Entropy minimization for magneto peristaltic transport of Sutterby materials subject to temperature dependent thermal conductivity and non-linear thermal radiation

In this work peristaltic transport of Sutterby liquid with temperature dependent thermal conductivity in curved configurations is addressed. Inclined magnetic field is considered. Energy expression is modeled with effects of viscous dissipation, non-linear thermal radiation, variable thermal conductivity, Joule heating and heat source/ sink. Lubrication approach in formulation has been implemented. Irregularities are discussed by entropy in the process of heat transfer. Perturbation method has been used for velocity and stream function in this study. However, energy equation is solved numerically. Quantities of interest via important parameters are graphically analyzed. These results witness that velocity decreases both for magnetic field and fluid parameters. Temperature decays for variable thermal conductivity parameter and radiation; whereas, it increases for heat absorption parameter Q(>0). Irregularity is minimum via entropy for enhanced thermal conductivity and radiation parameters. Heat transfer rate increases for increased values of Brinkmann number.

Automated summary

This work addresses the peristaltic transport of Sutterby liquid with temperature-dependent thermal conductivity in curved configurations, considering an inclined magnetic field. The energy expression is modeled with various effects, and perturbation method is used for velocity calculations while the energy equation is solved numerically. The results show that velocity decreases with both magnetic field and fluid parameters, while temperature decreases with variable thermal conductivity and radiation, and increases with heat absorption parameter.Heat transfer rate increases with increased values of Brinkmann number.