accounted for four coats and three neural mechanisms. The coats namely serous, muscular submucus and mucus play a role in the forward propulsion and the excellent lubricant. Therefore a series of contractions of the progressive waves enable the fluid to be transported under the peristaltic action. The resulting wave is sinusoidal due to the longitudinal and transverse moments produced by muscular fibers. The amplitude of the traveling wave on the elastic wall is so large that at the narrowest point the wall is pressed by each other. Numerical method is employed for the analytical expression as series form and the corresponding flow rate is studied in relation to peripheral circulation.