Studies on peristaltic motion of newtonian and non newtonian fluid in A curved channel applications to the Physiological conduits

Abstract

The fluid flow generated and regulated by continuous wave propagation on the pliable walls of the channel referred to as peristalsis has sparked the interest of numerous scientists, researchers and physiologists. In physiology, the working rule of peristaltic pumping can be notified in many biological organs such as the movement of a nutrient bolus through the gastrointestinal tract, passage of ovum in the fallopian tubes, blood movement within the arteries and veins, urine motion from the kidneys to the urinary bladder by the urethra, transportation of embryos in the uterus and swallowing food through the oesophagus. Hemodialysis machine, roller pump and finger pump are also exploited based on peristalsis phenomenon. Moreover, the development on the study of non- Newtonian fluids was attracted immediately after knowing that the Navier- Strokes relationships are insufficient to reveal the rheological properties of fluids. In general, most of the fluids are non¬Newtonians, e.g., biofluids, honey, synthetic lubricants, oils, paints, petroleum etc. Due to non- existence of unique constitutive model for exhibiting the - features of the all non Newtonian fluids, various classical models are made te. In available to describe nonlinear relation between shear stress and strain ra fact, most of the investigations deal with the peristaltic movement pattern through planar/straight channel. Since most physiological conduits are curved in nature, they therefore seem curvilinear. However, these flow analyses were not often presented in the literature. Taking curvilinear co-ordinates into account in conservation equations makes nonlinear differential equations more complicated. newline