Peristaltic motion of a Carreau fluid in an asymmetric channel

Peristaltic transport of a fluid in channels has been a subject of great interest for the last four decades. Such interest is motivated by several applications of peristaltic flows in engineering and industry. In animals and human bodies, the physiological fluids pumped by the muscular oscillations which correspond to peristaltic activity. In particular, the flow of blood through arteries and veins, the flow of urine through ureter, the motion of chyme in the gastrointestinal tract, transport of food bolus through alimentary canal, the movement of some worms and many others are examples of peristaltic motion. Roller and finger pumps also work in accordance with this motion. After the pioneering work of Latham [1], many investigators have studied the peristaltic motion under different assumptions [2 – 15]. The heat transfer analysis is important in processes of hemodialysis and oxygenation. It is noted from the existing studies that much has not been said about the peristaltic motion with heat transfer. Few studies describing heat transfer effects on the peristaltic motion can be mentioned by the investigations [16 – 22]. Note that analysis of peristaltic motion with heat transfer is of considerable interest in various physical situations. Furthermore, the slip effects in elastic fluids are encountered under a long tangential direction [23 – 26]. Such effects frequently appear in non-Newtonian fluids, flow of blood through capillary vessels, concentrated polymer solutions, and molten polymers.