Effects of Second-Order Velocity Slip and the Different Spherical Nanoparticles on Nanofluid Flow

Jing Zhu,Jiahui Cao,Ye Liu

doi:10.3390/sym13010064

Jing Zhu, Jiahui Cao + Show 1 more

Open Access

https://doi.org/10.3390/sym13010064

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Journal: Symmetry	Publication Date: Dec 31, 2020
Citations: 8	License type: CC BY 4.0

Affiliation: University of Science and Technology Beijing

Abstract

The paper theoretically investigates the heat transfer of nanofluids with different nanoparticles inside a parallel-plate channel. Second-order slip condition is adopted due to the microscopic roughness in the microchannels. After proper transformation, nonlinear partial differential systems are converted to ordinary differential equations with unknown constants, and then solved by homotopy analysis method. The residual plot is drawn to verify the convergence of the solution. The semi-analytical expressions between NuB and NBT are acquired. The results show that both first-order slip parameter and second-order slip parameter have positive effects on NuB of the MHD flow. The effect of second-order velocity slip on NuB is obvious, and NuB in the alumina–water nanofluid is higher than that in the titania–water nanofluid. The positive correlation between slip parameters and Ndp is significant for the titania–water nanofluid.

Highlights

The positive correlation between slip parameters and Ndp is significant for the titania–water nanofluid
The second-order slip condition shows a prominent effect on the velocity profile u/u B in Figures 4 and 7
We conduct a theoretical study on the heat transfer of alumina/water and titania/water nanofluids in a parallel-plate channel

Summary

Introduction

Li et al [1] and Duan et al [2] studied the heat transfer rates of nanofluid in microchannels. Based on the above analysis, he proposed that the homogeneous models are more appropriate for predicting the heat transfer coefficient. By using this model, Yang et al [4] studied the variation of forced convection transport with temperature jump in continuous flow and slip flow regimes. F. Hedayati et al [5] studied the variation of TiO2 − H2 O nanofluid mixing convection within vertical microchannel of nanoparticle migration and asymmetric heating. As a result of the migration of nanoparticles under second-order slip condition and the influence of different nanoparticles, the heat transfer of nanofluids is limited.

Mathematical Analysis

Boundary Conditions

Application of HAM

Convergence of the HAM Solutions

Results and Discussion

Conclusions