Herald of Technological University Herald of Technological University ВЕСТНИК ТЕХНОЛОГИЧЕСКОГО УНИВЕРСИТЕТА 3034-4689 60729 ГИДРОДИНАМИКА, ТЕПЛО- И МАССООБМЕННЫЕ ПРОЦЕССЫ, ЭНЕРГЕТИКА ГИДРОДИНАМИКА, ТЕПЛО- И МАССООБМЕННЫЕ ПРОЦЕССЫ, ЭНЕРГЕТИКА ИЗУЧЕНИЕ ТЕЧЕНИЯ ЖИДКОСТЕЙ ПРИ ВНЕЗАПНОМ СУЖЕНИИ. (ВХОДНЫЕ ТЕЧЕНИЯ) ИЗУЧЕНИЕ ТЕЧЕНИЯ ЖИДКОСТЕЙ ПРИ ВНЕЗАПНОМ СУЖЕНИИ. (ВХОДНЫЕ ТЕЧЕНИЯ) Гарифуллин Ф А Гарифуллин Ф А rami21@yandex.ru Тазюков Ф Х Тазюков Ф Х tazurov@mail.ru Шайхетдинова Р С Шайхетдинова Р С КНИТУ; АН РТ ru КНИТУ; АН РТ ru КНИТУ ru КНИТУ ru КНИТУ ru КНИТУ ru 01 08 2025 01 08 2025 16 10 109 113 19 04 2023 https://vestniktu.ru/en/nauka/article/60729/view

В настоящий момент отмечается значительный интерес к проблеме сходящихся течений. Эти течения получили большое прикладное значение в различных областях науки и технологии. В данном обзоре представлены работы, посвященные исследованиям сходящихся течений ньютоновских жидкостей в каналах со ступенчатой конфигурацией.

In this moment we con see the inerest to the problems of couverging flows. These flows have a great applications in various fields of science and technologies. In this overview is submitted works, devoted to couverging flow investigations of Newtenian viscous liquid through abrupt contraction channels.

 реология число Рейнольдса поток неньютоновской жидкости внезапное сужение канала rheology the Reynolds number the flow of non-Newtonian fluid a sudden narrowing of the canal реология число Рейнольдса поток неньютоновской жидкости внезапное сужение канала rheology the Reynolds number the flow of non-Newtonian fluid a sudden narrowing of the canal

Boger D.V. Viscoelasic flows through contractions. Ann.Rev.Fluid Mech. 19, 157-182 (1987). Boger D.V. Viscoelasic flows through contractions. Ann.Rev.Fluid Mech. 19, 157-182 (1987). Petriс C.J.S., Denn M.M. Instobilities in polymer processing. AIChE Journal 22(2), 209-236 (1976). Petris C.J.S., Denn M.M. Instobilities in polymer processing. AIChE Journal 22(2), 209-236 (1976). Boger D.V., Circular entry flow of inelastic and viscoelastic fluids. In Advances in Transport Processes. (Ed.Mujumdar A.S., Mashelkar R.A.), 2, 43-98 (1982). New-Dehli, Wiley Eastern. Boger D.V., Circular entry flow of inelastic and viscoelastic fluids. In Advances in Transport Processes. (Ed.Mujumdar A.S., Mashelkar R.A.), 2, 43-98 (1982). New-Dehli, Wiley Eastern. Bogue D.C. Entrance effects and prediction of turbulence in non-Newtonian flow. Ind.Eng.Chem. 51 (7), 874-878 (1959). Bogue D.C. Entrance effects and prediction of turbulence in non-Newtonian flow. Ind.Eng.Chem. 51 (7), 874-878 (1959). Boussinesq M.J., Su la maniere dont les vitesses, dans un tube cylindriqye de section circulaire de section circulaire, e vase a son entree, se distribuent depuis cette entree jusquaux endrois ou se trouve etabli un regime uniforme. Camptes Rendus, 113, 9-15 (1891). Boussinesq M.J., Su la maniere dont les vitesses, dans un tube cylindriqye de section circulaire de section circulaire, e vase a son entree, se distribuent depuis cette entree jusquaux endrois ou se trouve etabli un regime uniforme. Camptes Rendus, 113, 9-15 (1891). Carter T.R. Laminar flow from a reserviour up to and through a tube entance region. PhD. Thesis. Univ. Utah. Salt Like City. 319pp (1969). Carter T.R. Laminar flow from a reserviour up to and through a tube entance region. PhD. Thesis. Univ. Utah. Salt Like City. 319pp (1969). Сhristiansen E.A., Kersley S.J., Carter T.R. Laminar tube flow through an abrupt contraction. AIChE Journal. 18 (2), 372-380 (1972). Shristiansen E.A., Kersley S.J., Carter T.R. Laminar tube flow through an abrupt contraction. AIChE Journal. 18 (2), 372-380 (1972). Chrochet M.J., Walters K. Numerical methods in non-Newtonian fluid mechanics. Ann. Rev. Fluid Mech. 15, 241-260 (1983). Chrochet M.J., Walters K. Numerical methods in non-Newtonian fluid mechanics. Ann. Rev. Fluid Mech. 15, 241-260 (1983). Collins M., Schowalter W.R. Behaviour of non-Newtonian fluids in the inlet region of a pipe. AIChE Journal. 9 (1), 804-809 (1963). Collins M., Schowalter W.R. Behaviour of non-Newtonian fluids in the inlet region of a pipe. AIChE Journal. 9 (1), 804-809 (1963). Couette M.M. Etudes sur le frottement des liquides. Ann. De Ghim. Et Phys., 21, 433-510 (1890). Couette M.M. Etudes sur le frottement des liquides. Ann. De Ghim. Et Phys., 21, 433-510 (1890). Duda J.L., Vrentas J.S. Entrance flows of Non-Newtonian fluids. Trans. Soc. Rheol. 17, 89-108 (1973). Duda J.L., Vrentas J.S. Entrance flows of Non-Newtonian fluids. Trans. Soc. Rheol. 17, 89-108 (1973). Fan L.T., Hwang C.L. Bibliography of hydrodynamic entrance region flow. Special Report.67. Kansas State Univ. Bull. 50, 1-17 (1966). Fan L.T., Hwang C.L. Bibliography of hydrodynamic entrance region flow. Special Report.67. Kansas State Univ. Bull. 50, 1-17 (1966). Hagenbach E. Uber die Bestummung der Zahigkeit einer Flussiqkeit durch den Ausflus aus Rohren. Ann.der Phys. Und Chem., 109, 385-426 (1860). Hagenbach E. Uber die Bestummung der Zahigkeit einer Flussiqkeit durch den Ausflus aus Rohren. Ann.der Phys. Und Chem., 109, 385-426 (1860). Hassager O. Working group on numerical techniques. Fifth Intern. Workshop on Numericol Methods in Non-Newtonian Flows. Lake Arrowhead, USA. J.Non-Newtonian Flows. Lake Arrowhead, USA. J.Non-Newtonian Fluid Mech., 29, 2-5 (1988). Hassager O. Working group on numerical techniques. Fifth Intern. Workshop on Numericol Methods in Non-Newtonian Flows. Lake Arrowhead, USA. J.Non-Newtonian Flows. Lake Arrowhead, USA. J.Non-Newtonian Fluid Mech., 29, 2-5 (1988). Kestin J., Sokolov M., Wakeham W. Theory of capillary viscometers. Appl.Sci.Res. 27, 241-264 (1973). Kestin J., Sokolov M., Wakeham W. Theory of capillary viscometers. Appl.Sci.Res. 27, 241-264 (1973). Kim-E,M.E.,Brown R.A.,Armstrong R.C. The roles of inertia and Shearthinning in flow of an inelastic liquid through an axisymmetric sudden contraction. J.Non-Newtonian Fluid Mech. 13, 341-363 (1983). Kim-E,M.E.,Brown R.A.,Armstrong R.C. The roles of inertia and Shearthinning in flow of an inelastic liquid through an axisymmetric sudden contraction. J.Non-Newtonian Fluid Mech. 13, 341-363 (1983). Meissner J. Rheometry of polymer melts. Ann. Rev. Fluid Mech. 17, 45-64 (1985). Meissner J. Rheometry of polymer melts. Ann. Rev. Fluid Mech. 17, 45-64 (1985). Vrentas J.S., Duda J.L., Bargeron K.G. Effect of axial diffusion of vorticity on flow development in circular conductions. AIChE Jornal. 12 (5), 837-844 (1966). Vrentas J.S., Duda J.L., Bargeron K.G. Effect of axial diffusion of vorticity on flow development in circular conductions. AIChE Jornal. 12 (5), 837-844 (1966). Vrentas J.S., Duda J.L. Flow of a Newtonian fluid through a Newtonian fluid through a sudden contraction. Appl. Sci. Res. 28, 241-259 (1973). Vrentas J.S., Duda J.L. Flow of a Newtonian fluid through a Newtonian fluid through a sudden contraction. Appl. Sci. Res. 28, 241-259 (1973). Walters K., Webster M.F. The distinctive CDF challenges of compuaionae rheology, In Proc. of ECCOMAS Computational Fluid Dynamics, 2001 Conference, Swansea, UK, 2001. Walters K., Webster M.F. The distinctive CDF challenges of compuaionae rheology, In Proc. of ECCOMAS Computational Fluid Dynamics, 2001 Conference, Swansea, UK, 2001. Weissberg H.L. End correction for slow viscour flow through long tubes. Phys. Fluids, 5 (9), 1033-1036 (1962). Weissberg H.L. End correction for slow viscour flow through long tubes. Phys. Fluids, 5 (9), 1033-1036 (1962). White S.A., Gotsis A.D., Baird D.G. Revies of te entry flow problem: experimental and numerical. J.Non-Newtonian Fluid Mech., 24, 121-160 (1987). White S.A., Gotsis A.D., Baird D.G. Revies of te entry flow problem: experimental and numerical. J.Non-Newtonian Fluid Mech., 24, 121-160 (1987). White J.L. Critique on flow patterns in polymer fluids at the entrance ofa die and instabilities leading to extrudate distortion. Appl.Polym.Symp. 20, 155-174 (1973). White J.L. Critique on flow patterns in polymer fluids at the entrance ofa die and instabilities leading to extrudate distortion. Appl.Polym.Symp. 20, 155-174 (1973). Снигерев Б.А., Тазюков Ф.Х., Кутузов А.Г., Амер Аль Раваш. Течение упруговязкой жидкости со свободной поверхностью// Вестник Казанского технологического ун-та., 2007, Вып.1., С.86-93. Snigerev B.A., Tazyukov F.H., Kutuzov A.G., Amer Al' Ravash. Techenie uprugovyazkoy zhidkosti so svobodnoy poverhnost'yu// Vestnik Kazanskogo tehnologicheskogo un-ta., 2007, Vyp.1., S.86-93. Ф.Х.Тазюков, Ф.А.Гарифуллин, Шайхетдинова Р.С. Изучение пристенного напряжения при течении неньютоновской жидкости в каналах сложной геометрии // Вестник Казанского технологического ун-та., 2012. т.15.в.7. 2010. в.9.стр.483-490. F.H.Tazyukov, F.A.Garifullin, Shayhetdinova R.S. Izuchenie pristennogo napryazheniya pri techenii nen'yutonovskoy zhidkosti v kanalah slozhnoy geometrii // Vestnik Kazanskogo tehnologicheskogo un-ta., 2012. t.15.v.7. 2010. v.9.str.483-490. Boger D.V. Walters K. Rheological Phenomena in Focus. (Elsevier, Amsterdam, 1992). Boger D.V. Walters K. Rheological Phenomena in Focus. (Elsevier, Amsterdam, 1992). Bird R.B., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids: Fluid Mechanics, vol.1, 2nd ed. (John Wiley - Sons, New York, 1987). Bird R.B., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids: Fluid Mechanics, vol.1, 2nd ed. (John Wiley - Sons, New York, 1987).