The Cross model of liquid polymer- bitumen binder structure in a pipe with sudden expansion
https://doi.org/10.31675/1607-1859-2022-24-5-151-168
Abstract
The paper investigates the liquid polymer-bitumen binder in a pipe with a sudden expansion. At small values of the expansion parameter, the formation of a high-viscosity liquid zone occurs in the axial region, and the effective viscosity decreases at the periphery and nearwall zones. The destruction process of structural bonds, which intensively proceeds near the flow from the supply pipe, leads to a decrease in the effective viscosity. The formation of a corner area of reverse flows is accompanied by the increase in the effective viscosity.
Supporting agencies: The study was carried out with the financial support of the Russian Foundation for Basic Research within the framework of a scientific project No. 20-31-90078
About the Authors
O. V. Matvienko
Tomsk State University of Architecture and Building; National Research Tomsk State University
Russian Federation
Russian Federation
Oleg V. Matvienko, DSc, Professor
634003
2, Solyanaya Sq.
634050
36, Lenin Ave.
Tomsk
A. E. Litvinova
National Research Tomsk State University
Russian Federation
Russian Federation
Alyona E. Litvinova, Research Assistant
634050
36, Lenin Ave.
Tomsk
N. S. Firsanova
National Research Tomsk State University
Russian Federation
Russian Federation
Nataliya S. Firsanova, Research Assistant
634050
36, Lenin Ave.
Tomsk
References
1. Matvienko O. V., Bazuyev V. P., Venik V. N., Bazarov R. B., Arutyunyan E. R. Matematicheskoye modelirovaniye sdvigoustoychivosti asfal'tobetonnykh pokrytiy avtomobil'nykh dorog [Mathematical modelling of road pavement shear-resistance]. Vestnik of Tomsk State University of Architecture and Building. 2017. No. 4 (63). Pp. 158–170. (rus)
2. 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. Pp. 72–75. (rus)
3. Galdina V. D. Modifitsirovannyye bitumy [Modified bitumen]. Omsk: SibADI, 2009. 228 p. (rus)
4. Matvienko O. V., Unger F. G., Bazuev V. P. Matematicheskiye modeli proizvodstvennykh protsessov dlya prigotovleniya bitumnykh dispersnykh sistem [Mathematical models of manufacturing processes for preparation of dispersed bitumen systems]. Tomsk: TSUAB, 2015. (rus)
5. Polacco G., Filippi S., Merusi F., Stastna G. A review of the fundamentals of polymer-modified asphalts: Asphalt/polymer interactions and principles of compatibility. Advances in Colloid and Interface Science. 2015. V. 224. Pp. 72–112.
6. Rusakov M. N., Ismailov A. M. Stirol-butadiyen-stirol'nyye polimery dlya avtodorozhnogo stroitel'stva v Rossiyskoy Federatsii. [Styrene-butadiene-styrene polymers for road construction in the Russian Federation]. Stroitel'stvo unikal'nykh zdanii i sooruzhenii. 2020. No. 87. URL: https://www.proquest.com/openview/bf60377061fc08185e247fdd871bfc95/1?pq-origsite=gscholar&cbl=2026733 (rus)
7. Sybilski D. Non-Newtonian viscosity of polymer-modified bitumen. Materials and Structures. 1993. V. 26. Pp. 15–23. DOI:10.1007/BF02472233
8. Gabriela C. C., Glicerio T., Joao V. S. M., Matheus F. M., Liseane P. T., Lidia C. L. Evaluation of rheological behavior, resistance to permanent deformation and resistance to fatigue of asphalt mixtures modified with nano-clay and SBS polymer. Applied Sciences. 2019. No. 9. Pp. 1–16. DOI: 10.3390/app9132697
9. 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)
10. Matvienko O. V., Agafontseva M. V., Bazuev V. P. Issledovaniye dinamiki puzyr'ka v zakruchennom potoke nelineyno-vyazkoy zhidkosti. [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)
11. Matvienko O. V., Bazuev V. P., Venik V. N., Smirnova N. G. Eksperimental'noye issledovaniye protsessa kavitatsii v tekhnologicheskikh ustroystvakh. [Experimental study of cavitation process using technological devices]. Vestnik of Tomsk State University of Architecture and Building. 2015. No. 6. P. 165–176. (rus)
12. Matvienko O. V., Efa A. K., Bazuev V. P., Evtyushkin E. V. Chislennoye modelirovaniye raspada turbulentnoy strui v sputnom zakruchennom potoke. [Numerical modeling of turbulent jet decay in wake swirling flow]. Izvestiya vysshikh uchebnykh zavedeniy. Fizika. 2006. V. 49. No. 6. Pp. 96–107. (rus)
13. Matvienko O. V., Bazuev V. P., Turkasova N. G., Baygulova A. I. Issledovaniye protsessa modifikatsii bituma v inzhektornom smesitele. [Bitumen modification in injector mixer]. Vestnik of Tomsk State University of Architecture and Building. 2013. No. 3. Pp. 202–213. (rus)
14. Bazuev V. P., Matvienko O. V., Voronenko V. L. Modelirovaniye protsessa modifitsirovaniya bituma v kavitatsionno-smesitel'nom dispergatore. [Modeling of bitumen modification in cavitation mixing disperser]. Vestnik of Tomsk State University of Architecture and Building. 2010. No. 4. Pp. 121–128. (rus)
15. 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 [Mixing coaxial swirl flows for preparation of dispersed bitumen systems]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 3 (44). Pp. 123–134. (rus)
16. Matvienko O. V., Bazuev V. P., Venik V. N., Smirnova N. G. Chislennoye issledovaniye protsessa obrazovaniya kavitatsionnykh puzyr'kov v smesitel'nom ustroystve [Numerical calculation of cavitation bubble formation in a mixing device]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 4 (45). Pp. 231–245. (rus)
17. Garcia E. J., Steffe J. F Comparison of friction factor equations for non-Newtonian fluids in pipe flow. Journal of Food Process Engineering. 1986. V. 9. No. 2. Pp. 93–120.
18. Benedict R. P., Carlucci N. A., Swetz S. D. Flow losses in abrupt enlargements and contractions. Journal of Engineering for Power. 1966. V. 88. No. 1. Pp. 73–81.
19. Abdelall F. F. Pressure drop caused by abrupt flow area changes in small channels. Experimental Thermal and Fluid Science. 2005. V. 29. No. 4. Pp. 425–434.
20. Ryltsev I. A., Ryltseva K. E., Shrager G. R Kinematika techeniya stepennoy zhidkosti v trube peremennogo secheniya [Kinematics of power-law fluid flow in a pipe with varying cross section]. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. 2020. V. 63. Pp. 125–138. (rus)
21. Matvienko O. V., Bazuev V. P., Sabylina N. R., Aseeva A. E., Surtaeva A. A. Issledovanie ustanovivshegosya techeniya vyazkoplasticheskogo bitumnogo vyazhushchego, opisyvaemogo model'yu Shvedova–Bingama, v tsilindricheskoi trube [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. V. 21. No. 3. Pp. 158–177. (rus)
22. Matvienko O. V., Bazuev V. P., Cherkasov I. S., Litvinova A. E. Techenie bitumnogo vyazhushchego, opisyvaemogo model''yu ostval''da – de veilya, v tsilindricheskoi trube [Liquid asphalt binders in cylindrical tube in terms of the Ostwald-de Waele model]. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2020. V. 22. No. 1. Pp 129–144. (rus)
23. Matvienko O. V., Bazuev V. P., Cherkasov I. S., Aseeva A. E. Issledovanie gidravlicheskikh kharakteristik potoka vodno-peschanoi suspenzii v trube [Hydraulic properties of sand slurry flow in a pipe]. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2020. V. 22. No. 2. Pp. 171–192. (rus)
24. Matvienko O. V. Issledovaniye ustanovivshegosya techeniya psevdoplasticheskoy zhidkosti, opisyvayemoy model'yu Sisko, v tsilindricheskoy trube [Sisco model of steady state flow of pseudoplastic fluid in a cylindrical tube]. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika. 2018. No. 55. Pp. 99–112. (rus)
25. Matvienko O. V., Litvinova A. E. Issledovanie ustanovivshegosya techeniya vysokoparafinistogo bitumnogo vyazhushchego, opisyvaemogo model''yu balkli – gershelya, v tsilindricheskoi trube [Steady flow of high-paraffin bituminous binder in cylindrical tube in terms of Herschel-Bulkley fluid]. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2021. V. 23. No. 4. Pp. 79–99. (rus)
26. Matvienko O. V., Litvinova A. E., Firsanov N. S. Issledovanie raskhodnykh kharakteristik ustanovivshegosya techeniya vysokoparafinistogo bitumnogo vyazhushchego v tsilindricheskoi trube [Stabilized flow rate of high-paraffin asphalt cement in cylindrical pipe]. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta – Journal of Construction and Architecture. 2021. V. 23. No. 5. Pp. 71−85. (rus)
27. Malkin A. Y., Isaev A. I. Reologiya: kontseptsii, metody, prilozheniya [Rheology: Concepts, methods, applications]. Saint-Petersburg: Professia, 2007. 560 p. (rus)
28. Wilkinson W. L. Nen'yutonovskie zhidkosti [Non-Newtonian fluids]. Moscow: Mir, 1964. (transl. from Engl.)
29. Kutepov A. M., Polyanin L. D., Zapryanov Z. D. Vyaz'min A. V., Kazenin D. A. Khimicheskaya gidrodinamnka [Chemical hydro-dynamics]. Moscow: Bureau Quantum, 1996. (rus)
30. Klimov D. M., Petrov A. G., Georgievsky D. V. Vyazkoplasticheskiye techeniya: dinamicheskiy khaos, ustoychivost' i peremeshivaniye [Viscoplastic flows: Dynamic chaos, stability and mixing]. Moscow: Nauka, 2005. (rus)
31. Loitsyansky L. G. Mekhanika zhidkosti i gaza [Mechanics of liquid and gas]. Moscow: Nauka, 1974. (rus)
32. Cross M. M. Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems. Journal of Colloid and Interface Science. 1965. V. 20. Pp. 417–437.
33. Matvienko O. V., Bazuev V. P., Dulzon N. K., Smirnova N. G., Agafonova M. V. Chislennoye issledovaniye struktury techeniya i teploobmena pri zakruchennom techenii bitumno-dispersnykh sistem v tsilindricheskikh kanalakh. [Numerical calculation of flow structure and heat transfer for swirling flow of bitumen dispersed systems in cylindrical channels]. Vestnik of Tomsk State University of Architecture and Building. 2014. No. 2 (43). P. 80–93. (rus)
34. Matvienko O. V. Chislennoye issledovaniye techeniya nen'yutonovskikh zhidkostey v tsilindricheskom kanale. [Numerical investigation of the flow of non-Newtonian fluids in a cylindrical channel]. Izvestiya vysshikh uchebnykh zavedeniy. Fizika. 2014. V. 57. No. 8-2. Pp. 183–189. (rus)
35. Matvienko O. V., Bazuev V. P., Venik V. N., Smirnova N. G. Numerical investigation of Herschel-Bulkley fluids mixing. IOP Conference Series: Materials Science and Engineering. Advanced Materials in Construction and Engineering. 2015. 012034.
36. 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 number]. Inzhenerno-fizicheskii zhurnal. 2014. V. 87. No. 4. Pp. 908–918. (rus)
37. Matvienko O. V., Aseeva A. E. Matematicheskoye modelirovaniye zakruchennogo potoka termovyazkoy psevdoplasticheskoy zhidkosti Sisko v tsilindricheskom kanale [Mathematical simulation of swirling flow of thermal viscous, pseudoplastic Sisco fluid in cylindrical channel]. Inzhenerno-fizicheskii zhurnal. 2020. V. 93. No. 4. Pp. 827–838. (rus)
38. Matvienko O. V., Evtyushkin E. V. Matematicheskoye issledovaniye separatsii dispersnoy fazy v gidrotsiklone pri ochistke vyazkoplasticheskikh burovykh rastvorov [Mathematical investigation of dispersed phase separation in hydrocyclone during viscoplastic mud cleaning]. Inzhenerno-fizicheskii zhurnal. 2011. V. 84. No. 2. Pp. 243–252. (rus)
39. 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]. Inzhenerno-fizicheskii zhurnal. 2014. V. 87. No. 5. Pp. 1129–1137. (rus)
40. 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 pseudoplastic Bulkley–Herschel fluid in cylindrical channel]. Inzhenerno-fizicheskii zhurnal. 2019. V. 92. No. 1. Pp. 215–226. (rus)
41. Matvienko O. V., Bazuyev V. P., Aseeva A. E. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka dilatantnoy zhidkosti Balkli–Gershelya v tsilindricheskom kanale [Mathematical simulation of swirling flow of dilatant Bulkley-Herschel fluid in cylindrical channel]. Inzhenerno-fizicheskiy zhurnal. 2019. V. 92. No. 6. Pp. 2641–2651. (rus)
42. Matvienko O. V., Bazuev V. P., Yuzhanova N. K. Yuzhanova N. K. Matematicheskoye modelirovaniye techeniya zakruchennogo potoka psevdoplasticheskoy zhidkosti v tsilindricheskom kanale. [Mathematical modeling of swirling flow of pseudoplastic fluid in cylindrical channel]. Inzhenerno-fizicheskiy zhurnal. 2011. V. 84. No. 3. Pp. 544–547. (rus)
43. 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-fizicheskiy zhurnal. 2014. V. 87. No. 1. Pp. 192–199. (rus)
44. Patankar S. Chislennyye metody resheniya zadach teplomassoobmena i dinamiki zhidosti [Numerical simulation of heat and mass transfer and fluid dynamics]. Moscow: Energoatomizdat, 1983. (rus)
45. Van Doormal J. P., Raithby G. D. Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numerical Heat Transfer. 1984. V. 7. Pp. 147–163.
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For citations:
Matvienko O.V., Litvinova A.E., Firsanova N.S. The Cross model of liquid polymer- bitumen binder structure in a pipe with sudden expansion. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2022;24(5):151-168. (In Russ.) https://doi.org/10.31675/1607-1859-2022-24-5-151-168
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