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Optimal treatment of stratified Carreau and Casson nanofluids flows in Darcy-Forchheimer porous space over porous matrix

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  • 1. Department of Mathematics, Central University of Himachal Pradesh, Dharamshala 273001, India;
    2. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    3. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam;
    4. Institute of Theoretical and Applied Research(ITAR), Duy Tan University, Hanoi 100000, Vietnam

Received date: 2020-04-25

  Revised date: 2020-06-29

  Online published: 2020-10-24

Abstract

A comparative three-dimensional (3D) analysis for Casson-nanofluid and Carreau-nanofluid flows due to a flat body in a magnetohydrodynamic (MHD) stratified environment is presented. Flow is estimated to be suspended in a Darcy-Forchheimer medium. Soret and Dufour responses are also accommodated in the flow field. A moving (rotating) coordinate system is exercised to examine the bidirectionally stretched flow fields (flow, heat transfer, and mass transfer). Nanofluid is compounded by taking ethylene glycol/sodium alginate as base fluid and ferric-oxide (Fe3O4) as nanoparticles. Governing equations are handled by the application of optimal homotopy asymptotic method (OHAM), where convergence parameters are optimized through the classical least square procedure. The novel mechanism (hidden physics) due to appearing parameters is explored with the assistance of tabular and graphical expositions. Outcomes reveal the double behavior state for temperature field with thermal stratification/Dufour number, and for concentration field with Soret number due to the presence of turning points.

Cite this article

R. KUMAR, R. KUMAR, S. A. SHEHZAD, A. J. CHAMKHA . Optimal treatment of stratified Carreau and Casson nanofluids flows in Darcy-Forchheimer porous space over porous matrix[J]. Applied Mathematics and Mechanics, 2020 , 41(11) : 1651 -1670 . DOI: 10.1007/s10483-020-2655-7

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