CFP last date
22 April 2024
Call for Paper
May Edition
IJCA solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 22 April 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Numerical Study of a Thermal Convection Induced by a Purely Internal Heating in a Rotating Medium Saturated by a Radiating Nanofluid

by Abderrahim Wakif, Zoubair Boulahia, Rachid Sehaqui
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 135 - Number 10
Year of Publication: 2016
Authors: Abderrahim Wakif, Zoubair Boulahia, Rachid Sehaqui
10.5120/ijca2016908529

Abderrahim Wakif, Zoubair Boulahia, Rachid Sehaqui . Numerical Study of a Thermal Convection Induced by a Purely Internal Heating in a Rotating Medium Saturated by a Radiating Nanofluid. International Journal of Computer Applications. 135, 10 ( February 2016), 33-42. DOI=10.5120/ijca2016908529

@article{ 10.5120/ijca2016908529,
author = { Abderrahim Wakif, Zoubair Boulahia, Rachid Sehaqui },
title = { Numerical Study of a Thermal Convection Induced by a Purely Internal Heating in a Rotating Medium Saturated by a Radiating Nanofluid },
journal = { International Journal of Computer Applications },
issue_date = { February 2016 },
volume = { 135 },
number = { 10 },
month = { February },
year = { 2016 },
issn = { 0975-8887 },
pages = { 33-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume135/number10/24088-2016908529/ },
doi = { 10.5120/ijca2016908529 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:35:27.782450+05:30
%A Abderrahim Wakif
%A Zoubair Boulahia
%A Rachid Sehaqui
%T Numerical Study of a Thermal Convection Induced by a Purely Internal Heating in a Rotating Medium Saturated by a Radiating Nanofluid
%J International Journal of Computer Applications
%@ 0975-8887
%V 135
%N 10
%P 33-42
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we use the Buongiorno’s mathematical model for studying numerically the convective instability which is induced by a purely internal heating in a rotating medium confined between two isothermal surfaces and filled of a Newtonian nanofluid layer (water + alumina) in the case where the radiation heat transfer mode is taken into consideration, such that the nanoparticle flux is zero on the boundaries. The linear study which was achieved in this investigation shows that the thermal stability of nanofluids depends of the Coriolis forces generated by the rotation of the system, the thermal radiation parameter, the Brownian motion, the thermophoresis of nanoparticles and other thermo-physical properties of nanoparticles. The studied problem will be solved by converting our boundary value problem to an initial value problem, after this step we will approach numerically the searched solutions using the power series method (PSM).

References
  1. J. Buongiorno, “Convective transport in nanofluids,” Journal of Heat Transfer, vol.128, pp.240-250, 2006.
  2. D.Y. Tzou, “Thermal instability of nanofluids in natural convection,” International Journal of Heat and Mass Transfer, vol.51, pp.2967-2979, 2008.
  3. D.Y. Tzou, “Instability of nanofluids in natural convection”, ASME Journal of Heat Transfer, 130, 2008, 372-401.
  4. D.A. Nield and A.V. Kuznetsov, “The onset of convection in a horizontal nanofluid layer of finite depth,” European Journal of Mechanics B/Fluids, vol.29, pp.217-233, 2010.
  5. Dhananjay Yadav, R. Bhargava and G.S. Agrawal, “Numerical solution of a thermal instability problem in a rotating nanofluid layer,” International Journal of Heat and Mass Transfer, vol.63, pp.313-322, 2013.
  6. Dhananjay Yadav, R. Bhargava and G.S. Agrawal, “Thermal instability in a nanofluid layer with a vertical magnetic field,” J .Eng. Math, vol.80, pp.147-164, 2013.
  7. Dhananjay Yadav, R. Bhargava, G. S. Agrawal, Gyeong S. Hwang, Jinho Lee and M. C. Kim, “Magneto-convection in a rotating layer of nanofluid,” Asia-Pac. J. Chem. Eng., DOI: 10.1002/apj.1796.
  8. R.M. Goody, “The influence of radiative transfer on cellular convection,” J. of Fluid Mech., vol.1, pp.424-435, 1956.
  9. Vedat S. Arpaci, “Effect of thermal radiation on the laminar free convection from a heated vertical plate,” International Journal of Heat and Mass Transfer, vol.11, pp.871-881, 1968.
  10. C. Christophorides and Stephen H. Davis, “Thermal instability with radiative transfer,” Physics of Fluids, vol.13, pp.222-226, 1970.
  11. J. C. Bratis and J.R. Novotny, “Radiation-convection interaction in the boundary layer-regime of an enclosure,” Int. J. Heat Mass Transfer, vol.17, pp. 365-379, 1974.
  12. C. Chang, K. T. Kang and J.R. Lloyd, “Radiation-natural convection interaction in two-dimensional complex enclosure,” ASME J. Heat Transfer, vol.105, pp. 89-95, 1983.
  13. Wen-Mei Yang, “Thermal instability of a fluid layer induced by radiation,” Numerical Heat Transfer, Part A, vol.17, pp. 365-376, 1990.
  14. F. Bdéoui and A. Soufiani, “The onset of Rayleigh-Bénard instability in molecular radiating gases,” Physics of Fluids, vol.9, pp.3858- 3872, 1997.
  15. A. Raptis, “Radiation and free convection flow through a porous medium,” Int. Comm. Heat Mass Transfer, vol.25, pp.289-295, 1998.
  16. M.A. Hossain, M. Kutibuddin and H. S. Takhar, “Radiation interaction on combined forced and free convection across a horizontal cylinder,” Int. J. Applied Mechanics and Engineering, vol.4, pp.219-235, 1999.
  17. A. J. Chamkha, “Effects of heat absorption and thermal radiation on heat transfer in a fluid - particle flow past a surface in the presence of a gravity field,” Int. J. Thermal Sciences,vol. 39,pp. 605-615, 2000.
  18. M. Anwar Hossain, Khalil Khanafer and Kambiz Vafai, “The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate,” Int. J. Thermal Sciences, vol.40, pp. 115-124, 2001.
  19. Vincent E. Larson, “The effects of thermal radiation on dry convective instability,” Dynamics of Atmospheres and Oceans, vol.34, pp. 45-71, 2001.
  20. P. Ganesan and P. Loganathan, “Radiation and mass transfer effects on flow of an incompressible viscous fluid past a moving vertical cylinder,” International Journal of Heat and Mass Transfer, vol.45, pp.4281–4288, 2002.
  21. D.A. Nield and A.V. Kuznetsov, “Thermal instability in a porous medium layer saturated by a nanofluid: a revised model,” International Journal of Heat and Mass Transfer, vol.68, pp.211-214, 2014.
  22. Shilpi Agarwal, “Natural Convection in a Nanofluid-saturated rotating porous layer: a more realistic approach,” Transp. Porous Med., vol.104, pp.581-592, 2014.
  23. A.Wakif , Z.Boulahia and R.Sehaqui, “A Realistic Approach for Studying the Effect of an Internal Heat Source on the Onset of Convection in a Newtonian Nanofluid Layer: rigid-rigid case,” IOSR-Journal of Mathematics,vol.11,issue 5 , Ver. IV, pp.21-30, 2015.http://iosrjournals.org/iosr-jm/papers/Vol11-issue5/Version-4/D011542130.pdf
  24. I.S. Shivakumara, M. Dhananjaya and Chiu-On Ng, “Thermal convective instability in an Oldroyd-B nanofluid saturated porous layer,” International Journal of Heat and Mass Transfer, vol.84, pp.167-177, 2015.
  25. A.Wakif and R.Sehaqui, “A Realistic Study of the Rayleigh-Bénard Problem in the Newtonian Nanofluids with a Uniform Heat Source: Free-Free Case,” International journal of science and research (IJSR), vol.4, issue 10, p. 611-615, 2015.http://www.ijsr.net/archive/v4i10/SUB158772.pdf
  26. A.Wakif , Z.Boulahia and R.Sehaqui, “An accurate method to Study the Rayleigh-Bénard Problem in a Rotating Layer Saturated by a Newtonian Nanofluid,” International Journal of Innovation and Scientific Research,vol.20, issue 1 ,no.1, pp.25-37, 2016.http://www.issrjournals.org/links/papers.php?journal=ijisr&application=pdf&article=IJISR-15-291-01
  27. Dhananjay Yadav, Jinho Lee and Hyung Hee Cho, “Brinkman convection induced by purely internal heating in a rotating porous medium layer saturated by a nanofluid,” Powder Technology, vol.286, pp.592-601, 2015.
  28. M.A. Sheremet, I. Pop and M.M. Rahman, “Three-dimensional natural convection in a porous enclosure filled with a nanofluid using Buongiorno’s mathematical model,” International Journal of Heat and Mass Transfer, vol.82, pp.396-405, 2015.
  29. R. Viskanta and R. J. Grosh, “Boundary layer in thermal radiation absorbing and emitting media,” International Journal of Heat and Mass Transfer, vol.5, pp.795-806, 1962.
  30. C. P. Yu and Y. D. Shih, “Thermal instability of an internally heated fluid layer in a magnetic field,” Physics of Fluids, vol.23, pp.411-412, 1980.
  31. A. Wakif, Z. Boulahia, M. Zaydan, N.Yadil, and R.Sehaqui, “The Power Series Method to Solve a Magneto-Convection Problem in a Darcy-Brinkman Porous Medium Saturated by an Electrically Conducting Nanofluid Layer,” International Journal of Innovation and Applied Studies,vol.14, issue 4,no.4, pp.10481065,2016.http://www.issrjournals.org/links/papers.php?journal=ijias&application=pdf&article=IJIAS-15-322-03
Index Terms

Computer Science
Information Sciences

Keywords

Convection Thermal radiation Purely internal heating Rotation Brownian motion Thermophoresis.

Powered by PhDFocusTM