POISEUILLE FLOW OF A JEFFREY FLUID IN AN INCLINED ELASTIC TUBE

The flow of a Jeffrey fluid in an inclined elastic tube is investigated. The expressions for velocity and flux flow rate are determined. The flux is determined as a function of inlet, outlet, external pressures, non-Newtonian Jeffrey parameter and the elastic parameters of the tube. The effects of different parameters on the velocity and the flux are discussed. It is observed that the effects of Jeffrey parameter and elastic parameters have strong effects on the pumping phenomena. When the Jeffrey parameter and inclination parameter tends to zero, our results agree with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Further the increasing elastic parameters and inclination parameter increase the flux of the non-Newtonian fluid in the elastic tube