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Applied Mathematics and Mechanics >

2021 , Vol. 42 >Issue 7: 1063 - 1076

DOI: https://doi.org/10.1007/s10483-021-2748-6

Articles

Numerical and statistical approach for Casson-Maxwell nanofluid flow with Cattaneo-Christov theory

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  • 1. Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan;
    2. Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan;
    3. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Received date: 2021-02-24

  Revised date: 2021-04-26

  Online published: 2021-06-24

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Abstract

The rheological features of an incompressible axi-symmetric Casson-Maxwell nanofluid flow between two stationary disks are examined. The lower permeable disk is located at z=-a, while the upper disk is placed at z=a. Both the disks are porous and subjected to uniform injection. The fluid properties such as thermal conductivity vary with temperature. The Cattaneo-Christov thermal expression is implemented along with the Buongiorno nanofluid theory. By operating the similarity functions, the reduced form of the fluid model in terms of ordinary differential equations is obtained and solved by the bvp4c numerical technique. The physical quantities are demonstrated graphically on the velocity and temperature fields. Three-dimensional flow arrangements and twodimensional contour patterns against several dimensionless variables are also sketched. The numerical values of the local Nusselt and Sherwood numbers for various quantities are presented in tabular set-up. The intensity of the linear relationship between the Nusselt and Sherwood numbers is assessed through Pearson’s product-moment correlation technique. The statistical implication of the linear association between variables is also examined by the t-test statistic approach.

Key words： Casson-Maxwell fluid; porous disk; Buongiorno theory; variable thermal conductivity; Cattaneo-Christov model; uniform injection

Cite this article

T. MUSHTAQ, A. RAUF, S. A. SHEHZAD, F. MUSTAFA, M. HANIF, Z. ABBAS . Numerical and statistical approach for Casson-Maxwell nanofluid flow with Cattaneo-Christov theory[J]. Applied Mathematics and Mechanics, 2021 , 42(7) : 1063 -1076 . DOI: 10.1007/s10483-021-2748-6

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