Peristaltic flow of Non-Newtonian Nano fluid in an asymmetric channel

Abstract

Peristaltic is a mechanism to pump a fluid by means of progressive area of contraction or expansion on the length of a distensible tube or channel containing fluid. This mechanism has large number applications in physiology, industry and biosciences. Some typical applications include urine transport from kidney to bladder through ureter, vasomotorin small blood vessels. Some recent studies dealing the peristaltic flows different flow geometries are given in the refs.[1-10]. Recently, the peristaltic flows of non-Newtonian fluids have gained considerable attention. In nature there is not a single model which exhibits all the properties of fluids. Therefore, numerous models have been reported to discuss different aspects of the fluid. Some new fluid models are reported in the refs.[11-15]. Very recently, the flow of Williamson fluid model has given much importance due to its large number of applications. Some important studies on the Williamson fluid are reported in the paper [15-20]. The purpose of the present dissertation is to examine the peristaltic flow of Williamson fluid model in an asymmetric channel with or without Nanoparticle volume fraction. The solutions are constructed with the help of regular perturbation method and Homotopy perturbation method. In chapter one we have examined the peristaltic flow a Williamson fluid in an asymmetric channel. The analytical solutions are found under the assumption of long wavelength and low Reynolds approximations. Chapter two is devoted to study peristaltic flow of Nano non-Newtonian fluid in an asymmetric channel. The assumption of long wavelength and low Reynolds approximations and then solved analytically with the help of HPM.