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SHVEDOV-BINGHAM MODEL OF STEADY FLOW OF VISCO-PLASTIC BITUMEN BINDER IN CYLINDRICAL TUBE

https://doi.org/10.31675/1607-1859-2019-21-3-158-177

Abstract

This paper studies the bitumen binder flow in terms of the Shvedov-Bingham model in a cylindrical tube. The dependence of the fluid flow rate on pressure drop is determined as well as the dependences between the radial velocity distribution and effective flow viscosity. Near the wall, the effective viscosity is low. However, in the vicinity of the rigid zone, a significant increase in the effective viscosity is observed. With increasing strain rates the effective viscosity decreases, which is explained by the destruction of the medium microstructure. With the pressure drop, the size of the hard zone decreases. With the increasing yield stress the fluid becomes less mobile, the rigid zone in the centre of the pipe increases in size. In this case, the velocity values decrease over the entire pipe section. Variation in the plastic viscosity does not affect the position of the rigid zone. It is shown that when the Bingam number Bn < 0.1, the non-Newtonian properties of the flow can be ignored. In this case, the Newtonian flow with viscosity mpl should be considered with an accuracy sufficient for engineering calculations.

About the Authors

O. V. Matvienko
Tomsk State University of Architecture and Building; National Research Tomsk State University
Russian Federation

Oleg V. Matvienko, DSc, Professor, Tomsk State University of Architecture and Building, 2, Solyanaya Sq., 634003, Tomsk; National Research Tomsk State University, 36, Lenin Ave., 634050, Tomsk



V. P. Bazuev
Tomsk State University of Architecture and Building

Viktor P. Bazuev, PhD, Senior Scientist

2, Solyanaya Sq., 634003, Tomsk



N. R. Sabylina
National Research Tomsk State University

Natalya R. Sabylina, Undergraduate Student

36, Lenin Ave., 634050, Tomsk



A. E. Aseeva
National Research Tomsk State University

Alyona E. Aseeva, Undergraduate Student

36, Lenin Ave., 634050, Tomsk



A. A. Surtaeva
Tomsk State University of Architecture and Building

Anastasia A. Surtaeva, Undergraduate Student

2, Solyanaya Sq., 634003, Tomsk



References

1. Babak O.G., Starkov G.B. Primeneniye modifitsirovannykh vyazhushchikh v dorozhnom stroitel'stve [Application of modified binders in road construction]. Dorozhnaya tekhnika i tekhnologii. 2001. No. 5. P. 72–75. (rus)

2. Matvienko O.V., Bazuev V.P., Smirnova N.G., Pushkareva G.V., Dulzon N.K. Issledovaniye smesheniya koaksial'nykh zakruchennykh potokov dlya prigotovleniya bitumnykh dispersnykh sistem [A study of mixing coaxial swirling flows for preparation of asphalt dispersion systems]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 3 (44). Pp. 123–134. (rus)

3. Gun R.Р. Neftyanyye bitumy. [Oil bitumens]. Moscow: Khimia, 1973. 432 p. (rus)

4. Grudnikov I.B. Proizvodstvo neftyanykh bitumov [Production of oil bitumen]. Moscow: Khimia, 1983. 192 p. (rus)

5. Malkin A.Y., Isaev A.I. Reologiya: kontseptsii, metody, prilozheniya [Rheology: concepts, methods, applications]. St.-Petersburg: Professiya, 2007. 560 p. (rus)

6. Matvienko O.V., Unger F.G., Bazuev V.P. Matematicheskiye modeli proizvodstvennykh protsessov dlya prigotovleniya bitumnykh dispersnykh sistem [Mathematical models of manufacturing processes for the preparation of dispersed bitumen systems]. Tomsk: TSUAB, 2015. (rus)

7. Kutepov A.M., Polyanin L.D., Zapryanov Z.D. Vyaz'min A.V., Kazenin D.A. Khimicheskaya gidrodinamnka: spravochnoye posobiye [Chemical hydro-dynamics: handbook]. Moscow: Byuro Kvantum, 1996. (rus)

8. Klimov D.M., Petrov A.G., Georgievsky D.V. Vyazkoplasticheskiye techeniya: dinamicheskiy khaos, ustoychivost' i peremeshivaniye [Visco-plastic flows: dynamic chaos, stability and mixing]. Moscow: Nauka, 2005. (rus)

9. Wilkinson W.L. Non-Newtonian fluids. New York – London: Pergamon Press, 1960.

10. Alekseeva K.G., Borzenko E.I. Struktura techeniya zhidkosti Shvedova – Bingama v kanale so skachkom secheniya [Structure of the Shvedov-Bingham flow in the channel with section jump]. Izvestiya vysshikh uchebnykh zavedeniy. Fizika. 2012. No. 7-2. Pp. 15–19. (rus)

11. Turbin M.V. Issledovaniye nachal'no – krayevoy zadachi dlya modeli dvizheniya zhidkosti Gershelya – Balkli [Initial boundary value problem for the model of Herschel-Bulkley fluid]. Vestnik Voronezhskogo gos. un-ta. Ser. Fizika. Matematika. 2013. No. 2. P. 246–257. (rus)

12. Borzenko E.I., Ryltsov I.A., Shrager G.R. Kinematika techeniya zhidkosti Balkli – Gershelya so svobodnoy poverkhnost'yu pri zapolnenii kanala [Kinematics of Herschel-Bulkley fluid with free surface in channel filling]. Izvestiya Rossiyskoy akademii nauk. Mekhanika zhidkosti i gaza. 2017. No. 5. Pp. 53–64. (rus)

13. Borzenko E.I., Shrager G.R., Yakutenok V.A. Techeniye nen'yutonovskoy zhidkosti so svobodnoy poverkhnost'yu pri zapolnenii krugloy truby [Flow of non-Newtonian fluid with free surface in round tube filling]. Prikladnaya mekhanika i tekhnicheskaya fizika. 2012. V. 53. No. 2. Pp. 53–60. (rus)

14. Borzenko E.I., Shrager G.R., Yakutenok V.A. Modelirovaniye protsessa zapolneniya ploskikh kanalov vyazkoplastichnoy zhidkost'yu [Modeling of filling flat channels with visco-plastic fluid]. Theoretical Foundations of Chemical Technology. 2011. V. 45. No. 2. Pp. 187–193. (rus)

15. Zubovich S.O. Analiz matematicheskoy modeli simmetrichnogo techeniya tyazheloy vyazkoplasticheskoy sredy Gershelya – Balkli v zazore vrashchayushchikhsya valkov [Mathematical model of symmetric flow of heavy visco-plastic Herschel-Bulkley fluid in the gap of rotating rolls]. Izvestia. Volgograd. State Tech. Univ. 2010. V. 1. No. 3. Pp. 130–133. (rus)

16. Muravleva V.V. Techeniya vyazkoplasticheskoy sredy Bingama – Il'yushina v simmetrichnom kanale peremennoy shiriny [Flows of a Bingham–Ilyushin viscoplastic fluid in symmetric channel of variable width]. Vestnik Moskovskogo universiteta. Ser. 1. Matem., mekh. 2012. No. 3. Pp. 65–67. (rus)

17. Vishnyakov V.I., Pokrovsky L.D. K teorii nestatsionarnykh techeniy vyazkoplasticheskikh sred. Inzhenernyy zhurnal: nauka i innovatsii [Theory of unsteady flows of visco-plastic media]. Inzhenernyi zhurnal: nauka i innovatsii. 2013. No. 8. Available: http://engjournal.ru/catalog/fundamentals/physics/876.html (rus)

18. Matvienko O.V., Bazuev V.P., Yuzhanova N.K. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka psevdoplasticheskoy zhidkosti v tsilindricheskom kanale [Mathematical modeling of swirling flow of pseudoplastic fluid in cylindrical channel]. Inzhenernofizicheskii zhurnal. 2011. V. 84. No. 3. Pp. 544–547. (rus)

19. Matvienko O.V., Bazuev V.P., Yuzhanova N.K. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka dilatantnoy zhidkosti v tsilindricheskom kanale [Mathematical modeling of swirling flow of dilatant fluid in cylindrical channel]. Inzhenerno-fizicheskii zhurnal. 2014. V. 87. No. 1. Pp. 192–199. (rus)

20. Matvienko O.V., Bazuev V.P., Dulzon N.K. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka vyazkoplasticheskoy zhidkosti v tsilindricheskom kanale [Mathematical modeling of swirling flow of pseudoplastic fluid in cylindrical channel]. Inzhenernofizicheskii zhurnal. 2014. V. 87. No. 5. Pp. 1129–1137. (rus)

21. Matvienko O.V., Bazuev V.P., Aseeva A.E. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka psevdoplasticheskoy zhidkosti Balkli – Gershelya v tsilindricheskom kanale [Mathematical modeling of swirling flow of pseudo-plastic Bulkley – Herschel fluid in cylindrical channel]. Inzhenerno-fizicheskii zhurnal. 2019. V. 92. No. 1. Pp. 215–226. (rus)

22. Bazuev V.P., Matvienko O.V., Voronenko V.L. Modelirovaniye protsessa modifitsirovaniya bituma v kavitatsionno-smesitel'nom dispergatore [Modeling of the process of modifying bitumen in a cavitation mixing disperser]. Vestnik of Tomsk State University of Architecture and Building. 2010. No. 4. Pp. 121–128. (rus)

23. Matvienko O.V., Bazuev V.P., Turkasova N.G., Baygulova A.I. Issledovaniye protsessa modifikatsii bituma v inzhektornom smesitele [Investigation of bitumen modification in injector mixer]. Vestnik of Tomsk State University of Architecture and Building. 2013. No. 3. Pp. 202–213. (rus)

24. Matvienko O.V., Agafontseva M.V., Bazuev V.P. Issledovaniye dinamiki puzyr'ka v zakruchennom potoke nelineyno-vyazkoy zhidkosti [Investigation of bubble dynamics in swirling flow of nonlinear viscous fluid]. Vestnik of Tomsk State University of Architecture and Building. 2012. No. 4. Pp. 144–156. (rus)

25. Matvienko O.V. Issledovaniye teploobmena i formirovaniya turbulentnosti vo vnutrennem zakruchennom potoke zhidkosti pri nizkikh chislakh Reynol'dsa [Heat transfer and formation of turbulence in internal swirling fluid flow at low Reynolds numbers]. Inzhenerno-fizicheskii zhurnal. 2014. V. 87. No. 4. Pp. 908–918. (rus)

26. Matvienko O.V., Bazuev V.P., Yuzhanova N.K. Chislennoye issledovaniye perekhoda k turbulentnomu rezhimu techeniya vnutrennikh zakruchennykh potokov bitumnykh vyazhushchikh [Numerical investigation of transition to the turbulent mode of internal swirl flows of bitumen binders]. Vestnik of Tomsk State University of Architecture and Building. 2013. No. 2. Pp. 132–143. (rus)

27. Matvienko O.V., Bazuev V.P., Dulzon N.K., Smirnova N.G., Agafonova M.V. Chislennoye issledovaniye struktury techeniya i teploobmena pri zakruchennom techenii bitumnodispersnykh sistem v tsilindricheskikh kanalakh [Numerical investigation of flow structure and heat exchange of swirling flows of disperse bitumen systems in cylindrical channels]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 2 (43). Pp. 80–93. (rus)

28. Matvienko O.V., Bazuev V.P., Venik V.N., Smirnova N.G. Chislennoye issledovaniye protsessa obrazovaniya kavitatsionnykh puzyr'kov v smesitel'nom ustroystve [Computational investigation of cavitation in cavitation disperser]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 4 (45). Pp. 231–245. (rus)

29. Matvienko O.V., Bazuev V.P., Venik V.N., Smirnova N.G. Eksperimental'noye issledovaniye protsessa kavitatsii v tekhnologicheskikh ustroystvakh [Experimental study of cavitation in different apparatuses]. Vestnik of Tomsk State University of Architecture and Building. 2015. No. 6. P. 165–176. (rus)

30. Matvienko O.V., Efa A.K., Bazuev V.P., Evtyushkin E.V. Chislennoye modelirovaniye raspada turbulentnoy strui v sputnom zakruchennom potoke [Numerical modeling of decay of turbulent jet in wake swirling flow]. Izvestiya vysshikh uchebnykh zavedeniy. Fizika. 2006. V. 49. No. 6. Pp. 96–107. (rus)

31. Loitsyansky L.G. Mekhanika zhidkosti i gaza [Mechanics of liquid and gas]. Moscow: Nauka, 1974. (rus)

32. Matvienko O.V. Chislennoye issledovaniye techeniya nen'yutonovskikh zhidkostey v tsilindricheskom kanale [Numerical investigation of flow of non-Newtonian fluids in cylindrical channel]. Izvestiya vysshikh uchebnykh zavedeniy. Fizika. 2014. V. 57. No. 8-2. Pp. 183–189. (rus)

33. Matvienko O.V. Issledovaniye ustanovivshegosya techeniya psevdoplasticheskoy zhidkosti, opisyvayemoy model'yu Sisko, v tsilindricheskoy trube [Steady state flow of pseudo-plastic fluid described by the Sisco model in cylindrical tube]. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. 2018. No. 55. Pp. 99–112. (rus)

34. Matvienko O.V., Evtyushkin E.V. Matematicheskoye issledovaniye separatsii dispersnoy fazy v gidrotsiklone pri ochistke vyazkoplasticheskikh burovykh rastvorov [Mathematical investigation of disperse phase separation in hydrocyclone in purifying visco-plastic mud]. Inzhenerno-fizicheskii zhurnal. 2011. V. 84. No. 2. Pp. 243–252. (rus)

35. Matvienko O.V., Bazuev V.P., Venik V.N., Smirnova N.G. Numerical investigation of HerschelBulkley fluids mixing. In: IOP Conference Series: Materials and Engineering. Ser. „International Scientific Conference of Young Researchers: Advanced Materials in Construction and Engineering‟. 2015. P. 012034.


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Matvienko O.V., Bazuev V.P., Sabylina N.R., Aseeva A.E., Surtaeva A.A. SHVEDOV-BINGHAM MODEL OF STEADY FLOW OF VISCO-PLASTIC BITUMEN BINDER IN CYLINDRICAL TUBE. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2019;(3):158-177. (In Russ.) https://doi.org/10.31675/1607-1859-2019-21-3-158-177

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