THERMAL SCIENCE

International Scientific Journal

DARCY-FORCHHEIMER CHARACTERISTICS OF VISCOELASTIC STRATIFIED NANOLIQUID BY CONVECTIVELY HEATED PERMEABLE SURFACE

ABSTRACT
A nonlinear mathematical analysis for non-Darcian magneto-viscoelastic nanoliquid is elaborated in this research. Flow is caused by stratified surface having permeable nature. The Robin's type boundary conditions are imposed at moving surface. Brownian diffusion, heat source and thermophoretic aspects are accounted. Complex systems are simplified through the well-known boundary-layer concept which is subsequently transfigured to ordinary ones via transformation technique. Furthermore the meaningful physical variables arising in non-dimensional problems are elucidated via graphs.
KEYWORDS
PAPER SUBMITTED: 2019-07-08
PAPER REVISED: 2019-09-18
PAPER ACCEPTED: 2019-09-25
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190708387A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1057 - 1065]
REFERENCES
  1. Choi, S. U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles: Proceedings, 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, Cal., USA, ASME, FED 231/MD, 66, 1995, pp. 99-105
  2. Yu, W., et al., Review and Comparison of Nanofluid Thermal Conductivity and Heat Transfer Enhancements, Heat Transfer Eng., 29 (2008), 5, pp. 432-460
  3. Buongiorno, J., Hu, L. W., Nanofluid Heat Transfer Enhancement for Nuclear Reactor Applications, Proceedings, 2nd Micro/Nanoscale Heat and Mass Transfer International Conference, Shangai, China, ASME, 2009, pp. 517-522
  4. Sulochana, C., Sandeep, N., Stagnation Point Flow and Heat Transfer Behavior of Cu-water Nanofluid Towards Horizontal and Exponentially Stretching/Shrinking Cylinders, Appl. Nanosci., 6 (2016), 3, pp. 451-459
  5. Waqas, M., et al., Numerical Simulation for Magneto Carreau Nanofluid Model with Thermal Radiation: A Revised Model, Computer Methods Appl. Mech. Eng., 324 (2017), Sept., pp. 640-653
  6. Shen, B., et al., Bioconvection Heat Transfer of a Nanofluid over a Stretching Sheet with Velocity Slip and Temperature Jump, Thermal Science, 21 (2017), 6A, pp. 2347-2356
  7. Waqas, M., et al., Simulation of Magnetohydrodynamics and Radiative Heat Transport in Convectively Heated Stratified Flow of Jeffrey Nanofluid, Journal of Physics and Chemistry of Solids, 133 (2019), Oct., pp. 45-51
  8. Waqas, M., et al., Modelling and Analysis for Magnetic Dipole Impact in Non-Linear Thermally Radiating Carreau Nanofluid-Flow Subject to Heat Generation, Journal of Magnetism and Magnetic Materials 485 (2019), Sept., pp. 197-204
  9. Dogonchi, A. S., et al., Shape Effects of Copper-Oxide (CuO) Nanoparticles to Determine the Heat Transfer Filled in a Partially Heated Rhombus Enclosure: CVFEM Approach, International Communications in Heat and Mass Transfer, 107 (2019), Oct., pp. 14-23
  10. Waqas, M., et al., Transportation of Radiative Energy in Viscoelastic Nanofluid Considering Buoyancy Forces and Convective Conditions, Chaos, Solitons and Fractals, 130 (2020), Jan., 109415
  11. Umavathi, J. C., Hemavathi, K., Flow and Heat Transfer of Composite Porous Medium Saturated with Nanofluid, Propulsion and Power Research, 8 (2019), 2, pp. 173-181
  12. Darcy, H., Les Fontaines Publiques De La Ville De Dijon, Victor Dalmont, Paris, 1856
  13. P. Forchheimer, Wasserbewegung durch boden (in German), Zeitschrift des Vereins deutscher Ingenieure, 45 (1901), pp. 1782-1788
  14. Muskat, M., Meres, W., The Flow of Heterogeneous Fluids through Porous Media, Journal Appl. Phys., 7 (1936), 346
  15. Sadiq, M. A., et al., Importance of Darcy-Forchheimer Relation in Chemically Reactive Radiating Flow Towards Convectively Heated Surface, Journal Mol. Liq., 248 (2017), Dec., pp. 1071-1077
  16. Hayat, T., Peristalsis of Eyring-Powell Magneto Nanomaterial Considering Darcy-Forchheimer Relation, International Journal of Heat and Mass Transfer, 115 (2017), Part A, pp. 694-702
  17. Hayat, T., et al., Effectiveness of Darcy-Forchheimer and Non-Linear Mixed Convection Aspects in Stratified Maxwell Nanomaterial Flow Induced by Convectively Heated Surface, (ed. English), Applied Mathematics and Mechanics, 39 (2018), Aug., pp. 1373-1384
  18. Sadiq, M. A., et al., Modelling and Analysis of Maxwell Nanofluid Considering Mixed Convection and Darcy-Forchheimer Relation, Applied Nanoscience, 9 (2019), Feb., pp. 115-1162
  19. Waqas, M., et al., Darcy-Forchheimer Stratified Flow of Viscoelastic Nanofluid Subjected to Convective Conditions, Applied Nanoscience, 9 (2019), Sept., pp. 2031-2037
  20. Khan, M. I., et al., The Role of γAl3O3-H2O and γAl2O3-C2H6O2 Nanomaterials in Darcy-Forchheimer Stagnation Point Flow: an Analysis Using entropy Optimization, Int. J. Thermal Sci., 140 (2019), June, pp. 20-27
  21. Liao, S. J., An Optimal Homotopy-Analysis Approach for Strongly Non-Linear Differential Equations, Commun. Non-linear Sci. Numer. Simulat., 15 (2010), 8, pp. 2003-2016
  22. Waqas, M., et al., Magnetohydrodynamic (MHD) Mixed Convection Flow of Micropolar Liquid Due to Non-Linear Stretched Sheet with Convective Condition, Int. J. Heat and Mass Transfer, 102 (2016), Nov., pp. 766-772
  23. Qayyum, S., et al., Non-Linear Thermal Radiation and Magnetic Field Effects on the Flow Carreau Nanofluid with Convective Conditions, Thermal Science, 24 (2018), 2B, pp. 1217-1228
  24. Waqas, M., et al., A Generalized Fourier and Fick's Perspective for Stretching Flow of Burgers Fluid with Temperature-Dependent Thermal Conductivity, Thermal Science, 23 (2018), 6A, pp. 3425-3432
  25. Anwar, M. I., et al., A Modified Fourier-Fick Analysis for Modelling Non-Newtonian Mixed Convective Flow Considering Heat Generation, Thermal Science, 24 (2019), 2B, pp. 1381-1387

© 2022 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