Abstract

BackgroundIn this paper, the heat and mass transfer of MHD nanofluid squeezing flow between two parallel plates are investigated. In squeezing flows, a material is compressed between two parallel plates and then squeezed out radially. The significance of this study is the hydrothermal investigation of MHD nanofluid during squeezing flow. The affecting parameters on the flow and heat transfer are Brownian motion, Thermophoresis parameter, Squeezing parameter and the magnetic field.MethodsBy applying the proper similarity parameters, the governing equations of the problem are converted to nondimensional forms and are solved analytically using the Homotopy Perturbation Method (HPM) and the Collocation Method (CM). Moreover, the analytical solution is compared with numerical Finite Element Method (FEM) and a good agreement is obtained.ResultsThe results indicated that increasing the Brownian motion parameter causes an increase in the temperature profile, while an inverse treatment is observed for the concentration profile. Also, it was found that enhancing the thermophoresis parameter results in decreasing the temperature profile and augmenting the concentration profile.ConclusionsEffects of active parameters have been considered for the flow, heat and mass transfer. The results indicated that temperature boundary layer thickness will increases by augmentation of Brownian motion parameter and Thermophoresis parameter, while it decreases by raising the other active parameters.

Highlights

  • E Conclusions: Effects of active parameters have been considered for the flow, heat and mass transfer

  • The results indicated that temperature boundary layer thickness will increases by augmentation of Brownian motion parameter and Thermophoresis parameter, while it decreases by raising the other active parameters

  • This software performs the essentransfer of MHD nanofluid flow between parallel plates is investigated, and Collocation Method (CM), Homotopy Perturbation Method (HPM) along with the finite element Method (FEM) are applied to solve this problem using Maple 16 and FlexPDE 5 softwares

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Summary

Results

The results indicated that increasing the Brownian motion parameter causes an increase in the temperature profile, while an inverse treatment is observed for the concentration profile. D enhancing the thermophoresis parameter results in decreasing the temperature profile and augmenting the concentration profile

E Conclusions
Methods
E Boundary conditions are described as follows:
C Considering the boundary conditions
E Nb ð28Þ
Availability of data and materials Not applicable
Conclusion
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