Czasopismo
2008
|
Vol. 13, no 2
|
311-323
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The steady, laminar, natural convection flow of a third grade fluid in a vertical circular pipe is investigated when a constant temperature is maintained at the walls of the pipe. The flow is governed by a pair of coupled equations in velocity and temperature fields involving the parameters K, which is the product of the Eckert and Prandtl number, and [...] which is a measure of the third grade fluid parameter. Solutions are obtained (i) by numerical integration of the differential equations governing the flow, and (ii) by seeking a perturbation solution in terms of the parameter K. The results are compared and appropriate conclusions drawn regarding the applicability of the perturbation solution. It is shown that the effect of the third grade fluid parameter is to counteract the influence of the parameter K on the flow.
Rocznik
Tom
Strony
311-323
Opis fizyczny
Bibliogr. 13 poz., tab., wykr.
Twórcy
autor
- Department of Mathematical Sciences Trinity Western University 7600, Glover Road Langley, BC, Canada V2Y 1Y1, CANADA, dariel@twu.ca
Bibliografia
- England R. (1969): Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations. - Comp. J., vol.12, pp.166-170.
- Erdogan E. (1981): Steady pipe flow of a fluid of fourth grade. - ZAMM, vol.61, pp.466-469.
- Fosdick R.L. and Rajagopal K.R. (1980): Thermodynamics and stability of fluids of third grade. - Proc. Royal Soc. (London), vol.A 339, p.351-377.
- Massoudi M. and Christie I. (1990): Natural convection flow of a non-Newtonian fluid between two concentric vertical cylinders. - Acta Mech., vol.82, pp.11-19.
- Nanda R.S. and Sharma V.P. (1963): Free convection flow with and without heat sources in circular pipe. - Appl. Sci. Res., vol.12A, pp.279-291.
- Ostrach S. (1952): Laminar Natural Convection Flow and Heat Transfer of Fluids with and without Heat Sources in Channels with Constant Wall Temperatures. - NACA TN 2863.
- Rajagopal K.R. and Na T.Y. (1985): Natural convection flow of a non-Newtonian fluid between two vertical flat plates. - Acta Mech., vol.54, pp.239-246.
- Rao A. and Kameshwara (1962): Laminar natural convection flow with suction or injection. - Appl. Sci. Res., vol.11A, pp.1-9.
- Rivlin R.S. and Ericksen J.L. (1955): Stress deformation relations for isotropic materials. - J. Ration. Mech. Anal., vol.4, pp.323-425.
- Shampine L.F., Allen Jr. R.C. and Pruess S. (1997): Fundamentals of Numerical Computing. - New York: John Wiley and Sons.
- Shenoy A.V. and Mashelkar R.A. (1982): Thermal Convection in Non-Newtonian Fluids (Advances in Heat Transfer, vol.15). - Academic Press.
- Truesdell C. and Noll W. (1965): The Non-Linear Field Theories of Mechanics (Handbuch der Physik, III/3). - Berlin ( Heidelberg ( New York, Springer.
- Vajravelu K. (1978): Free convection heat transfer between two long, vertical, thin plates moving in opposite directions. - Ind. J. Tech., vol.16, pp.399-403.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0036-0002