Research output: Contribution to journal › Article › peer-review
An integral model for turbulent wave liquid film. / Geshev, P. I.
In: Thermophysics and Aeromechanics, Vol. 30, No. 2, 03.2023, p. 293-304.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - An integral model for turbulent wave liquid film
AU - Geshev, P. I.
N1 - The study was performed under the state contract with IT SB RAS (No. 121031100246-5). Публикация для корректировки.
PY - 2023/3
Y1 - 2023/3
N2 - An integral evolutionary model is constructed for calculating the thickness and flow rate of a fluid in a turbulent wave film, moving under the influence of gravity and tangential stress of a gas stream. Derivation of the model equations requires conditionally averaged Navier–Stokes equations with turbulent viscosity, which appears at averaging over the high-frequency (turbulent) component of the velocity field. The description of turbulent viscosity has been earlier proposed by the author in the form of a formula with a cubic attenuation law in a viscous sublayer, with linear behavior away from the wall and taking into account turbulence attenuation near the free surface of the film. For linear waves of small amplitude, a dispersion equation is derived; its results at small Reynolds numbers are consistent with known calculations by the laminar integral model.
AB - An integral evolutionary model is constructed for calculating the thickness and flow rate of a fluid in a turbulent wave film, moving under the influence of gravity and tangential stress of a gas stream. Derivation of the model equations requires conditionally averaged Navier–Stokes equations with turbulent viscosity, which appears at averaging over the high-frequency (turbulent) component of the velocity field. The description of turbulent viscosity has been earlier proposed by the author in the form of a formula with a cubic attenuation law in a viscous sublayer, with linear behavior away from the wall and taking into account turbulence attenuation near the free surface of the film. For linear waves of small amplitude, a dispersion equation is derived; its results at small Reynolds numbers are consistent with known calculations by the laminar integral model.
KW - damping
KW - dispersion equation
KW - falling liquid film
KW - gas flow stress
KW - turbulence
KW - waves
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168160778&origin=inward&txGid=2716a13330fc70f8e43516a076035b44
UR - https://www.mendeley.com/catalogue/a0e7c794-6081-3120-bb2f-bd195fbcbc45/
U2 - 10.1134/S0869864323020105
DO - 10.1134/S0869864323020105
M3 - Article
VL - 30
SP - 293
EP - 304
JO - Thermophysics and Aeromechanics
JF - Thermophysics and Aeromechanics
SN - 0869-8643
IS - 2
ER -
ID: 59654859