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Effectiveness of homogeneous–heterogeneous reactions in Maxwell fluid flow between two spiraling disks with improved heat conduction features

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Abstract

The current paper deals with the role of Cattaneo–Christov heat flux conduction model in rotating axisymmetric flow of Maxwell fluid between two coaxially spiraling disks. This model is a revised version of classical Fourier’s law which predicts the thermal relaxation characteristics. Two disparate situations, such as when the direction of rotation of both disks is same and opposite, are addressed. The system of nonlinear ordinary differential equations narrating momentum, energy and concentration equations is obtained with the transformations executed by von Kármán. A finite difference algorithm-based scheme, namely bvp4c, is implemented for numerical solution. The graphical and tabular trends for radial, azimuthal and axial flows as well as temperature and concentration fields are displayed against various pertinent parameters. The significant outcomes reveal that the impact of Deborah number is to decrease the velocity components in all directions. Additionally, the temperature field decays with the thermal relaxation time. Moreover, a decrease in fluid concentration is observed with increasing homogeneous–heterogeneous reactions parameters.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    Jawad Ahmed, Masood Khan & Latif Ahmad

  2. Department of Basic Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan

    Jawad Ahmed

  3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir, 18000, Pakistan

    Latif Ahmad

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  1. Jawad Ahmed
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  2. Masood Khan
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  3. Latif Ahmad
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Correspondence to Jawad Ahmed.

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Ahmed, J., Khan, M. & Ahmad, L. Effectiveness of homogeneous–heterogeneous reactions in Maxwell fluid flow between two spiraling disks with improved heat conduction features. J Therm Anal Calorim 139, 3185–3195 (2020). https://doi.org/10.1007/s10973-019-08712-9

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