Effects of Double Diffusion Convection on Third Grade Nanofluid through a Curved Compliant Peristaltic Channel

Abstract

Nanofluids are potential heat transfer fluids with improved thermophysical properties and heat transfer performance. Double diffusion convection plays an important role in natural processes and technical applications. The effect of double convection by diffusion is not limited to oceanography, but is also evident in geology, astrophysics, and metallurgy. For such a vital role of such factors in applications, the authors have presented the analytical solutions of pumping flow of third-grade nanofluid and described the effects of double diffusion convection through a compliant curved channel. The model used for the third-grade nanofluid includes the presence of Brownian motion and thermophoresis. Additionally, thermal energy expressions suggest regular diffusion and cross-diffusion terms. The governing equations have been constructed for incompressible laminar flow of the non-Newtonian nanofluid along with the assumption of long wavelength. The obtained analytical expressions for velocity, temperature, and nanoparticle concentration have been sketched for various considerable parameters. The effects of regular buoyancy ratio, buoyancy parameter, modified Dufour parameter, and Dufour-solutal Lewis number have been analyzed along with wall properties and pumping characteristics. This study concludes that fluid becomes hotter with increase in regular buoyancy ratio and a modified Dufour parameter, but a decrease in temperature is observed for the buoyancy parameter. Moreover, the solutal concentration is behaving inversely against the Defour-Solutal Lewis number.

Recent Trends in Coatings and Thin Film: Modeling and Application

“…The effect of double convection by diffusion is not limited to oceanography, but is also evident in geology, astrophysics, and metallurgy. For such a vital role of such factors in applications, Alolaiyan et al [23] have presented the analytical solutions of pumping flow of third-grade nanofluid and described the effects of double diffusion convection through a compliant curved channel. The model used for the third-grade nanofluid includes the presence of Brownian motion and thermophoresis.…”

Influence of peristalsis on the convective flow of two immiscible fluids in a vertical channel

“…Brasseaur et al 25 investigated the significance of two‐layered peristaltic pumping of viscous fluids in a channel. The peristaltic motion of two‐layered flows was also studied by Ramachandra Rao and Usha, 26 Usha and Ramachandra Rao, 27 Misra and Pandey, 28 Vajravelu et al, 29,30 Sreenadh et al, 31 Abd Elmaboud et al, 32 Zeeshan et al, 33 Alolaiyan et al, 34 Ijaz et al, 35 Arain et al, 36 and Ali et al 37,38 …”

Mathematical Analysis of Entropy Generation in the Flow of Viscoelastic Nanofluid through an Annular Region of Two Asymmetric Annuli Having Flexible Surfaces

“…In order to solve the resulting nonlinear system of partial differential equations, we applied the fast converging analytical technique (OHPM). According to the scheme, the deformation equations for the current problem may be written as [33][34][35][36][37]:…”

“…Now we can evaluate pressure gradient p z by solving Equations (37) and (38). The pressure rise ∆p in non-dimensional form contains the expression:…”