Rheological aspects of variable diffusive phenomena in the non-linear stratified second grade nanomaterial under Darcy-Forchheimer theory

Abstract

In real life applications, variations in diffusivity properties are incorporated in order to estimate accurately the transfer rate of heat/mass. This phenomenon has significant impact on liquid diffusion, electronics, moisture migration process, building insulation, vapors diffusion. Thus, present analysis based on the Darcy Forchheimer theory is introduced to study the stagnation flow mechanism in a rotating disk. The nanoparticles to be saturated are illustrated by the constitutive relationship of a second grade fluid. The flow is also subjected to hydro-magnetic phenomenon. Nonlinear stratification along with varying features of thermal conductivity is incorporated for the better understanding of variations in heat transport process. Variable character of thermophoretic and Brownian diffusions on the nanoparticles transportation in the base fluid is also discussed. The features of solutal slip and thermal jump are exercised to examine the mass and heat transfer. Thermal radiation as well as chemical reaction is also assumed in transport equations. The equations govern the physical process are made non-dimensional by introducing appropriate variables. An analytical series solutions are then achieved using a convergent scheme. The behaviors of dimensionless involved constants on flow fields are depicted through graphs. Rates of heat and mass transfers and drag force are also studied through graphical description. In this study, it is concluded that the minimum temperature exists corresponding to higher thermal stratified and temperature jump parameters. Larger inertia parameter enhances the both radial and tangential velocity components. Higher diffusive parameter intensifies the concentration function.

Keywords

• Nanofluid
• Darcy-Forchheimer medium
• MHD
• Variable fluid features
• Nonlinear stratification
• Thermal radiation