The authors have solved the problem of a liquid flow over the surface of a rotating conic heat-transfer device with thermal boundary conditions of the second kind with account of heat losses to the vapor-gas phase. Relations have been obtained for calculation of the mean mass temperature, the Nusselt number, and other characteristics of the heating process of the film.
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- ν l , ν z :
meridional and normal velocity components, m/sec
angular velocity, sec−1
- d :
thermal diffusivity, m2/sec
liquid density, m3/sec
- g :
gravity acceleration, m2/sec
shear stress, Pa
- q :
heat flux density, W/m2
thermal conductivity, W/(m·K)
thickness of TBL, m
- s :
dimensionless thickness of TBL
- Q 0 :
liquid flow rate, m3/sec
- δ0 :
thickness of the liquid film, m
- r :
specific evaporation rate, J/kg
mass-transfer coefficient, m/sec
heat transfer coefficient, W/(m2·K)
- R * :
gas constant, J/(kg·K)
- c p :
specific heat, J/(kg·K)
- P sat :
saturated vapor pressure, Pa
kinematic viscosity, m2/sec
- D :
diffusion coefficient, m2/sec
- F 1 :
projection of the mass force onto the coordinate axisl, −m2/sec
surface of the liquid film
initial value of the parameter
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A. A. Bulatov, F. M. Gimranov, and N. Kh. Zinnatullin, Teor. Osnovy Khim. Tekhnol.24, No. 6, 735–742 (1990).
C. Gazley and A. Charwat, in: Heat and Mass Transfer, Minsk (1968), Vol. 10, pp. 401–419.
V. V. Dil'man and A. D. Polyanin, Methods of Model Equations and Analogies in Chemical Engineering [in Russian], Moscow (1988).
S. S. Kutateladze, Fundamentals of the Heat Transfer Theory [in Russian], Moscow (1979).
V. B. Kogan and M. A. Kharisov, Equipment for Vacuum Separation of Mixtures [in Russian], Leningrad (1976).
J. Perry, Handbook of a Chemical Engineer [Russian translation], Leningrad (1969), Vol. 1.
Kazan State Technological Institute, Kazan, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 5, pp. 781–788, September–October, 1995.
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Gimranov, F.M., Zinnatullina, G.N., Gavrilov, E.B. et al. Heating of a film flowing over the surface of a rotating heat transfer device. J Eng Phys Thermophys 68, 632–639 (1995). https://doi.org/10.1007/BF00858063
- Boundary Condition
- Heat Transfer
- Statistical Physic
- Heat Loss
- Nusselt Number