Abstract
A mathematical description of the motion of a cavity on the liquid surface under an oblique action of a gas jet is obtained using the well-known expressions for the movement of a gas bubble in a liquid. The boundary of the viscous drag force domination over the form drag force is determined. The impingement of the gas jet on the liquid surface is considered as a dynamic object of the automatic control theory. It is found that the dynamic properties of the two-phase system “gas jet–liquid” are described by the integrator equations. Using a specially designed setup, the transient response of the “gas jet–liquid” system were experimentally obtained for the aerodynamic action at angles of 20° and 50° to the surfaces of liquids with the viscosities of 0.71 and 26.1 Pa s (Reynolds number Re < 2). The research results are necessary for the analysis of the non-contact aerodynamic method of liquid viscosity measurements.
REFERENCES
N. Dyussekenov, S. S. Park, H. Y. Sohn. Miner. Process. Extr. M., 120 (1), 21 (2011). https://doi.org/10.1179/037195510X12791826058136
J. Maruyama, K. Ito, M. Ando, J. Okada, K. Ito. ISIJ Int., 60 (6), 1375 (2020). https://doi.org/10.2355/isijinternational.ISIJINT-2019-653
Y. Chen, A. K. Silaen, C. Q. Zhou. Processes, 8 (6), 700 (2020). https://doi.org/10.3390/pr8060700
G. Q. Liu, G. X. Zhang, K. Liu. Metalurgija, 59 (3), 299 (2020).
S. Sabah, G. Brooks. Ironmaking and Steelmaking, 43 (6), 473 (2016). https://doi.org/10.1080/03019233.2015.1113755
D. Miñoz-Esparza, J.-M. Buchlin, K. Myrillas, R. Berger. Appl. Math. Model., 36 (6), 2687 (2012). https://doi.org/10.1016/j.apm.2011.09.052
C. J. Ojiako, R. Cimpeanu, H. C. H. Bandulasena, R. Smith, D. Tseluiko. J. Fluid Mech., 905, A18 (2020). https://doi.org/10.1017/jfm.2020.751
B. B. Baldanov, A. P. Semenov, Ts. V. Ranzhurov, E. O. Nikolaev, S. V. Gomboeva. Tech. Phys., 60 (11), 1729 (2015). https://doi.org/10.1134/S1063784215110043
A. Stancampiano, E. Simoncelli, M. Boselli, V. Colombo, M. Gherardi. Plasma Sourc. Sci. Tech., 27 (12), 125002 (2018). https://doi.org/10.1088/1361-6595/aae9d0
S. Park, W. Choe, H. Lee, J. Y. Park, J. Kim, S. Y. Moon, U. Cvelbar. Nature, 592, 49 (2021). https://doi.org/10.1038/s41586-021-03359-9
T. R. Brubaker, K. Ishikawa, H. Kondo, T. Tsutsumi, H. Hashizume, H. Tanaka, S. D. Knecht, S. G. Bilén, M. Hori. J. Phys. D: Appl. Phys., 52 (7), 075203 (2018). https://doi.org/10.1088/1361-6463/aaf460
W. Fu, X. Zhang. Optik, 207, 164451 (2020). https://doi.org/10.1016/j.ijleo.2020.164451
D. M. Mordasov, M. M. Mordasov. Tech. Phys., 62 (3), 490 (2017). https://doi.org/10.1134/S1063784217030148
A. H. Pfund, E. W. Greenfield. Ind. Eng. Chem., 8(2), 81 (1936). https://doi.org/10.1021/ac50100a001
M. M. Mordasov, A. P. Savenkov, M. E. Safonova, V. A. Sychev. Meas. Tech., 61 (6), 613 (2018). https://doi.org/10.1007/s11018-018-1473-7
B. V. Deryagin, V. V. Karasev, Russ. Chem. Rev., 57(7), 634 (1988). https://doi.org/10.1070/RC1988v057n07ABEH003379
A. P. Savenkov, M. M. Mordasov, V. A. Sychev. Meas. Tech., 63 (9), 722 (2020). https://doi.org/10.1007/s11018-021-01845-0
A. He, A. Belmonte. Phys. Fluid., 22 (4), 042103 (2010). https://doi.org/10.1063/1.3327209
É. Ghabache, T. Séon, A. Antkowiak. J. Fluid. Mech., 761, 206 (2014). https://doi.org/10.1017/jfm.2014.629
A. Balabel. Emirates J. Engineer. Res., 12 (3), 35 (2007).
M. M. Mordasov, A. P. Savenkov. Tech. Phys. Lett., 42 (9), 940 (2016). https://doi.org/10.1134/S1063785016090224
M. Adib, M. A. Ehteram, H. B. Tabrizi. Appl. Math. Model., 62, 510 (2018). https://doi.org/10.1016/j.apm.2018.05.031
R. D. Collins, H. Lubanska. Brit. J. Appl. Phys., 5 (1), 22 (1954). https://doi.org/10.1088/0508-3443/5/1/306
J. Solórzano-López, R. Zenit, M. A. Ramírez-Argáez. Appl. Math. Model., 35 (10), 4991 (2011). https://doi.org/10.1016/j.apm.2011.04.012
O. McRae, A. Gaillard, J. C. Bird. Phys. Rev. E, 96 (1), 013112 (2017). https://doi.org/10.1103/PhysRevE.96.013112
X.-T. Wu, R. Zhu, G.-S. Wei, K. Dong. J. Min. Metall. B, 56 (3), 307 (2020). https://doi.org/10.2298/JMMB190225019W
R. B. Kalifa, S. B. Hamza, N. M. Saïd, H. Bournot. Int. J. Mech. Sci., 165, 105220 (2020). https://doi.org/10.1016/j.ijmecsci.2019.105220
X. Zhou, Q. Yue, Z. Di, D. Sheng, M. Ersson. JOM, 73 (10), 2953 (2021). https://doi.org/10.1007/s11837-021-04810-y
M. M. Mordasov, A. P. Savenkov, K. E. Chechetov. Tech. Phys., 61 (5), 659 (2016). https://doi.org/10.1134/S1063784216050170
V. N. Petrov, A. S. Shabalin, V. F. Sopin, S. B. Petrov, S. L. Malyshev. Vestn. tekhnolog. un-ta, 20 (2), 85 (2017) (in Russian).
M. M. Mordasov, A. P. Savenkov. Meas. Tech., 58 (7), 796 (2015). https://doi.org/10.1007/s11018-015-0796-x
V. A. Makarov, F. A. Korolev, R. E. Tyutyaev. IOP Conf. Ser.: Mater. Sci. Eng., 1047, 012014 (2021). https://doi.org/10.1088/1757-899X/1047/1/012014
P. Snabre, F. Magnifotcham. Eur. Phys. J. B Condens. Matter., 4 (3), 369 (1998). https://doi.org/10.1007/s100510050392
G. I. Kelbaliyev. Theor. Found. Chem. Eng., 45 (3), 248 (2011). https://doi.org/10.1134/S0040579511020084
W. R. Quinn. Eur. J. Mech. B/Fluids, 25 (3), 279 (2006). https://doi.org/10.1016/j.euromechflu.2005.10.002
J. Mi, P. Kalt, G. J. Nathan, C. Y. Wong. Exp. Fluid., 42 (4), 625 (2007). https://doi.org/10.1007/s00348-007-0271-9
M. M. Mordasov, A. P. Savenkov, M. E. Safonova, V. A. Sychev. Optoelectron., Instrum. Data Process., 54 (1), 69 (2018). https://doi.org/10.3103/S8756699018010119
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Savenkov, A.P., Sychev, V.A. Analysis of the Response of a Liquid Surface to the Pulse Action of an Inclined Gas Jet at Low Reynolds Number. Tech. Phys. 68 (Suppl 2), S200–S208 (2023). https://doi.org/10.1134/S1063784223900541
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784223900541