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Application of frequency methods for studying nonstationary regimes in the functioning of heat-engineering systems

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Journal of engineering physics Aims and scope

Abstract

A method is proposed for numerical calculation of complex systems of partial and ordinary differential equations, based on the use of the integral Laplace and Fourier transform.

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Abbreviations

T:

temperature

V:

rate of motion of the heat-exchange agent

α1 :

heat-transfer coefficient

II1 :

perimeter of the heat-exchange agent channel

c1 :

specific heat capacity of the heat-exchange agent

ρ1 :

density

g:

acceleration due to gravity

S1 :

area of the transverse cross section of the heat-exchange agent channel

x and y:

spatial coordinates

τ:

time

a1 :

thermal diffusivity

ν :

relative insulation area

c2 :

specific heat capacity of the wall

ρ2 :

density of the wall

r:

thermal resistance of the insulation

q:

specific heat flux

ɛ:

emissivity

σo :

Stefan-Boltzmann constant

Fw, i:

area of the transverse cross section of the duct wall

kse :

coefficient of amplification of the sensing element

Tse :

time constant for the sensing element

U:

voltage

kdr :

drive amplification coefficient

Tdr :

drive time constant

klfr :

coefficient for amplification of the liquid flow regulator

G:

weight flow rate of the heat-transfer agent

\(\bar \phi \) :

relative deviation of the regulator

k8 = (dq2/dT3)o;k9 = (dq2/dT8)o;k10 = (dq2/dG2)o :

coefficient of sensitivity for liquid-liquid heat exchanger according to the input parameters

τo,j:

time spent by the heat-transfer agent in the j-th element

mj :

mass of the heat-transfer agent in the j-th element: k17 = (dq4/dT10)o

k18 = (dq4/dT6)o :

coefficient of sensitivity of the gas-liquid heat-exchange agent according to the input parameters) W, transfer function

d:

ducts

w:

walls

se:

sensing elements

dr:

drive

1fr:

liquid flow regulator

Literature cited

  1. E. G. Dudnikov and M. P. Simoyu, “Models, mathematical methods and computational technology for control,” Vopr. Prom, Kibern., No. 27, 70–73 (1970).

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  2. F. A. Vul'man and N. S. Khor'kov, Heat Computer Calculations for Heat Energy Installations [in Russian], Énergiya, Moscow (1975), p. 199.

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Author information

Authors and Affiliations

  1. Mechanical Institute, Leningrad

    V. I. Baloban, V. N. Guseva, S. I. Korolev & V. V. Shkvartsov

Authors
  1. V. I. Baloban
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  2. V. N. Guseva
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  3. S. I. Korolev
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  4. V. V. Shkvartsov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 699–703, October, 1980.

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Baloban, V.I., Guseva, V.N., Korolev, S.I. et al. Application of frequency methods for studying nonstationary regimes in the functioning of heat-engineering systems. Journal of Engineering Physics 39, 1121–1124 (1980). https://doi.org/10.1007/BF00822148

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  • DOI: https://doi.org/10.1007/BF00822148

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