Role of nanomaterial on irreversibility and heat transport due to stretching surface driven blood flow in the view of Buongiorno and Tiwari-Das models

Abstract

Several strategies are used to increase the heat transmission capabilities of ordinary fluid. Using metallic nanomaterials the thermal conductivity is modified which can improve the energy transport mechanism. Our primary goal is to observe the dual diffusion and volumetric friction of injected nanoparticles in blood flow simultaneously. The Eyring–Powell fluid is speculated as blood on the basis of shear thinner behavior. The entropy formation in the region of stagnation in MHD Eyring–Powell nanofluid flow is scrutinized. The flow is produced by stretchable surface. The impacts of slip mechanism viscous dissipation and melting heating are included in the current analysis. The single and two phase model are used as coupled model to inquire the effects of nanomaterials. System of PDEs are achieved and reduced to ODEs using appropriate variables. The reduced ODEs are solved using RK-4 methodology. It is evident that blood flow is greatly influenced by Lorentz forces and fluid primary parameter. On the other hand, the secondary and increased volumetric rate encourage the flow of blood. The blood temperature is rising function of thermophoresis, Eckert and magnetic parameter. Similar trend for solutal profile was noted against Brownian and Lewis number. The system irreversibility are rising with Brinkman, magnetic and diffusion variable. The coefficient of energy transport rate and frictional drag are rising function of material parameters and volumetric concentration of injected nanomaterial. It is interesting to see that nearly all profile show comparable trend with higher concentration of nanomaterials.

Keywords

• Thermodynamics of blood flow
• Stagnation point flow
• Buongiorno and Tiwari-Das models
• MHD
• Energy-mass transfer