Thermally developed coupled stress particle–fluid motion with mass transfer and peristalsis

The thermally developed particle–fluid motion of a coupled stress fluid through a nonuniform finite wavy channel is studied. A sinusoidal peristaltic wave is traveling in the channel with a constant velocity, long wavelength and low Reynolds number. A coupled stress fluid model is applied to study the flow behavior in the channel. The mathematical model is formulated using dimensionless variables, and exact, analytical solutions are derived. The analytical expressions for the heat transfer, the velocity profile, the stream functions, the concentration profile, and the volumetric flow rate are obtained for the fluid and the particulate phase. Numerical integration is performed to determine the characteristics of the pumping rate. Results are discussed for all the variables examined in terms of the flow parameters.