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Simulation of the heat-and-mass transfer in the mound of stored biological product with centers of spontaneous heating

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Abstract

The mathematical model of the interdependent heat-and-mass transfer in a mound of stored biological product in view of the centers of spontaneous heating is offered. The finite-element solution was developed. The heat-and-moisture analysis of the mound was carried out making possible determining the optimum storage procedure.

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Abbreviations

a a :

thermal diffusivity of air, m2/s

\(\hat{a}_{\rm a}\) :

thermal diffusivity of air in the mound in view of porosity, m2/s

a cov :

thermal diffusivity of the covering, m2/s

\(\hat{a}_{\rm m}\) :

thermal diffusivity of the mound in view of porosity, m2/s

b :

vital heat temperature coefficient, 1/K

c a :

heat capacity of air, J/(kg·K)

c m :

heat capacity of the mound, J/(kg·K)

D :

diffusion coefficient, m2/s

d :

moisture content of air in the mound, kg/kg

d p :

average diameter of a mound particle, m

E :

conversion factor, Pa

F m :

specific surface area of the mound, m2/m3

l :

thickness of the enclosure, m

q 0 :

specific power of vital heat at temperature 273 K, W/kg

q e :

specific heat of evaporation, J/kg

T a :

air temperature in the mound, K

T cov :

temperature of the covering, K

T m :

temperature of the mass of produce, K

T out :

ambient temperature, K

T u :

air temperature in the upper zone, K

T ch :

air temperature at the mound entrance points (at the air channel outlets), K

\(\bar{u}\) :

air speed within the mound

u :

absolute value of air speed within the mound, m/s

α:

coefficient of heat exchange between the outer side of the enclosure and surrounding medium, W/(m2 K)

\(\alpha_{{c_{1}}}\) :

coefficient of convective heat exchange between elements of the mound and ventilating air, W/(m2 K)

\(\alpha_{{c_{2}}}\) :

coefficient of convective heat exchange between air in the upper zone and the surface of the mound, W/(m2 K)

αm :

coefficient of convective heat exchange between the side face of the mound and surrounding medium in view of the thermal resistance of enclosures, W/(m2 K)

\(\alpha_{{{r}_{2}}}\) :

coefficient of radiant heat exchange between surfaces of the mound and the covering, W/(m2 K4)

β:

moisture exchange coefficient, kg/(m2 Pa s)

ɛ:

porosity of the mound, U

ɛm :

evaporative capacity of the mound elements, U

λa :

air thermal conductivity, W/(m K)

λen :

thermal conductivity of the enclosure, W/(m K)

λm :

mound thermal conductivity, W/(m K)

μ:

air dynamic viscosity, Pa s

ρa :

air density, kg/m3

ρp :

physical density of the produce, kg/m3

Φ:

relative humidity, %

0:

initial value

a:

air

c:

convective

ch:

air channel

cov:

covering

e:

evaporation

en:

enclosure

f:

friction

i:

inertial

m:

mass (mound)

out:

outdoor

p:

produce

ph:

physical

r:

radiant

u:

upper zone

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Authors and Affiliations

  1. Oryol State Technical University, 29, Naugorskoe shosse, Oryol, 302020, Russia

    V. I. Kondrashov & V. M. Tyukov

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  1. V. I. Kondrashov
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  2. V. M. Tyukov
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Correspondence to V. I. Kondrashov.

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Kondrashov, V.I., Tyukov, V.M. Simulation of the heat-and-mass transfer in the mound of stored biological product with centers of spontaneous heating. Heat Mass Transfer 43, 191–199 (2006). https://doi.org/10.1007/s00231-006-0085-y

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