Abstract
A mathematical model simulating the thermo- and hydrodynamic processes near the thermal bar in the period of lake warming in spring is considered. A closed system of Reynolds type equations is constructed based on the Navier–Stokes nonlinear system of equations using the Boussinesq approximation and a special technique for isolating large-scale structures in turbulent medium. The turbulent viscosity coefficient is evaluated in the course of problem solution. The results of calculations are shown to agree well with field observation data.
Similar content being viewed by others
REFERENCES
Boyarinov, P.M. and Petrov, M.P., Protsessy formirovaniya termicheskogo rezhima v glubokikh presnovodnykh vodoemakh (Processes of Thermal Regime Formation in Deep Freshwater Reservoirs), Leningrad: Nauka, 1991.
Bochkarev, O.B., Vasil'ev, O.F., and Kvon, V.I., Dokl. Akad. Nauk, 1996, vol. 349, no. 4, p. 530.
Gryaznov, V.L. and Polezhaev, V.I., Issledovanie nekotorykh raznostnykh skhem i approksimatsiya granichnykh uslovii dlya chislennogo resheniya uravnenii teplovoi konvektsii (Examination of Some Difference Schemes and Approximation of Boundary Conditions for Numerical Solution of Thermal Convection Equations), Moscow: Inst. Prikl. Mekh. Akad. Nauk SSSR, 1974.
Kovalev, V.A. and Ordanovich, A.E., Available from VINITI, 1981, Moscow, no. 2771.
Naumenko, M.A., Meteorol. Gidrol., 1989, no. 6, p. 89.
Tikhomirov, A.N., Izv. VGO, 1959, vol. 91, no. 5, p. 324.
Tikhomirov, A.N., Izv. VGO, 1963, vol. 95, no. 2, p. 134.
Tikhomirov, A.N., Termika krupnykh ozer (Thermal Conditions of Large Lakes), Leningrad: Nauka, 1982.
Tsvetova, E.A., Vychisl. Tekhnol., 1997, vol. 2, no. 2, p. 102.
Forel, F.A., Arch. Sci. Phys. Nat., Ser. 4, 1901, vol. 12, p. 35.
Malm, J., Thermal Bar Dynamics. Spring Thermo-and Hydrodynamics in Large Temperate Lakes, Lund: Department of Water Resources Engineering, Univ. of Lund, 1994, Report no. 1012.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Blokhina, N.S., Ordanovich, A.E. & Savel'eva, O.S. Model of Formation and Development of Spring Thermal Bar. Water Resources 28, 201–204 (2001). https://doi.org/10.1023/A:1010339919712
Issue Date:
DOI: https://doi.org/10.1023/A:1010339919712