In this article, the research of the laminar flow regime of nonlinear-viscous fluid in a circular pipe in the vicinity of thermal explosion considering impact of dissipative and chemical sources of heat was carried out. As the boundary conditions we adopted the conditions of the fluid slip on the channel wall and the third type thermal boundary conditions. Research of the energy equation was made by the method based on functions decomposition in Taylor series.
течение нелинейно-вязкой жидкости, ламинарный режим, граничные условия третьего рода, for nonlinear viscous fluid, laminar boundary conditions of the third type
1. Frank-Kameneckiy D.A. Teploperedacha i diffuziya v himicheskoy kinetike. Moskva, izd-vo Nauka, 1987.
2. Merzhanov A.G., Barzykin V.V., Abramov V.G. «Teoriya teplovogo vzryva: ot N.N. Semenova do nashih dney» // Himicheskaya fizika. 1996, t.15 №6, s. 3-43.
3. Bostandzhinyan S.A., Merzhanov A.G., Hudyaev S.I.«O Gidrodinamicheskom teplovom vzryve» // Doklady Akademii nauk SSSR 1965, t. 163 №1 s. 133-136.
4. Nazmeev Yu.G., Malov K.M., Sharapov A.R. «Bifurkacionnyy analiz uravneniya energii dvizhuschihsya vyazkih sred v beskonechnoy krugloy trube» //Vesti akademii nauk BSSR Minsk, 1991. № 3 S. 115-122.
5. Nazmeev Yu.G., Minenkov V.A., Mumladze A.I. «Teplovoy vzryv pri techenii nelineyno-vyazkih sred v krugloy trube». //IFZh Otdel'nyy vypusk Minsk 1988. t.55 №2.
6. Alikina O.N., Tarunin E.L. «Podkriticheskie dvizheniya zhidkosti v sluchae vyazkosti zavisyaschey ot temperatury» //Izv. RAN Mehanika zhidkosti i gaza 2001 №4 s. 55-62
7. Bykov V.I., Cybenova S.B. «Parametricheskiy analiz prosteyshey modeli teorii teplovogo vzryva modeli Zel'dovicha-Semenova» //Fizika goreniya i vzryva, 2001. t. 37 № 5 S. 36-47.
8. Kutateladze S.S. Osnovy teorii teploobmena M., 1979.
9. Snigerev B.A. Techenie uprogovyazkoy zhidkosti so svobodnoy poverhnost'yu/ B.A. Snigerev, F.H. Tazyukov // Vestnik Kazan. tehnolog. un-ta. - 2007. - №1. S.85-92.
10. Minibaeva L.R. Chislennoe modelirovanie gidrodinamicheskoy struktury potoka v apparate s peremeshivayuschimi ustroystvami / L.R. Minibaeva, A.G. Muhametzyanova, A.V. Klinov // Vestnik Kazan. tehnolog. un-ta.-2008.- №6. - Ch.1. S. 191-198.
