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Influence of heat transfer on the peristaltic transport of Walters B fluid in an inclined annulus

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The aim of the present analysis is to investigate the effects of endoscope and heat transfer on the peristaltic flow of an incompressible Walters B fluid in an inclined tube.… Click to show full abstract

The aim of the present analysis is to investigate the effects of endoscope and heat transfer on the peristaltic flow of an incompressible Walters B fluid in an inclined tube. The fluid fills the gap between coaxial uniform tubes, such that the inner tube is rigid, circular and outer tube has sinusoidal wave travelling down its wall. The governing equations for Walters B fluid model are considered in cylindrical polar coordinates in moving frame of reference. The governing coupled partial differential equations are solved analytically employing regular perturbation method. The graphical results have been discussed for velocity, pressure gradient, pressure difference, frictional force, temperature and trapping phenomena. Four different wave forms have been considered for investigation. Trapping phenomena has been presented for different wave forms. It is observed that the pressure gradient is an increasing function of volume flow rate, heat generation parameter and inclination angle. The pumping rate increases from horizontal tube to vertical tube. Best pumping can be seen when the radius of the endoscope increases. The size of the trapping bolus increases with increase of wave amplitude ratio.

Keywords: transfer peristaltic; heat transfer; heat; walters fluid; fluid inclined

Journal Title: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Year Published: 2017

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