Entropy generation analysis in peristaltic motion of Sisko material with variable viscosity and thermal conductivity

Here, peristaltic flow of Sisko material is modeled with variable characteristics of thermal conductivity and viscosity via curved configuration. Both are taken as space and temperature dependent. Conservation laws for mass, momentum and temperature are first modeled and then simplified by taking small wavelength and large Reynolds number assumptions. Entropy is also under consideration here to study the irregularities in heat transfer process. Here, series solution is developed for stream function, velocity and pressure gradient. Further, heat equation is solved numerically. These solutions are utilized to plot the behaviors of quantities of interest against the pertinent parameters. Graphical results determine that the velocity rises by larger viscosity parameter while temperature reduces. For larger thermal conductivity parameter, the temperature decays, whereas it increases for Sisko fluid parameter. Irregularity in heat transfer is found minimum through entropy generation for larger viscosity and thermal conductivity.

Automated summary

This study models the peristaltic flow of Sisko material with variable characteristics of thermal conductivity and viscosity, considering space and temperature dependency. Conservation laws, entropy factors, and series solutions are used to analyze the behaviors of velocity and temperature against pertinent parameters. Results show that velocity increases with larger viscosity parameter, while temperature decreases.