Peristaltic motion of a magnetohydrodynamics oldroyd-B fluid in planar channel with heat transfer

Abstract

Peristalsis is defined as wave of area relaxion contraction and expansion along the length of channel containing the fluid. Peristalsis is also a well known mechanism of fluid transport in biological system. It occurs in gastrointestinal, urinary, reproductive tracts and many other glandular ducts in a living body. Peristaltic motion occurs widely when stenosis is formed in the fluid transport trough the esophagus, urine transport from kidney to bladder through the urethra, chyme movement in gastrointestinal tract, transport of lymph in the lymphatics vessels and in the vasomotion of small blood vessels such as arteries, venules and capillaries. In this dissertation, heat transfer for peristaltic flow of a magnetohydrodynamic Oldroyd-B fluid in a planar channel is studied under the long wavelength and low Reynolds number considerations. This analysis can model the transport of food bolus through esophagus. The analytical expressions for the stream function, the axial velocity, the pressure gradient, the temperature and coefficients of heat transfer are obtained. The effects of various parameters such as the Hartman number, the amplitude ratio, Eckert number and Prandtl number on the flow characteristics are discussed. The results indicate that increasing the Hartmann number decreases the axial velocity, increases the pressure rise in the entire pumping region, and decreases the temperature in the downstream region.