Abstract
The thermal stability of multilayer building envelopes in storehouses of juicy agricultural raw material is explored theoretically and observationally. The mathematical model featuring thermal conditions of storehouse’s constructions in view of heat-and-mass transfer processes in stored products is offered. Methods of security thermoanalysis for sandwich constructions in vegetable and potato storages including the analysis of their operation under cutout of supply systems are developed.
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Abbreviations
- a i :
-
thermal diffusivity of covering layers (m2/s)
- a m :
-
thermal diffusivity of the pile (m2/s)
- b :
-
temperature coefficient of the respiration rate (1/K)
- c a :
-
heat capacity of air (J/(kg K))
- c m :
-
heat capacity of the pile (J/(kg K))
- D :
-
diffusivity (m2/s)
- d(x, y,τ):
-
specific humidity of air in the pile (kg/kg)
- d 0 :
-
initial specific humidity of air in the pile (kg/kg)
- d t :
-
specific humidity of air in the top zone (kg/kg)
- E :
-
conversion coefficient (Pa)
- f(Tm):
-
approximation of temperature dependence of air equilibrium specific humidity (kg/kg)
- F m :
-
specific surface of the pile (m2/m3)
- H :
-
height of storehouse (m)
- \(k_1 = \frac{{\alpha _{\text{c}} F_{\text{m}} }} {{\rho _{\text{m}} c_{\text{m}} }}\) :
-
(1/s)
- \(k_2 = \frac{{\alpha _{\text{c}} F_{\text{m}} }} {{\varepsilon \rho _{\text{a}} c_{\text{a}} }}\) :
-
(1/s)
- Q :
-
respiration heat of stored product (W/kg)
- q 0 :
-
respiration heat of stored product at 0°C (W/kg)
- q 1max :
-
maximal convection heat flux from covering to air (W/m2)
- q 2max :
-
maximal convection heat flux from product to air (W/m2)
- q v :
-
vaporization heat (J/kg)
- q max :
-
maximal convection heat flux to air (W/m2)
- R :
-
thermal resistance of the covering (m2 K/W)
- T a :
-
air temperature in the pile (K)
- T a0 :
-
reference temperature of air in the pile (K)
- Te(x, y,τ):
-
temperature of outside air (K)
- T i :
-
temperatures of building envelope’s layers (K)
- T i0 :
-
reference temperatures of building envelope’s layers (K)
- T m :
-
temperature of the pile (K)
- T m0 :
-
reference temperature of the pile (K)
- T t :
-
air temperature in the top zone (K)
- u(x):
-
air speed in the product mass (m/s)
- x :
-
Cartesian coordinates (m)
- αc:
-
coefficient of convective heat exchange between air and product inside the pile (W/(m2 K))
- \(\alpha _{{\text{c}}_0 } \) :
-
coefficient of convective heat exchange between air and the surface of the pile (W/(m2 K))
- \(\alpha _{{\text{c}}_1 } \) :
-
coefficient of convective heat exchange between air in the top zone and the surface of the covering (W/(m2 K))
- αr:
-
coefficient of radiation heat exchange (W/(m2 K)]
- αe:
-
coefficient of convective heat exchange between the outer surface of building envelope and outside air (W/(m2 K))
- β:
-
coefficient of moisture exchange (kg/(m2 Pa s)]
- δ i :
-
linear dimensions (m)
- ɛ:
-
porosity of the pile, parts of units
- ɛm:
-
evaporative capacity of stored product (U)
- λ i :
-
thermal conductivity coefficients of building envelope’s layers (W/(m K))
- θ:
-
temperature of ventilating air (K)
- ρa:
-
density of air (kg/m3)
- ρm:
-
bulk density of the stored product (kg/m3)
- σ1:
-
emissivity factor of the outer surface of the covering (U)
- σ2:
-
emissivity factor of the inner surface of the covering (U)
- τ:
-
time (s)
- 0:
-
initial value
- a:
-
air
- c:
-
convection
- e:
-
environment
- i :
-
number of building envelope’s layer
- m:
-
mass (pile)
- r:
-
radiant
- t:
-
top zone
- v:
-
vaporization
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Kondrashov, V.I., Moiseenko, A.M. Thermoanalysis of juicy agricultural raw material storehouses with multilayer building envelopes. Heat Mass Transfer 41, 347–352 (2005). https://doi.org/10.1007/s00231-004-0532-6
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DOI: https://doi.org/10.1007/s00231-004-0532-6