Abstract
A study of the stability of an electrically heated single channel, forced convection horizontal system was conducted by using Freon-11 as the test fluid. Two major modes of oscillations, namely, density-wave type (high frequency) and pressure-drop type (low frequency) oscillations have been observed. The steady-state operating characteristics and stable and unstable regions are determined as a function of heat flux, exit orifice diameter and mass flow rate. Different modes of oscillations and their characteristics have been investigated. The effect of the exit restriction on the system stability has also been studied.
A mathematical model has been developed to predict the transient behavior of boiling two-phase systems. The model is based on homogenous flow assumption and thermodynamic equilibrium between the liquid and vapor phases. The transient characteristics of boiling two-phase flow horizontal system are obtained for various heat inputs, flow rates and exit orifice diameters by perturbing the governing equations around a steady state. Theoretical and experimental results have been compared.
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Abbreviations
- A :
-
area, m2
- C 1,C 2 :
-
constants
- G :
-
mass flux, kg/m2s
- h :
-
enthalpy, J/kg
- K :
-
loss coefficient
- L b :
-
boiling length, m
- L h :
-
heater length, m
- L ph :
-
preheater length, m
- L 1 :
-
length of region 1, m
- L 2 :
-
length of region 2, m
- m :
-
mass flow rate, kg/s
- p :
-
pressure, N/m2
- Δp s :
-
system pressure drop, from inlet of heater to exit, N/m2
- q :
-
heat input rate per unit length, w/m
- R :
-
V go ρ1/Ap to ,s 2/m
- s :
-
complex variable, 1/s
- τ :
-
residence time of liquid particle in preheater, s
- t :
-
time, s
- u :
-
velocity, m/s
- V :
-
volume, m3
- v :
-
specific volume, m3/kg
- x :
-
quality
- Z :
-
space variable, m
- Δ :
-
perturbated quantity
- δ :
-
Laplace-transformed perturbated quantity
- Ω :
-
v fg q/h fg A, 1/s
- ρ :
-
density, kg/m3
- b :
-
boiling region
- e :
-
exit
- f :
-
saturated liquid
- fg :
-
difference between the saturated liquid and gas
- g :
-
saturated gas
- l :
-
subcooled liquid
- M :
-
main tank
- or:
-
orifice
- r :
-
restriction
- t :
-
surge tank
- 1:
-
region 1
- 2:
-
region 2
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Yüncü, H., Yildirim, O.T. & Kakaç, S. Two-phase flow instabilities in a horizontal single boiling channel. Appl. Sci. Res. 48, 83–104 (1991). https://doi.org/10.1007/BF01998667
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DOI: https://doi.org/10.1007/BF01998667