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Three-dimensional magnetohydrodynamic flow of micropolar CNT-based nanofluid through a horizontal rotating channel: OHAM analysis

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Abstract

An examination of simultaneous effects of Hall current and heat radiation on three-dimensional micropolar CNT-based nanofluid flow between two rotating sheets is carried out. The upper sheet is considered to be porous, and the fluid flow is induced due to stretching of the lower sheet. The flow model is presented by a system of nonlinear partial differential equations (PDEs). The leading PDEs are transformed into dimensionless coupled ordinary differential equations by the usual procedure of transformation. The transformed differential equations are solved by the optimal homotopy analysis method in order to analyze the velocity as well as temperature of nanofluid and microrotation of nanotubes. Analysis for physical quantities of interest, viz. skin friction coefficient and Nusselt number, are also carried out for the two kinds of nanotubes, single-wall carbon nanotubes and multiwall carbon nanotubes. It is observed that microrotation of nanotubes increased with the increase in coupling parameter, whereas it slows down with an increase in spin gradient viscosity parameter. An intense magnetic field results in a reduction of skin friction coefficient, whereas an increase in the suction of fluid through upper plate forces a surge in the value of skin friction coefficient.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, Jharkhand, 831014, India

    A. Kumar, R. Tripathi & R. Singh

  2. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad, Jharkhand, 826004, India

    G. S. Seth

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  1. A. Kumar
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  2. R. Tripathi
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  3. R. Singh
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  4. G. S. Seth
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Correspondence to R. Tripathi.

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Kumar, A., Tripathi, R., Singh, R. et al. Three-dimensional magnetohydrodynamic flow of micropolar CNT-based nanofluid through a horizontal rotating channel: OHAM analysis. Indian J Phys 94, 319–332 (2020). https://doi.org/10.1007/s12648-019-01460-4

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  • DOI: https://doi.org/10.1007/s12648-019-01460-4

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