Flow through a rotating helical pipe with a wide range of the Dean number

• Autorzy: Alam M. M. , Ota M. , Ferdows M. , Islamv M. N. , Wahiduzzaman M. , Yamamoto K.
• Języki publikacji: EN

Abstrakty

EN

THE INCOMPRESSIBLE viscous steady flow through a helical pipe of circular cross-section, rotating at a constant angular velocity about the center of curvature is investigated numerically to examine the combined effects of rotation (Coriolis force), torsion and curvature (centrifugal force) on the flow. The flow depends on the Taylor number Tr =…, the Dean number Dn =…- , the torsion parameter … and the dimensionless curvature of the duct …, where a is the radius of the helical pipe, HT the angular velocity, // the viscosity, v the kinematic viscosity, G the constant pressure gradient along the pipe axis and … - a parameter related to the torsion T and curvature 5, When … > 0, the rotation is in the direction in which the Coriolis force produces the curvature effect. When QT < 0, the rotation is in the direction in which the Coriolis force exhibits an opposite effect to that of curvature. The calculations are carried out for -500 < Tr < 500, 1500 < Dn < 2000 (large Dean number), 0 < (30 < 0.4 and 0 < … < 0.2. The total flux through the duct has a sharp peak at a negative Tr.

Słowa kluczowe

EN

Dean number; numerical analysis; rotating helical pipe; flux behavior; flow behavior

PL

liczba Deana; analiza numeryczna; obracająca się rura śrubowa; zachowanie strumienia; zachowanie przepływu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2007
• Tom: Vol. 59, nr 6
• Strony: 501--517
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Alam M. M.

autor

Ota M.

autor

Ferdows M.

autor

Islamv M. N.

autor

Wahiduzzaman M.

autor

Yamamoto K.

• Mathematics Discipline, Khulna University Khulna-9208, Bangladesh

Bibliografia

• 1. BERGER S.A. and TALBOT L., Flow in curved pipes, Ann. Rev. Fluid Mechanics, 15, 461 512, 1983.
• 2. Chen, W.H. and FAN C.N., Finite element analysis of incompressible viscous flow in a helical pipe, Computational Mechanics, 1, 281-292, 1986.
• 3. CHEN W. and JAN R., The characteristics of Laminar flow in a helical circular pipe, Journal of Fluid Mechanics, 244, 241-256, 1992.
• 4. DASKOPOULOS P. and LENHOFF A.M., Flow in curved ducts: bifurcation structure for stationary ducts, Journal of Fluid Mechanics, 203, 125-148, 1989.
• 5. DASKOPOULOS P. and LENHOFF A.M., Flow in curved ducts: Part 2. Rotating ducts, Journal of Fluid Mechanics, 217, 575-593, 1990.
• 6. DEAN W.R., Note on the Motion of Fluid in a Curved Pipe, Philosophical Magazine and Journal of Science, 4, 20, 208-223, 1927.
• 7. GERMANO M., On the effect of torsion on a helical pipe flow, Journal of Fluid Mechanics, 125, 1-8, 1982.
• 8. GERMANO M., The Dean equations extended to a helical pipe flow, Journal of Fluid Mechanics, 203, 289-305, 1989.
• 9. ITO H., Secondary flow in rotating curved pipe, The reports of the Institute of High Speed Mechanics, Tohoku University, Sendai, Japan, 29, 270, 33-57, 1974.
• 10. ITO H., Flow in curved pipes, JSME International Journal, 30, 262, 543-552, 1987.
• 11. ISHIGAKI H., Analogy between laminar flows in curved pipes and orthogonally rotating pipes, Journal of Fluid Mechanics, 268, 133-145, 1994.
• 12. KAO H.C., Torsion effect on fully developed flow in a helical pipe, Journal of Fluid Mechanics, 184, 335-356, 1987.
• 13. Liu S. and MASLIYAH J.H., Axially invariant laminar flow in helical pipes with a finite pitch, Journal of Fluid Mechanics, 251, 315-353, 1993.
• 14. MANLAPAZ R.L. and CHURCHILL S.W., Fully developed laminar flow in a helically coiled tube of finite pitch, Chemical Engineering Communications, 7, 57-78, 1993, 1980.
• 15. MIYAZAKI H., Combined free- and forced-convective heat transfer and fluid flow in rotating curved circular tube, International Journal of Heat and Mass Transfer, 14, 1295-1309, 1971.
• 16. MURATA S. MlYAKE, Y., INABA T. and OGAWA H., Laminar flow in a helically coiled pipe, Bulletin of the JSME, 24, 355-362, 1981.
• 17. NANDAKUMAR K. and MASLIYAH J.H., Bifurcation in steady laminar flow through curved tubes, Journal of Fluid Mechanics, 119, 475-490, 1982.
• 18. TUTTLE E.R., Laminar flow in twisted pipes, Journal of Fluid Mechanics, 219, 545-570, 1990.
• 19. XIE D.E., Torsion effect on secondary flow in a helical pipe, International Journal of Heat and Fluid Flow, 11, 114-119, 1990.
• 20. WANG C.Y., On the low~Reynolds-7iumber flow in a helical pipe, Journal of Fluid Mechanics, 108, 185-194, 1981.
• 21. YANASE S., YAMAMOTO K. and YOSHIDA T., Effect of curvature on dual solutions of flow through a curved circular pipe, Fluid Dynamics Research, 13, 217-228, 1994.
• 22. YAMAMOTO K., YANASE S. and YOSHIDA T., Torsion effect on the in a helical pipe, Fluid Dynamics Research, 14, 259 273, 1994.
• 23. YAMAMOTO K., AKITA T., IKEUCHI H. and KITA Y., Experimental study of the flow in a helical circular tube, Fluid Dynamics Research, 16, 237-249, 1995.
• 24. YAMAMOTO K., MAHMUD ALAM, JUNICI-I YASUHARA and AGUS ARIBOWO, Flow through a rotating helical pipe with circular cross-section, International Journal of Heat and Fluid Flow, 21, 213-220, 2000.