Activation energy in entropy generated peristalsis of hyperbolic tangent nanomaterials

Exploring nanofluids is a subject of significant research attention. Prevailing theoretical framework frequently highlights the impact of Brownian motion and thermophoresis as primary mechanisms influencing the movement of nanoparticles within nanofluids. The current study examines the features of activation energy for magnetohydrodynamic peristaltic transport of tangent hyperbolic nanomaterial with entropy generation. Buongiorno's nanofluid model comprising thermophoresis and Brownian movement is taken. Thermal radiation and ohmic heating are present. The fluid is considered electrically conductive. Thermal and mass convective conditions are imposed on elastic walls of the channel. The governing problems after lubrication approach are solved numerically by using the techniques bvp4c and NDSolve. Velocity, concentration, thermal field and entropy are addressed graphically. A comparative study between two numerical solutions is carried out. Opposite behavior is observed for velocity against Hartman and Weissenberg numbers. Temperature of fluid is enhanced with the increment of Brownian motion variable. Concentration declines for increasing values of activation energy. The primary purpose of this research is to increase our understanding of peristaltic movement in dynamics of non-Newtonian fluids, particularly hyperbolic tangent fluid. This study intends to shed light on important fluids such as blood in the human circulatory system, with implications for a wide range of sectors including biology and industry, such as magnetic resonance imaging and radiosurgery. Through this inquiry, we hope to expand our scholarly understanding of fluid behavior, particularly in non-Newtonian fluid situations, and contribute to the larger body of knowledge in this field.