THERMAL SCIENCE

International Scientific Journal

UNSTEADY BOUNDARY LAYER FLOW AND HEAT TRANSFER OF OLDROYD-B NANOFLUID TOWARDS A STRETCHING SHEET WITH VARIABLE THERMAL CONDUCTIVITY

ABSTRACT
This paper presents a time dependent boundary layer flow and heat transfer of an incompressible Oldroyd-B nanofluid past an impulsively stretching sheet. Heat transfer analysis is carried out by taking thermal conductivity as a function of temperature. The non-dimensionalized partial differential equations are solved using bivariate spectral quasi-linearization method). The employs the concept of quasi-linearization to obtain a linear system of partial differential equations which is subsequently solved using a spectral collocation method that uses bivariate Lagrange interpolating polynomials as basic functions. This method is found to converge rapidly and is very effective in yielding accurate results. Numerical results have been presented graphically to illustrate the details of flow and heat transfer characteristics and their dependence on some of the physical parameters.
KEYWORDS
PAPER SUBMITTED: 2014-10-10
PAPER REVISED: 2015-01-01
PAPER ACCEPTED: 2015-02-02
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S39M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S239 - S248]
REFERENCES
  1. Choi, S. U. S., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Developments and Applications of non-Newtonian Flows (Eds. D. A. Siginer, H. P. Wang), FED-Vol. 231/MD-vol. 66, ASME, New York, USA, 1995, pp. 99-105
  2. Choi, S. U. S., et al., Anomalously Thermal Conductivity Enhancement in Nanotube Suspensions, Appl. Phys. Lett., 79 (2001), 14, pp. 2252-2254
  3. Buongiorno, J., Convective Transport in Nanofluids, J. Heat Transfer, 128 (2006), 3, pp. 240-250
  4. Nadeem, S., et al., Numerical Solution of non-Newtonian Nanofluid Flow over a Stretching Sheet, Appl. Nanosci., 4 (2014), 5, pp. 625-631
  5. Nadeem, S., et al., Numerical Study of Boundary Layer Flow and Heat Transfer of Oldroyd-B Nanofluid towards a Stretching Sheet, PLoS ONE, 8 (2013), 8, e69811
  6. Uddin, M. J., et al., Group Analysis and Numerical Computation of Magneto-Convective non- Newtonian Nanofluid Slip Flow from a Permeable Stretching Sheet, Appl. Nanosci., 4 (2014), 7, pp. 897-910
  7. Khan, W. A., et al., Three Dimensional Flow of an Oldroyd-B Nanofluid Towards Stretching Surface with Heat Generation/Absorption, PLoS ONE, 9 (2014), 8, e105107
  8. Bachok, N., et al., Unsteady Boundary Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet, Int. J. Heat Mass Transf., 55 (2012), 7, pp. 2102-2109
  9. Khan, M. S., et al., Unsteady MHD Free Convection Boundary Layer Flow of a Nanofluid along a Stretching Sheet with Thermal Radiation and Viscous Dissipation Effects, Int. Nano Letters, 2 (2012), 24, pp. 1-24
  10. Mustafa, M., et al., Unsteady Boundary Layer Flow of Nanofluid past an Impulsively Stretching Sheet, J. Mechanics, 29 (2013), 3, pp. 423-432
  11. Beg, O. A., et al., Explicit Numerical Study of Unsteady Hydromagnetic Mixed Convective Nanofluid Flow from an Exponentially Stretching Sheet in Porous Media, Appl. Nanosci., 4 (2014), 8, pp. 943-957
  12. Bhatnagar, R. K., et al., Flow of an Oldroyd-B Fluid due to a Stretching Sheet in the Presence of a Free Stream Velocity, Int. J. Non-Linear Mech., 30 (1995), 3, pp. 391-405
  13. Hayat, T., et al., Some Simple Flows of an Oldroyd-B Fluid, Int. J. Eng. Sci., 39 (2001), 2, pp. 135-147
  14. Sajid, M., et al., Boundary Layer Flow of an Oldroyd-B Fluid in the Region of Stagnation Point over a Stretching Sheet, Can. J. Phys., 88 (2010), 9, pp. 635-640
  15. Hayat, T., et al., Three Dimensional Flow of Oldroyd-B Fluid over Surface with Convective Boundary Condition, Appl. Math. Mech., 34 (2013), 4, pp. 489-500
  16. Shehzad, S. A., et al., Three Dimensional Flow of an Oldroyd-B fluid with Variable Thermal Conductivity and Heat Generation/Absorption, PLoS ONE, 8 (2013), 11, e78240
  17. Motsa, S. S., et al., A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations, The Scientific World Journal, 2014 (2014), ID 581987
  18. Trefethen, L. N., Spectral Methods in MATLAB, SIAM, Philadelphia, Penn., USA, 2000

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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