THERMAL SCIENCE

International Scientific Journal

A NOVEL FRACTIONAL STUDY ON FREE CONVECTION FLOW OF BRINKMANN HYBRID NANOFLUID OVER AN INCLINED PLATE

ABSTRACT
In this paper a free convection unsteady Brinkmann hybrid nanofluids including two or more nanoadditives to the host liquid is investigated. The physical flow phenomena are illustrated using PDE and thermophysical nanoparticle properties, and this paper addresses the Brinkmann fractional fluid along with chemical reaction and heat generation with ramped conditions over an inclined vertical plate. The heat and molecular fluxes are generalized using the novel fractional derivative. The present flow model are solved semi-analytically using the Laplace transform. The effects of different parameters specially fractional parameter are deliberated and plotted graphically. The acquired results reveal that fractional parameters have dual behavior in velocity profiles and temperature profile. 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.
KEYWORDS
PAPER SUBMITTED: 2022-09-01
PAPER REVISED: 2022-10-08
PAPER ACCEPTED: 2022-10-20
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI22S1229N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 1, PAGES [229 - 237]
REFERENCES
  1. Aleem, M., et al., The MHD Influence on Different Water Based Nanofluids (TiO2, Al2O3,CuO), Chaos, Solitons and Fractals, 130 (2020), Jan., pp. 109-437
  2. Shah, Z., et al., Heat Transfer and Hybrid Nanofluid-Flow Over a Porous and Stretching/Shrinking Sheet with Brinkmann Model and Multiple Slips, 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, BioNanoScience, 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. 557-562
  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), Sept., pp. 18-33
  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. Rajesh, V., et al., Impact of Hybrid Nanofluids on MHD Flow and Heat Transfer Near a Vertical Plate with Ramped Wall Temperature, Case Studies in Thermal Engineering, 28 (2021), Dec., pp. 101-127
  12. Ul Haq, S., et al., Heat and Mass Transfer of Fractional Second Grade Fluid with Slipage and Ramped Wall Temperature Using Caputo-Fabrizio Fractional Derivative Approch, Mathematics, 5 (2020), 4, pp. 3056-3088
  13. Hristov, J., Transient Heat Diffusion with a Non-Singular Fading Memory from the Cattaneo Constitutive Equation with Jeffrey's Kernel to the Caputo-Fabrizio Time Fractional Derivative, Thermal Science, 20 (2016), 2, pp. 557-562
  14. Tzou, D. Y., Macro to Microscale Heat Transfer, the Lagging Behavior, Taylor and Francis, Washington, Col., 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

© 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