Effect of Maxwell Velocity and Smoluchowski Temperature Jump Slip Conditions on Tangent Hyperbolic Nanofluid

Abstract

In this numerical investigation, three-dimensional tangent hyperbolic nanofluid flow past a stretching surface has been analyzed under the Smoluchowski thermal and Maxwell velocity slip conditions at the boundary. For the modification of the flow fields, the magnetic effect has also been incorporated. Nonlinear thermal radiation and Joule heating have also been included to improve heat transmission. The modelled PDEs have been turned into nonlinear ODEs after the application of the appropriate transformation. MATLAB bvp4c algorithm is utilized to achieve the solution of the problem. The code’s legitimacy is accomplished by repeating previously published results in the literature. Efforts are made to discuss the effects of the important parameters on velocities, energy profile, and concentration distribution in detail via graphs and tables. Based on our simulations, an enhancement in the slip parameter leads both velocities to decline. The ratio parameter causes a decline in velocity in the horizontal direction whereas it increases in the vertical direction. The heat transfer rate is boosted as the temperature ratio parameter is increased.

Investigating the Effects of Wu's Slip and Smoluchowski's Slip on Hybrid TiO2/Ag Nanofluid Performance

“…The nanofluid's heat transfer rate was found to decrease the Smoluchowski's parameter increased. A similar trend was observed by Atif et al, [40]. Atif et al, [40] had studied the effect of the slip velocity and Smoluchowski temperature jump on a tangent hyperbolic nanofluid.…”

“…A similar trend was observed by Atif et al, [40]. Atif et al, [40] had studied the effect of the slip velocity and Smoluchowski temperature jump on a tangent hyperbolic nanofluid. The thermal transmission of a Sutterby hybrid nanofluid in solar energy was discussed by Hussain et al, [41].…”

“…The parameters Pr = 7.38, M = 0.1, We = 0.2, α = 0.2, δ1 = 0.5, δ2 = -0.5, δ3 = 0.1, Ec = 0.2, ϕ1 = 0.01 and ϕ2 = 0.01 are utilized as default for the analysis. Besides that, following previous studies, the parameters are taken in range ϕ1 = ϕ1 = {0.01, 0.02, 0.03, 0.04}, δ1 = δ3 = {0.1, 0.5, 1.0, 1.5, 2.0}, δ2 = {-0.5, -1.0, -1.5, -2.0}, to investigate fluid flow behavior and heat transfer [27,40,42,48,49].…”

“…The literature survey indicates that no efforts were made to study the tangent Hyperbolic hybrid nanofluid flows and heat transfer with the influence of Wu's slip and Smoluchowski temperature jump slip. Therefore, following previous studies, the present study aims to theoretically investigate the impact of those slip effects on a hybrid nano-HTF (TiO2/Ag) in a solar collector [17,20,40]. The developed partial governing equations of the proposed fluid problem are initially transformed into ordinary governing equations by the similarity transformation technique.…”