The mathematical model of heat exchange and hydrodynamics for three dimensional stationary laminar swirl flow of rheological liquids in curved tubes is presented .
модель, реологически сложная среда, изогнутый канал, закрученный поток, model, rheological liquids, curved tube, swirl flow
1. R. Dean. Fluid Motion in a Curved Channel. Proc. R. Soc. Lond, A 121, 402-420 (1928).
2. G.S. Williams, C.W. Hubbell, G.H. Fenkell. Experiments at Detroit, Mich. On the effect of curvature upon the flow of water in pipes. Trans. ASCE, 47, 1-196 (1902).
3. J.H. Grindley, A.H. Gibson. On the frictional resistance to the flowof air through a pipe. Proc. R. Soc. Lond, A 80, 114-139 (1908).
4. J. Eustice. Flow of water in curved pipes. Proc. R. Soc. Lond, A 84, 107-118 (1910).
5. Ru Yang, Fan, Pin Chiang. An experimental heat transfer study for periodically varying-curvature curved-pipe. International Journal of Heat and Mass Transfer, 45, 3199-3204 (2002).
6. C.E. Kalb, J.D. Seader. Fully developed viscous-flow heat transfer in curved circular tubes with uniform wall temperature. AIChE J, 20, 340-346 (1974).
7. D. Goering, J.A.C. Humphrey. The dual influence of curvature and buoyancy in fully developed tube flows. Int. J. Heat Mass Transfer, 40, 2187-2199 (1997).
8. J. Zhang, B. Zhang, J. Ju. Fluid flow in a rotating curved rectangular duct. Int. J. Heat Fluid Flow, 22, 583-592 (2001).
9. M.R.H. Nobari, B.R. Ahrabi, G. Akbari. A numerical analysis of developing flow and heat transfer in a curved annular pipe. International Journal of Thermal Sciences, 48, 1542-1551 (2009).
10. A.M. Bubenchikov, D.K. Firsov, M.A. Kotovschikova. Laminarnoe vyazkoe techenie v iskrivlennyh kanalah slozhnogo secheniya. Mat. Modelirovanie, 16, 11, 107-119 (2004).
11. A.V. Fafurin, E.A. Fafurina. Kinematicheskaya struktura zakruchennogo potoka. Vestnik Kazan. tehnol. un-ta, 14, 43-46 (2011).
12. S.V. Ananikov. Temperaturnoe pole pri techenii zhidkosti v polubeskonechnom prizmaticheskom kanale treugol'nogo poperechnogo secheniya (granichnye usloviya pervogo roda). Vestnik Kazan. tehnol. un-ta, 6, 147-150 (2012).
13. A.I. Kadyyrov. Teploobmen pri laminarnom techenii nen'yutonovskoy zhidkosti na nachal'nom teplovom uchastke krugloy truby pri razlichnyh zakonah izmeneniya chisla Bio. Trudy Akademenergo, 4, 3-14 (2006).
14. A.I. Kadyyrov, E.K. Vachagina. Issledovanie gidrodinamiki pri laminarnom techenii nen'yutonovskih zhidkostey v izognutom kanale. Teplofizika i Aeromehanika, 19, 3, 279-289 (2012).
15. P. Zhermeyn. Kurs mehaniki sploshnyh sred. Vysshaya shkola, Moskva, 1983, 399s.
16. S.S. Kutateladze, V.I. Popov, E.M. Habahpasheva. K gidrodinamike zhidkostey s peremennoy vyazkost'yu. PMTF, 1, 45-49 (1966).
17. A.I. Kadyyrov. Vliyanie sootnosheniya geometricheskih razmerov na gidrodinamicheskoe soprotivlenie pri techenii nen'yutonovskoy sredy v prizmaticheskih kanalah pri uslovii ravenstva perimetrov poperechnogo secheniya. Izvestiya Samarskogo nauchnogo centra RAN, 12, 1(9), 2236-2238 (2010).
