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Comparative Analysis of Statistical and Fractional Approaches for Thermal Conductance Through Suspension of Ethylene Glycol Nanofluid

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Abstract

There is no refusing fact that heat transfer is of particular interest to engineers, who control the flow of heat through the use of heat exchangers and thermal insulation for understanding the crucial role of thermal conductivity, viscosity, and cooling efficiency of nanofluids. This manuscript presents the engineering aspects of heat transfer through the nanoparticles (magnetite, aluminum oxide, titanium oxide, and copper) suspended in ethylene glycol and water-based nanofluids with heat absorption and Dufour effects. For the first time, a comparative analysis of statistical and fractional approaches has been investigated on the basis of analytical solutions. The statistical data is obtained for concentration and temperature distributions by varying time, fractional parameter, and Schmidt, Prandtl, and Dufour numbers. The core objective of statistical approach is to analyze the rate of heat transfer based on the correlation with probable error and regression analysis for predicting the relationship among effective parameters, concentration, and temperature distributions. In order to check the rheology of nanoparticles suspended in ethylene glycol and water-based nanofluids, a comparative analysis of velocity field for nanofluids is depicted for higher/lower rate of heat transfers from embedded nanoparticles.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors are highly thankful and grateful to Mehran University of Engineering and Technology, Jamshoro, Pakistan, for generous support and facilities of this research work.

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Authors and Affiliations

  1. Institute of Ground Water Studies, Faculty of Agriculture and Natural Sciences, University of the Free State, Bloemfontein, South Africa

    Kashif Ali Abro & Abdon Atangana

  2. Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan

    Kashif Ali Abro & Imran Qasim Memon

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  1. Kashif Ali Abro
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Correspondence to Kashif Ali Abro.

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Abro, K.A., Atangana, A. & Memon, I.Q. Comparative Analysis of Statistical and Fractional Approaches for Thermal Conductance Through Suspension of Ethylene Glycol Nanofluid. Braz J Phys 52, 118 (2022). https://doi.org/10.1007/s13538-022-01115-6

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