TY - JOUR

T1 - SYMMETRY OF THE COUPLING MATRIX BETWEEN FORCES AND FLOWS IN STRATIFIED TURBULENT FLOW IN A CHANNEL WITH AN ARBITRARILY SHAPED CROSS SECTION

AU - Geshev, Pavel I.

N1 - Geshev, P. I. Symmetry of the coupling matrix between forces and flows in stratified turbulent flow in a channel with an Arbitrarily shaped cross section / P. I. Geshev // Interfacial Phenomena and Heat Transfer. – 2022. – Vol. 10, No. 4. – P. 45-56. – DOI 10.1615/interfacphenomheattransfer.2022046651.

PY - 2022/10/26

Y1 - 2022/10/26

N2 - In this work, the stratified turbulent flow of several fluids in a channel of arbitrary shape was considered. It was assumed that the hydrostatic problem of finding free boundaries between different fluids has been solved, the regions in which individual fluids move are known, and the turbulent viscosity is known, but it is not constant in the cross section. The motion of the media arose under the actions of the applied pressure gradient and volumetric gravitational forces. Due to the conjugacy of the joint flow of N liquids, the density of the applied forces in the kth flow (Fk) can affect the flow rate of the ith liquid: Qi = Σj=1N Lik Fk. The results obtained prove in the most general form that the matrix of the coupling coefficients between the forces and flows is symmetric: Lik = Lki. This resembles the symmetry in Onzager's matrix of phenomenological coefficients in nonequilibrium thermodynamics; however, the reasons for these symmetries are different.

AB - In this work, the stratified turbulent flow of several fluids in a channel of arbitrary shape was considered. It was assumed that the hydrostatic problem of finding free boundaries between different fluids has been solved, the regions in which individual fluids move are known, and the turbulent viscosity is known, but it is not constant in the cross section. The motion of the media arose under the actions of the applied pressure gradient and volumetric gravitational forces. Due to the conjugacy of the joint flow of N liquids, the density of the applied forces in the kth flow (Fk) can affect the flow rate of the ith liquid: Qi = Σj=1N Lik Fk. The results obtained prove in the most general form that the matrix of the coupling coefficients between the forces and flows is symmetric: Lik = Lki. This resembles the symmetry in Onzager's matrix of phenomenological coefficients in nonequilibrium thermodynamics; however, the reasons for these symmetries are different.

UR - https://www.mendeley.com/catalogue/7cf5648a-0a17-3ee4-8bb6-341fc261a48c/

UR - https://www.elibrary.ru/item.asp?id=58537618

U2 - 10.1615/interfacphenomheattransfer.2022046651

DO - 10.1615/interfacphenomheattransfer.2022046651

M3 - Article

VL - 10

SP - 45

EP - 56

JO - Interfacial Phenomena and Heat Transfer

JF - Interfacial Phenomena and Heat Transfer

SN - 2169-2785

IS - 4

ER -