RETRACTED ARTICLE: Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method

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ORIGINAL PAPER

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Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method Kh. Hosseinzadeh, M. Alizadeh and D. D. Ganji*

Abstract Background: In 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. Methods: By 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. 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. Also, it was found that enhancing the thermophoresis parameter results in decreasing the temperature profile and augmenting the concentration profile. 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. Keywords: Squeezing flow, MHD, Nanofluid, Brownian motion, Thermophoresis phenomenon, Collocation Method (CM), HPM

Background Investigation of heat and mass transfer of viscous flow between two parallel plates is one of the most important and well-known academic research topics because of the wide range of its scientific and engineering approaches, such as polymer processing, systems of lubricating, cooling towers, and food processing. Utilizing nano-scale particles in the base fluid seems to be a creative technique to improve the heat transfer rate. As known, nano-particle-containing fluids are called nanofluids. Choi 1995 was the first one ever to name the nano-particle-containing fluids as nanofluids.

* Correspondence: [email protected] Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

Sheikholeslami and Ganji (2013a) studied analytically the heat transfer of a nanofluid flow compressed between parallel plates using Homotopy Perturbation Method (HPM). They indicated that the Nusselt number is directly related to nanoparticle volume fraction along with Squeeze number and Eckert number for two separated plates, while there is an inverse relationship between the Nusselt number and Squeeze number when two plates are squeezed. Sheikholeslami and Bhatti (2017a) studied the heat transfer enhancement of nanofluid flo