THERMAL SCIENCE

International Scientific Journal

NUMERICAL SOLUTION OF CONTAMINATED OIL ALONG A VERTICAL WAVY FRUSTUM OF A CONE

ABSTRACT
The effect of wavy surface on natural convection flow of two-phase dusty fluid over a vertical frustum of a cone is presented in this paper. The boundary-layer regime having the large value of Grashof number is considered and the wavy surface is assumed to have wavelength and amplitude of O(1). A sinusoidal surface is used as a particular example to elucidate the heat transfer mechanism near such surfaces. The transformed boundary-layer equations are solved numerically and detailed results for the skin friction and rate of heat transfer coefficients are presented for a selected parameters: wavy surface amplitude, half cone angle, mass concentration parameter, and dust parameter. Comprehensive flow formations of the contaminated oil having Prandtl number equal to 500.0, are given with the aim to predict the enhancement of heat transport across the heated wavy frustum of the cone.
KEYWORDS
PAPER SUBMITTED: 2016-04-25
PAPER REVISED: 2016-04-26
PAPER ACCEPTED: 2016-08-18
PUBLISHED ONLINE: 2016-10-01
DOI REFERENCE: https://doi.org/10.2298/TSCI160425231S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 6, PAGES [2933 - 2942]
REFERENCES
  1. Rudinger, G., Fundamentals of gas-particle flow, Elsevier Scientific Publishing Co., Amsterdam, 1980.
  2. Saffman, P. G., On the stability of laminar flow of a dusty gas, J. Fluid Mech., 13, 1962, 120-128.
  3. Marble, F. E., Dynamics of a gas containing small solid particles, combustion and propulsion, 5th AGARD colloquium, Pergamon press, 1963.
  4. Singleton, R. E., Fluid mechanics of gas-solid particle flow in boundary layers, Ph.D. Thesis, California Institute of Technology, 1964.
  5. Michael, D. H. and Miller, D. A., Plane parallel flow of a dusty gas, Mathematica, 13, 1966, 97-109.
  6. Datta, N. and Mishra, S. K., Boundary layer flow of a dusty fluid over a semi-infinite flat plate, Acta Mechanica, 42, 1982, 71-83.
  7. Siddiqa, S., Hossain, M. A. and Saha, S. C., Two-phase natural convection flow of a dusty fluid, Int. J. Numer. Methods Heat Fluid Flow, 45, 2015, 1542-1556.
  8. Yao, L. S., Natural convection along a vertical wavy surface, J. Heat Transfer, 105, (1983) 465-468.
  9. Moulic, S. G., Yao, L. S., Natural convection along a wavy surface with uniform heat flux, J. Heat Transfer, 111, (1989) 1106-1108.
  10. Rees, D. A. S., Pop, I., Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium, J. Heat Transfer, 117, (1995) 545-550.
  11. Hossain, M. A., Pop, I., Magnetohydrodynamic boundary layer flow and heat transfer on a continuous moving wavy surface, Arch. Mechanics, 48, (1996) 813-823.
  12. Hossain, M. A., Rees, D. A. S., Combined heat and mass transfer in natural convection flow from a vertical wavy surface, Acta Mechanica, 136, (1999) 133-141.
  13. Siddiqa, S., Hossain, M. A., Saha, S. C., Natural convection flow with surface radiation along a vertical wavy surface, Numerical Heat Transfer, Part A: Applications, 64, (2013) 400-415.
  14. Siddiqa, S., Hossain, M. A., Saha, S. C., The effect of thermal radiation on the natural convection boundary layer flow over a wavy horizontal surface, Int. J. of Thermal Sciences, 84, (2104) 143-150.
  15. Pop, I., Natural convection of a darcian fluid about a wavy cone, Int. Commun. Heat Mass transfer, 21, (1994) 891-899.
  16. Pop, I., Na, T. Y., Natural convection from a wavy cone, Appl. Sci. Res., 54, (1995) 125-136.
  17. Pop, I., Na, T. Y., Natural convection over a vertical wavy frustum of a cone, J. Nonlinear Mechanics, 34, (1999) 925-934.
  18. Molla, M. M., Hossain, M. A., Gorla, R. S. R., Radiation effects on natural convection boundary layer flow over a vertical wavy frustum of a cone, Proc. IMechE Part C: J. Mechanical Engineering Science, 223, (2009) 1605-1614.
  19. Siddiqa, S., Hossain, M. A., Begum, N., Radiation effects on natural convection flow along a vertical wavy cone with variable fluid properties, submitted in: J. of App. Math., (2015).
  20. Na, T. Y., Chiou, J. P., Laminar natural convection over a frustum of a cone, Applied Scienti c Research, 35, (1979) 409-421.
  21. Apazidis, N., Temperature distribution and heat transfer in a particle-fluid flow past a heated horizontal plate, Int. J. Multiphase Flow, 16, (1990), 495-513.

© 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