Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Mathematical model of two-layer in pipe. / Matveev, Sergey K.; Jaichibekov, Nurbulat Zh; Shalabayeva, Bakyt S.
International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017. ed. / Tynysbek Kal'menov; Makhmud Sadybekov. Vol. 1880 American Institute of Physics, 2017. 060015.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Mathematical model of two-layer in pipe
AU - Matveev, Sergey K.
AU - Jaichibekov, Nurbulat Zh
AU - Shalabayeva, Bakyt S.
PY - 2017/9/11
Y1 - 2017/9/11
N2 - The problem of stationary turbulent flow in an inclined pipe of two immiscible liquids is solving. The formulation and method of solving the problem are close to our previous works, but the flow is turbulent. At the phase surface (y = h, h is the depth of the lower layer of the liquid) axial velocity w, frictional stress and turbulent viscosity νt are assumed to be continuous, the densities ρi and molecular viscosities νi are different for i = 1 (y ≤ h) and for i = 2 (y ≥ h). The equations of momentum in each layer and the equation for turbulent viscosity are numerically solved. At moderate Reynolds numbers, the regimes were observed in the calculations when in a layer with a small volume fraction the flow became laminar with turbulent flow in the second layer.
AB - The problem of stationary turbulent flow in an inclined pipe of two immiscible liquids is solving. The formulation and method of solving the problem are close to our previous works, but the flow is turbulent. At the phase surface (y = h, h is the depth of the lower layer of the liquid) axial velocity w, frictional stress and turbulent viscosity νt are assumed to be continuous, the densities ρi and molecular viscosities νi are different for i = 1 (y ≤ h) and for i = 2 (y ≥ h). The equations of momentum in each layer and the equation for turbulent viscosity are numerically solved. At moderate Reynolds numbers, the regimes were observed in the calculations when in a layer with a small volume fraction the flow became laminar with turbulent flow in the second layer.
UR - http://www.scopus.com/inward/record.url?scp=85029847262&partnerID=8YFLogxK
U2 - 10.1063/1.5000669
DO - 10.1063/1.5000669
M3 - Conference contribution
AN - SCOPUS:85029847262
VL - 1880
BT - International Conference "Functional Analysis In Interdisciplinary Applications", FAIA 2017
A2 - Kal'menov, Tynysbek
A2 - Sadybekov, Makhmud
PB - American Institute of Physics
T2 - International Conference on Functional Analysis In Interdisciplinary Applications, FAIA 2017
Y2 - 2 October 2017 through 5 October 2017
ER -
ID: 36616785