Abstract

This article is concerned with the nanofluid flow in a rotating frame under the simultaneous effects of thermal slip and convective boundary conditions. Arrhenius activation energy is another important aspect of the present study. Flow phenomena solely rely on the Darcy–Forchheimer-type porous medium in three-dimensional space to tackle the symmetric behavior of viscous terms. The stretching sheet is assumed to drive the fluid. Buongiorno’s model is adopted to see the features of Brownian diffusion and thermophoresis on the basis of symmetry fundamentals. Governing equations are modeled and transformed into ordinary differential equations by suitable transformations. Solutions are obtained through the numerical RK45-scheme, reporting the important findings graphically. The outputs indicate that larger values of stretching reduce the fluid velocity. Both the axial and transverse velocity fields undergo much decline due to strong retardation produced by the Forchheimer number. The thermal radiation parameter greatly raises the thermal state of the field. The temperature field rises for a stronger reaction within the fluid flow, however reducing for an intensive quantity of activation energy. A declination in the concentration profile is noticed for stronger thermophoresis. The Forchheimer number and porosity factors result in the enhancement of the skin friction, while both slip parameters result in a decline of skin friction. The thermal slip factor results in decreasing both the heat and mass flux rates. The study is important in various industrial applications of nanofluids including the electro-chemical industry, the polymer industry, geophysical setups, geothermal setups, catalytic reactors, and many others.

Highlights

  • Flow analysis comprised of the slip boundary is of utmost interest; especially in the recent past, it has gained importance as compared to no-slip boundary conditions because no-slip is no more beneficial for the procedures that involve suspensions, polymer solutions, foams in which fluid behaves as a particulate, emulsions, etc

  • The early indication about this kind of formulation was reported by Akbar et al [1] and Turkyilmazoglu [2,3] in their articles based on the influence of partial slip in nanofluid flow analysis

  • Thermal radiation, thermal slip, velocity slip, and chemical reaction with Arrhenius activation energy were the important factors involved in this study

Read more

Summary

Introduction

Flow analysis comprised of the slip boundary is of utmost interest; especially in the recent past, it has gained importance as compared to no-slip boundary conditions because no-slip is no more beneficial for the procedures that involve suspensions, polymer solutions, foams in which fluid behaves as a particulate, emulsions, etc. Hayat et al [32] reported Maxwell-type flow of nanofluids using the same rotating frame In this study, this involved the optimal homotopy technique for finding the solutions. The model received importance in the late 1990s, when most of the studies were reported on Darcy-type medium used in fluid flow analysis. This importance was reported especially in the procedures like grain storage, ground water purification systems, beds of fossils, structuring the thermal insulation materials, water motion in reservoirs, units that are solely prepared for energy storage and many others. The pioneer study was reported by Bestman [40] considering the effect of activation energy on the Darcy-type model in fluid flow analysis. The numerical RK45 scheme was applied to solve the problems, and the solutions were plotted graphically for better understanding of the audience

Formulation
Methodology
Analysis of the Solutions
Concluding Remarks
Methods
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call