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Bayesian and Numerical Techniques for Non-Newtonian Bödewadt Nanofluid Flow Above a Stretchable Stationary Disk

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Abstract

An incompressible three-dimensional hydromagnetic Bödewadt flow of Casson nanofluid above a stationary stretching disk is studied. Water is taken as the base fluid containing nanoparticles namely copper (Cu), copper oxide (CuO) and silver (Ag). Appropriate transformation variables are used to reduce the governing flow model into a system consisting of nonlinear ordinary differential equations. Numerical results are calculated by shooting method. Numerical values of skin-friction coefficient and local-Nusselt number for various quantities are calculated. A statistical method, namely Bayesian approach, is implemented in order to measure the correlation among the physical parameters and variables to determine the intensity of linear association. Multipurpose graphs are also plotted to understand the posterior distribution features along with the strength and direction of relationship. Graphical results are plotted against the obtained physical parameters. Two-dimensional and three-dimensional plots are generated for the visualization of flow analysis. The results indicated that the Nusselt number is enhanced against the increasing Biot number and Prandtl number values for Ag-water nanofluid. The 100% probability of the positive correlation among magnetic parameter and skin-friction coefficient is observed, while 100% probability of the negative correlation is noticed between magnetic parameter and axial velocity at the infinity. The radial velocity field is enhanced against the increased Casson parameter and is reduced by the imposed magnetic field.

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Authors and Affiliations

  1. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    U. Hani & J. A. Khan

  2. Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Islamabad, 57000, Pakistan

    A. Rauf, F. Mustafa & S. A. Shehzad

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  1. U. Hani
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  2. J. A. Khan
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  3. A. Rauf
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  4. F. Mustafa
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  5. S. A. Shehzad
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Correspondence to A. Rauf.

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Hani, U., Khan, J.A., Rauf, A. et al. Bayesian and Numerical Techniques for Non-Newtonian Bödewadt Nanofluid Flow Above a Stretchable Stationary Disk. Arab J Sci Eng 47, 15931–15945 (2022). https://doi.org/10.1007/s13369-022-06773-x

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