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Time-Dependent Nonlinear Finite Difference Analysis of Buoyancy-Driven Convective Flow over an Oscillating Porous Moving Vertical Cylinder

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Abstract

The thermal and mass boundary layer flow of a time-dependent isochoric viscous fluid over an oscillating cylinder entrenched in a porous medium is investigated numerically. The governing problem contains a set of coupled nonlinear partial differential equations with significant initial and boundary conditions and are solved using an implicit finite difference scheme, namely Crank–Nicholson method. The importance of physical parameters on velocity profiles, temperature profiles, concentration profiles, local skin-friction coefficient, mean skin-friction coefficient, local Nusselt number, mean Nusselt number, local Sherwood number and mean Sherwood number is explained in detail and is depicted graphically. The validation of these results is verified with the existing results, and it is correlated well.

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Authors and Affiliations

  1. Department of Mathematics, College of Engineering, Guindy, Anna University, Chennai, Tamilnadu, India

    Loganathan Parasuraman

  2. Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai campus, Chennai, Tamilnadu, India

    Dhivya Mohanavel

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  1. Loganathan Parasuraman
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  2. Dhivya Mohanavel
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Correspondence to Loganathan Parasuraman.

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Parasuraman, L., Mohanavel, D. Time-Dependent Nonlinear Finite Difference Analysis of Buoyancy-Driven Convective Flow over an Oscillating Porous Moving Vertical Cylinder. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 91, 89–96 (2021). https://doi.org/10.1007/s40010-020-00676-y

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  • DOI: https://doi.org/10.1007/s40010-020-00676-y

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