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Significance of Lorentz Force and Viscous Dissipation on the Dynamics of Propylene Glycol: Water Subject to Joule Heating Conveying Paraffin Wax and Sand Nanoparticles Over an Object with a Variable Thickness

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Abstract

With emphasis on the motion of PG–Water + Paraffin Wax + Sand and PG–Water + Paraffin Wax on an object with a variable thickness experiencing Joule dissipation and nth order chemical reaction, nothing is known on the increasing Lorentz force, viscous dissipation, Prandtl number, and Schmidt number. The mathematical model that governs the transport phenomenon presented in this report was reduced to a coupled ordinary differential equations, non-dimensionalized, parameterized, and solved numerically using bvp4c solver (MATLAB built-in function). A statistical tool (correlation coefficient) was used to confirm the impact of pertinent parameters on heat and mass transfer rates, and surface drag force. It is worth concluding that magnetic field parameter and Eckert number have significant negative association with heat transfer rate. There is a significant positive association among chemical reaction parameter and mass transfer rate. Fluid temperature ameliorates with larger Eckert number, and surface drag force diminishes with larger magnetic field parameter. Prandtl number minimizes the temperature and escalates the heat transfer rate. Concentration minifies with larger Schmidt number and chemical reaction parameter. Furthermore, it is detected that the fluid concentration gets ameliorated with the raise in the order of chemical reaction.

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Authors and Affiliations

  1. Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, Andhra Pradesh, 522502, India

    Venkata Subrahmanyam Sajja

  2. Department of Mathematics, Gokaraju Rangaraju Institute of Engineering and Technology, Bachupally, Hyderabad, 500090, India

    Revathi Gadamsetty

  3. Department of Mathematics, National Institute of Technology, Warangal, Telangana, 506004, India

    P. Muthu

  4. Department of Mathematics, S.V.A. Government College, Srikalahasti, Andhra Pradesh, 517644, India

    M. Jayachandra Babu

  5. Department of Mathematical Sciences, Fluid Dynamics and Survey Research Group, Federal University of Technology, PMB 704, Akure, Nigeria

    I. L. Animasaun

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  1. Venkata Subrahmanyam Sajja
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  2. Revathi Gadamsetty
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  3. P. Muthu
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  4. M. Jayachandra Babu
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Correspondence to I. L. Animasaun.

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Sajja, V.S., Gadamsetty, R., Muthu, P. et al. Significance of Lorentz Force and Viscous Dissipation on the Dynamics of Propylene Glycol: Water Subject to Joule Heating Conveying Paraffin Wax and Sand Nanoparticles Over an Object with a Variable Thickness. Arab J Sci Eng 47, 15505–15518 (2022). https://doi.org/10.1007/s13369-022-06658-z

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