THERMAL SCIENCE

International Scientific Journal

EFFECT OF VARIABLE THERMAL CONDUCTIVITY ON THE MHD BOUNDARY-LAYER OF CASSON-NANOFLUID OVER A MOVING PLATE WITH VARIABLE THICKNESS

ABSTRACT
The effect of variable thermal conductivity on the characteristics of heat transfer and mechanical properties of a moving surface on a Casson nanofluid flow as a coolant has been studied in this paper. We used similarity transformation method to transform the equations of the governing boundary-layer into ODE which are solved numerically using a mix of fourth order Runge-Kutta method and find root technique. Different values relevant parameters have been studied on the features of velocity, temperature, and the profiles of concentration and discussed in details for different values of various parameter as shape parameter, heat source parameter, radiation parameter, and magnetic parameter. The results were compared with previous published researches and obtained it in a good agreement and the results were tabulated. Furthermore, Nusselt number, Sherwood number, and the skin friction values with different parameters were calculated and the influence of theses physical quantities on the mechanical properties on the surface are analyzed and discussed in details.
KEYWORDS
PAPER SUBMITTED: 2019-03-24
PAPER REVISED: 2019-05-20
PAPER ACCEPTED: 2019-06-05
PUBLISHED ONLINE: 2019-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190324293I
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 1, PAGES [145 - 157]
REFERENCES
  1. Sheikholeslami, M., Application of Nanofluid for Heat Transfer Enhancement, Elsevier, Amsterdam, The Netherlands, 2013
  2. Bachok, N., et al., Boundary-Layer Flow of Nanofluids over a Moving Surface in a Flowing Fluid, International Journal of Thermal Sciences, 49 (2010), 9, pp. 1663-1668
  3. Gbadeyan, J. A., et al., Boundary Layer Flow of a Nanofluid past a Stretching Sheet, Australian Journal of Basic and Applied Sciences, 5 (2011), 9, pp. 1323-1334
  4. Olanrewaju, P. O., et al., Internal Heat Generation Effect on Thermal Boundary Layer, American Journal of Fluid Dynamics, 2 (2012), 1, pp. 1-4
  5. Abdel‑Wahed, M. S., et al., Flow and Heat Transfer over a Moving Surface with Non-Linear Velocity and Variable Thickness in a Nanofluid in the Presence of Brownian Motion, Applied Mathematics and Computation, 254 (2015), Mar., pp. 49-62
  6. Abdel-Wahed, M. S., Rotating Ferro-Nanofluid over Stretching Plate under the Effect of Hall Current and Joule Heating, Journal of Magnetism and Magnetic Materials, 429 (2017), May, pp. 287-293
  7. Abdel-Wahed, M. S., Lorentz Force Effect on Mixed Convection Micropolar Flow in a Vertical Conduit, The European Physical Journal Plus, 132 (2017), 5, ID 195
  8. Abdel‑Wahed, M. S., Flow and Heat Transfer of a Weak Concentration Micropolar Nanofluid over Steady/Unsteady-Moving Surface, Applied Physics A, 123 (2017), 3, ID 195
  9. Hady, F. M., et al., Radiation Effect on Viscous Flow of a Nanofluid, Nanoscale Research Letters, 7 (2012), ID 229
  10. Madaki, A. G., et al., Flow and Heat Transfer of Nanofluid over a Stretching Sheet with Non-Linear Velocity in the Presence of Thermal Radiation and Chemical Reaction, AIP Conference Proceedings, 1830 (2017), 1, ID 020014
  11. Olanrewaju, P., et al., Internal Heat Generation Effect on Thermal Boundary-layer, American Journal of Fluid Dynamics, 2 (2012), 1, pp. 1-4
  12. Elbashbeshy, E. M. A., et al. Flow and Heat Transfer over a Moving Surface with Non-Linear Velocity and Variable Thickness in a Nanofluid in the Presence of Thermal Radiation, Can. J. Phys., 92 (2013), Mar., pp. 124-130
  13. Sharma, M. K., et al., Effect of Branch Angle and Magnetic Field on the Flow through a Bifurcating Vessel, Journal of Mathematics, 11 (2015), 2, pp. 8-20
  14. Hamad, M. A. A., et al., Magnetic Field Effects on Free Convection Flow of a Nanofluid, Non-Linear Analysis: Real World Applications, 12 (2011), 3, pp. 1338-1346
  15. Abdel‑Wahed, M. S., Emam, T., MHD Boundary Layer Behaviour over a Moving Surface in a Nanofluid under the Influence of Convective Boundary Conditions, Journal of Mechanical Engineering, 63 (2017), 2, pp. 119-128
  16. Khan, W. A., Pop, I., Free Convection Boundary Layer Flow past a Horizontal Flat Plate, International Journal of Thermal Sciences, 56 (2012), June, pp. 48-57
  17. Elbashbeshy, E. M. A., et al., An Exact Solution of Boundary Layer Flow over a Moving Surface, Heat Mass Transfer, 50 (2013), 1, pp. 57-64
  18. Abdel‑Wahed, M. S., Non-Linear Rosseland Thermal Radiation and Magnetic Field Effects on Flow and Heat Transfer over a Moving Surface with Variable Thickness in a Nanofluid, Canadian Journal of Physics, 95 (2017), 3, pp. 267-273
  19. Reddy, S., et al., MHD Flow and Heat Transfer Characteristics of Williamson Nanofluid over a Stretching Sheet with Variable Thickness and Variable Thermal Conductivity, Transactions of A. Razmadze Mathematical Institute, 171 (2017), 2, pp. 195-211
  20. Mohammadein, S.A., et al., KKL-Model of MHD CuO-Nanofluid Flow over a Stagnation Point Stretching Sheet with Non-Linear Thermal Radiation and Suction/Injection, Results in Physics, 10 (2018), Sept., pp. 194-199
  21. Abdel‑Wahed, M. S., Magnetohydrodynamic Ferro-Nano Fluid Flow in a Semi-Porous Curved Tube under the Effect of Hall Current and Non-Linear Thermal Radiative, Journal of Magnetism and Magnetic Materials, 474 (2019), Mar., pp. 347-354
  22. Hayat, T., et al., Soret and Dufour effects on (MHD) Flow of Casson Fluid, Applied Mathematics and Mechanics, 33 (2012), 10, pp. 1301-1312
  23. Bhattacharyya, K., et al., Analytic Solution for Magnetohydrodynamic Boundary Layer Flow of Casson Fluid, Chinese Physics Journal, 22 (2013), 2, pp. 1-6
  24. Senthilkumar, K., Thiagarajan, M., DTM-Pade Approximants of MHD Boundary-Layer Flow of a Casson Fluid, United States of America Research Journal, 1 (2013), 1, pp. 1
  25. Pushpalatha, K., Numerical Study of Chemically Reacting Unsteady Casson Fluid Flow, Open Eng, 7 (2017), 1, pp. 69-76
  26. Ismail, H, N., et al., Thermal Radiative Effects on MHD Casson Nanofluid Boundary Layer Over a Moving Surface, Journal of Nanofluids, 7 (2018), 5, pp. 910-916
  27. Anderson, J. D., Governing Equations of Fluid Dynamics, in: Computational Fluid Dynamics (ed. Wendt, J. F.), Springer-Verlag, Berlin, Heidelberg, Germany, 1992
  28. Clouet, J. F. , The Rosseland Approximation for Radiative Transfer Problems in Heterogeneous Media, Journal of Quantitative Spectroscopy and Radiative Transfer, 58 (1997), 1, pp. 33-43

© 2021 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