THERMAL SCIENCE

International Scientific Journal

Ye-Qi Wang

,

Ahmad Shafique

,

Zaib Un Nisa

,

Muhammad Imran Asjad

,

Mudassar Nazar

,

Mustafa Inc

,

Shao-Wen Yao

UNSTEADY FLOW OF CASSON NANOFLUID THROUGH GENERALIZED FOURIER'S AND FICK'S LAW FOR HEAT AND MASS TRANSFER

ABSTRACT
The purpose of this paper to explain the role and importance of fractional derivatives for mass and heat transfer in Casson nanofluids including clay nanoparticles. These particles can be found in water, kerosene, and engine oil. The physical flow phenomena are illustrated using PDE and thermophysical nanoparticle properties, and this paper addresses the Casson fractional fluid along with chemical reaction and heat generation. The heat and mass fluxes are generalized using the constant proportional Caputo fractional derivative. The present flow model are solved semi-analytically using the Laplace transform. We generated several graphs to understand how various flow factors affect velocity. The acquired results reveal that fractional parameters have dual behavior in velocity profiles. Velocity and temperature are also compared to previous studies. Compared to the other fractional derivatives results, field variables and proposed hybrid fractional derivatives showed a more decaying trend. Furthermore, significant results of clay nanoparticles with various base fluids have been obtained.
KEYWORDS
Casson fluid, clay nanoparticles, heat generation, chemical reaction, constant proportional Caputo, fractional derivative
PAPER SUBMITTED: 2022-08-05
PAPER REVISED: 2022-09-27
PAPER ACCEPTED: 2022-10-10
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI22S1029W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 1, PAGES [29 - 38]
REFERENCES
  1. Wang, F., et al., Unsteady Thermal Transport Flow of Casson Nanofluids with Generalized Mittag-Leffler Kernel of Prabhakar's Type, Journal of Materials Research and Technology, 14 (2021), Sept.-Oct., pp. 1292-1300
  2. Shah, Z., et al., Radiative MHD Casson Nanofluid Flow with Activation Energy and Chemical Reaction Over Past Nonlinearly Stretching Surface Through Entropy Generation, Scientific Reports, 10 (2020), 4402
  3. Zheng, Y., et al., An Investigation on the Influence of the Shape of the Vortex Generator on Fluid Flow and Turbulent Heat Transfer of Hybrid Nanofluid in a Channel, Journal of Thermal Analysis and Calorimetry, 143 (2021), Feb., pp. 1425-1438
  4. Khan, I., et al., Convective Heat Transfer in Drilling Nanofluid with Clay Nanoparticles: Applications in Water Cleaning Process, Bio-Nano Science, 9 (2019), Mar., pp. 453-460
  5. Baleanu, D., Fernandez, A., On Fractional Operators and their Classifications, Mathematics, 7 (2019), 9, pp. 830-839
  6. Hristov, J., Transient Heat Diffusion with a Non-Singular Fading Memory: From the Cattaneo Constitutive Equation with Jeffrey Kernel to the Caputo-Fabrizio Time Fractional Derivative, Thermal Science, 20 (2016), 2, pp. 757-762
  7. Baleanu, D., et al., On a Fractional Operator Combining Proportional and Classical Differintegrals, Mathematics, 8 (2020), 3, pp. 360-372
  8. Asjad, M. I., et al., Application of Water Based Drilling Clay.Nanoparticles in Heat Transfer of Fractional Maxwell Fluid Over an Infinite Flat Surface, Scientific Reports, 11 (2021), 18833
  9. Ahmad, M., et al., Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate, AIMS Mathematics, 6 (2021), 3, pp. 2344-2358
  10. Chu, Y.-M., et al., Fractional Model of Second Grade Fluid Induced by Generalized Thermal and Molecular Fluxes with Constant Proportional Caputo, Thermal Science, 25 (2021), Special Issue 2, pp. S207-S212
  11. Chu, Y.-M., et al., Heat Transfer Flow of Maxwell Hybrid Nanofluids due to Pressure Gradient Into Rectangular Region, Scientific Reports, 10 (2020), 1, 16643
  12. Asadullah, M., et al., Mathematical Fractional Modeling of Transpot Phenomena of Viscous Fluid-Flow Between Two Plates, Thermal Science, 25 (2021), Special Issue 2, pp. 417-421
  13. Saqib, M., et al., Application of Fractional Differential Equations to Heat Transfer in Hybrid Nanofluid: Modeling and Solution Via Integral Transforms, Advances in Difference Equations, 2019 (2019), 52
  14. Tzou, D. Y., Macro to Microscale Heat Transfer, the Lagging Behavior, 2nd ed., Taylor and Francis, Washington DC, USA, 1997, pp. 01-339
  15. Stehfest, H., Algorithm 368: Numerical Inversion of Laplace Transform, Communication of Advanced Composit Material, 13 (1970), 1, pp. 47-49
  16. Menni, Y., et al., Heat and mass transfer of oils in baffled and finned ducts, Thermal Science, 24 (2021), Suppl. 1, pp. S267-276
  17. Arshed, S., et al, Soliton Solutions for Non-Linear Kudryashov's Equation via Three Integrating Schemes, Thermal Science, 25 (2021), Special Issue 2, pp. S157-S163
  18. Ulutas, E., et al., Exact Solutions Of Stochastic Kdv Equation With Conformable Derivatives In White Noise Environment, Thermal Science, 25 (2021), Special Issue 2, pp. S143-S149
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Unsteady flow of Casson nanofluid through generalized Fourier's and Fick's law for heat and mass transfer

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence