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

Main Article Content

Sadia SIDDIQA Naheed BEGUM A. WAHEED Md. A. HOSSAIN Rama Subba Reddy GORLA

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 Gr is considered and the wavy surface is assume 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 Pr equal to 500.0, are given with the aim to predict the enhancement of heat transport across the heated wavy frustum of the cone.

Article Details

How to Cite
SIDDIQA, Sadia et al. NUMERICAL SOLUTION OF CONTAMINATED OIL ALONG A VERTICAL WAVY FRUSTUM OF A CONE. Thermal Science, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2341>. Date accessed: 24 feb. 2018. doi: https://doi.org/10.2298/TSCI160425231S.
Section
Articles
Received 2017-03-08
Accepted 2017-03-14
Published 2017-03-14

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 Scientific 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.