Darcy-Forchheimer hybrid (MoS₂, SiO₂) nanofluid flow with entropy generation

Background: The aim of this articles is to investigate the entropy optimization in Darcy-Forchheimer hybrid nanofluids flow towards a stretchable surface. The flow is caused due to stretching of surface. Energy equation is discussed through heat generation/absorption, viscous dissipation and heat flux. Here molybdenum disulfide and silicon dioxide are considered as a nanoparticles and water as continuous phase fluid. Furthermore we examined the comparative analysis of molybdenum disulfide (MoS₂) and silicon dioxide (SiO₂) suspended in water (H₂O). Entropy optimization rate is calculated through implementation of second law of thermodynamics. Method: Nonlinear partial differential equations are reduced to ordinary system through adequate transformation. Here we have employed numerical built in ND solve method to develop numerical outcomes for obtained nonlinear flow expression. Results: Characteristics of various engineering parameters on entropy optimization, velocity, Bejan number and temperature are graphically examined for both molybdenum disulfide and silicon dioxide. Skin friction coefficient and Nusselt number are numerically computed for various interesting parameters for both nanoparticles (SiO₂ and MoS₂). From obtained results it is noted that entropy optimization enhances against larger estimation of radiation and porosity parameters. Temperature and velocity have opposite behaviors for porosity parameter. Comparative study of present and with previous published literature are examined in tabulated form and found good agreement.