THERMAL SCIENCE

International Scientific Journal

UPPER-CONVECTED MAXWELL FLUID ANALYSIS OVER A HORIZONTAL WEDGE USING CATTANEO-CHRISTOV HEAT FLUX MODEL

ABSTRACT
Boundary-layer flow of upper-convected Maxwell fluid over a wedge with suction and heat generation/absorption is presented in this paper by considering the Cattaneo-Christov heat flux model. The governed equations are transformed into a set of the ODE using similarity transformations. A third-order finite difference method for the ODE is used to find the local similarity solutions of the problems. The effects of the wedge angle parameter, viscoelastic fluid parameter, thermal relaxation time parameter, and heat generation/absorption parameter are presented in this study.
KEYWORDS
PAPER SUBMITTED: 2019-05-04
PAPER REVISED: 2019-05-24
PAPER ACCEPTED: 2019-05-27
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI190504270A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1013 - 1021]
REFERENCES
  1. Chhabra, R. P., Non-Newtonian Fluids: An Introduction, Rheology of Complex Fluids, (2010), pp. 3-34
  2. Mukhopadhyay, S., Heat Transfer Analysis of the Unsteady Flow of A Maxwell Fluid Over A Stretching Surface in the Presence of A Heat Source/Sink, Chinese Physics Letters, 29 (2012), 5, pp. 54703
  3. Hayat, T., et al., Mixed Convection Falkner-Skan Flow of A Maxwell Fluid, ASME-Journal of Heat Transfer, 134 (2012), 11, pp. 114504
  4. Sadiq, M. A., Hayat, T., Darcy Forchheimer Flow of Magneto Maxwell Liquid Bounded by Convectively Heated Sheet, Results in Physics, 6 (2016), pp. 884-890
  5. Hayat, T., et al., Simultaneous Effects of Heat Generation/Absorption and Thermal Radiation in Magnetohydrodynamics (MHD) Flow of Maxwell Nanofluid Towards A Stretched Surface, Results In Physics, 7 (2017) pp. 562-573
  6. Cattaneo, C., Sulla Conduzione del Calore (On the Heat Conduction in Italian language), Atti del Seminario Matematico e Fisico dell' Universita di Modena, 3 (1948), pp. 83-101
  7. Christov, C. I., On Frame Indifferent Formulation of the Maxwell-Cattaneo Model of Finite-Speed Heat Conduction, Mechanics Research Communications, 36 (2009), 4, pp. 481-486
  8. Abbasi, F., et al., Analytical Study of Cattaneo-Christov Heat Flux Model for A Boundary Layer Flow of Oldroyd-B Fluid, Chinese Physics B, 25 (2015), 1, pp. 1-6
  9. Waqas, M., et al., Cattaneo-Christov Heat Flux Model for Flow of Variable Thermal Conductivity Generalized Burgers' Fluid, Journal of Molecular Fluids, 220 (2016), pp. 642-648
  10. Sui, J., et al., Boundary Layer Heat and Mass Transfer with Cattaneo-Christov Double-Diffusion in Upper-Convected Maxwell Nanofluid Past A Stretching Sheet with Slip Velocity, International Journal of Thermal Sciences, 104 (2016), pp. 461-468
  11. Anjum, A., et al., Physical Aspects of Heat Generation/Absorption in the Second Grade Fluid Flow due to Riga Plate: Application of Cattaneo-Christov Approach, Results in Physics, 9 (2018), pp. 955-960
  12. Pandey, P. K., A Numerical Method for the Solution of General Third Order Boundary Value Problem, Bulletin of the International Mathematical Virtual Institute, 7 (2017), 129-138
  13. Burden, R. L., Faires, J. D., Numerical Analysis, Ninth Edition, Cengage Learning, Boston, USA, 2011
  14. Han, S., et al., Coupled Flow and Heat Transfer in Viscoelastic Fluid with Cattaneo-Christov Heat Flux Model, Applied Mathematics Letters, 38 (2014), pp. 87-93
  15. Kays, W. M., Crawford, M. E., Convective Heat and Mass Transfer, Third Edition, McGraw-Hill, New Jersey, USA, 1993
  16. Hashim, Khan, M., Authors Response to the Specious Comment on the Paper, On Cattaneo-Christov Heat Flux Model for Carreau Fluid Flow over A Slendering Sheet, Hashim, Masood Khan, Results in Physics, 7 (2017) 310319, Results in Physics, 7 (2017), pp. 1799-1800
  17. Yih, K. A., Uniform Suction/Blowing Effect on Forced Convection about A Wedge: Uniform Heat Flux, Acta Mechanica, 128 (1998), 3-4, pp. 173-181
  18. Khan, W. A., Pop, I., Boundary Layer Flow past A Wedge Moving in A Nanofluid, Mathematical Problems in Engineering, 2013 (2013), pp. 637285
  19. Kasmani, R., et al., Convective Heat Transfer of Nanofluid past A Wedge in the Presence of Heat Generation/Absorption with Suction/Injection, AIP Conference Proceedings, 1605 (2014), pp. 506-511

© 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