scholarly journals The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment

2020 ◽  
pp. 86-91
Author(s):  
Uladzimir V. Karalevich ◽  
Dmitrij G. Medvedev
Keyword(s):  
Heat Exchange ◽  
Temperature Distribution ◽  
Heat Conduction Problem ◽  
External Environment ◽  
Heat Sources ◽  
Stationary Heat ◽  
Annular Plates ◽  
Outer Border ◽  
Polar Orthotropic ◽  
Account Heat

We study the influence of N extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment. The solution of the stationary heat conduction problem for anisotropic annular plates of a random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conductivity problem for a reverse conical polar-orthotropic ring plate is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.

scholarly journals Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases

2021 ◽  
pp. 99-104
Author(s):  
Uladzimir V. Karalevich ◽  
Dmitrij G. Medvedev
Keyword(s):  
Heat Conduction ◽  
Temperature Distribution ◽  
Anisotropic Plate ◽  
Heat Conduction Problem ◽  
Heat Sources ◽  
Stationary Heat ◽  
Annular Plates ◽  
Outer Border ◽  
Stationary Heat Conduction ◽  
Polar Orthotropic

The solution of the stationary heat conduction problem for profiled polar-orthotropic annular plates with heat-insulated bases from N extended heat sources at their external border is presented. The temperature distribution in such plates will be non-axisymmetric. The solution of the stationary heat conduction problem for anisotropic annular plates of an random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conduction problem for polar-orthotropic annular plate of an exponential profile is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.

scholarly journals Solution of nonaxisymmetric stationary problem of heat conductivity for polar-orthotropic ring plate of variable thickness with account of heat transfer with external environment

2020 ◽  
pp. 47-58
Author(s):  
Uladzimir V. Korolevich
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Heat Conductivity ◽  
External Environment ◽  
Stationary Problem ◽  
Constant Thickness ◽  
Stationary Heat ◽  
Annular Plates ◽  
Ring Plate ◽  
Polar Orthotropic

The solution of the nonaxisymmetric stationary problem of the heat conductivity for profiled polar-orthotropic annular plates considering the heat exchange with external environment through the bases is presented. Thermophysical characteristics of the material of the plate are assumed to be temperature-independent. A constant temperature T1∗ is maintained on the inner contour of the ring plate and on the outer contour N equidistant point sources of heat with the same temperature T2∗ each are applied. Plate temperature is higher than ambient temperature T0 (T0 < T1∗ < T2∗). It is assumed that the temperature does not vary in thickness of a thin ring plate. The temperature values on the contours of the annular plate are given. There are no internal heat sources in the plate. The temperature distribution in such plates will be nonaxisymmetric.  Analytical solutions of the stationary heat conductivity problem for the following anisotropic annular plates are presented: the plate of constant thickness, the back conical and the conical plate. The Volterra integral equation of the second kind corresponding to the given differential equation of the stationary heat conductivity for profiled anisotropic annular plates is written to obtain the solution in the general case. The kernels of the integral equation for anisotropic annular plates of power and exponential profiles are given explicitly. The solution of the integral equation is written by using the resolvent. It is indicated that due to the presence of irrational functions in the kernels of the integral equation it is necessary to apply numerical methods in the calculation of iterated kernels or numerically solve the Volterra integral equation of the second kind. A formula for the calculation of temperatures in anisotropic annular plates of an arbitrary profile is given.

MODELING THE EFFECT OF HEAT EXCHANGE ON THE EFFICIENCY OF A THERMOELECTRIC COOLER

2020 ◽  
Vol 2 ◽  
pp. 132-135
Author(s):  
O.I. MARKOV
Keyword(s):  
Numerical Calculation ◽  
Heat Exchange ◽  
Solid State ◽  
Numerical Modelling ◽  
Temperature Difference ◽  
Maximum Temperature ◽  
Thermoelectric Cooler ◽  
Maximum Temperature Difference ◽  
Peltier Cooler ◽  
Account Heat

Numerical modelling thermal and thermoelectric processes in a branch of solid–state thermoelectric of Peltier cooler is performed, taking into account heat exchange by convection and radiation. The numerical calculation of the branch was carried out in the mode of the maximum temperature difference.

Inductive heating of fluidized beds: Mobile versus stationary heat exchange elements

2018 ◽  
Vol 37 (5) ◽  
pp. 652-663 ◽  
Author(s):  
Vesselin V. Idakiev ◽  
Andreas Bück ◽  
Lothar Mörl ◽  
Evangelos Tsotsas
Keyword(s):  
Heat Exchange ◽  
Fluidized Beds ◽  
Inductive Heating ◽  
Stationary Heat

scholarly journals Study on non-stationary heat exchange in combined packages of water-resistant protective clothing of firefighters

2020 ◽  
Vol 64 (4) ◽  
pp. 467-476
Author(s):  
A. I. Ol’shanskii ◽  
R. V. Okunev ◽  
A. M. Gusarov
Keyword(s):  
Thermal Conductivity ◽  
Heat Exchange ◽  
Protective Clothing ◽  
Thermal Contact ◽  
Exchange Process ◽  
Toxic Substances ◽  
Nonlinear Transport ◽  
Stationary Heat ◽  
Technical Requirements ◽  
Linearization Methods

The results of research of non-stationary heat exchange in combined packages intended for creation of special water- and heat-resistant protective clothing of firefighters from dangerous and harmful factors during emergency rescue and other urgent works, with participation of non-toxic substances, acid solutions, alkalis, oil and petroleum products, liquid toxic substances, as well as during operation in water with temperature from 0 to 70 °С are presented. The stability of clothing material packs has been investigated as a transient heat exchange process in a multilayer plate with ideal thermal contact at the joints of the layers. The unlimited plate is heated on both sides under different heat exchange conditions according to Newton’s Law, with constant action of the heat source on one of the surfaces of the hot liquid contacting through the waterproof thin surface. Second surface of the plate interacts with external medium, temperature of which varies according to linear law. At solving the equation of non-stationary thermal conductivity with nonlinear transport coefficients, linearization methods are used based on the approximation of nonlinear coefficients, such that nonlinear equations become approximately linear. The entire heat transfer process is divided into a plurality of small-time intervals within which the transfer coefficients are constant. The zonal method of investigation of non-stationary thermal conductivity in clothing packages establishes equations for calculation of temperature, densities of thermal flows, distribution of temperature across thickness of clothing packages. It has been shown that under accepted calculation simplifications, parameter values are well consistent with the experiment. The composition of the clothing package is proposed, which meets the technical requirements of TУ BY 101114857.082-2015 “Personal Protective Kits”.

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