Abstract
•Mathematical modelling for the peristaltic flow inside a ciliated elliptic conduit is taken into account.•Heat and Mass transfer is considered for the system•Exact solutions are computed for complicated problem and discuss the main features of biological problem.
The physics of peristaltic flow in elliptic duct with heat and mass transfer effects is mathematically investigated. A non-Newtonian Casson fluid model is considered for this mathematical analysis. The partial differential equations appearing in the non-dimensional form are interpreted by using a novel mathematical technique that provides exact analytical solution for temperature, concentration and velocity profile. Further, the graphical solutions are provided for the verification of mathematical computations. The declining axial pressure gradient for increasing flow rate indicates that this increase in the flow rate is basically assisting the fluid movement. It is also evident from the velocity profile graphs that the increasing flow rate results in an increased flow profile. The flow profile inside this vertically set duct is visualized through streamline graphs. Clearly streamlines are not crossing each other since the velocity at any spot can have only a unique value. Some closed contours are also evident near the central region in these streamline graphs that highlight the trapping phenomenon. A slight increment in trapping is noted for increasing flow rate. Except streamlines the flow profile can also be visualized through streaklines or pathlines but there is no need to plot streaklines or pathlines here since in case of a steady flow they are all identical.
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