IDENTIFICATION OF MATHEMATICAL MODEL OF MULTILAYER THERMAL INSULATION

2010 ◽  
Author(s):  
Aleksey Nenarokomov ◽  
Oleg M. Alifanov ◽  
Vivaldo M. Gonzalez
Keyword(s):  
Mathematical Model ◽  
Thermal Insulation

Mathematical model of transient heating of an anisotropic thermal insulation coating

2019 ◽  
Author(s):  
V. S. Zarubin ◽  
V. N. Zimin ◽  
V. S. Zarubin ◽  
V. V. Leonov
Keyword(s):  
Mathematical Model ◽  
Thermal Insulation ◽  
Transient Heating ◽  
Insulation Coating

Research on Heat Distribution in a Thermal Insulation Space and a Kind of Evaluation Involving Heat-Distribution and Valid Heating-Area

2013 ◽  
Vol 444-445 ◽  
pp. 1427-1433
Author(s):  
Hong Yang Jin ◽  
Zhi Hua Chen ◽  
Lang Li
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Standard Deviation ◽  
Thermal Insulation ◽  
Transfer Equation ◽  
Heating Process ◽  
Heat Distribution ◽  
Heat Transfer Equation ◽  
Heat Transmission

Considering that food always be spoiled in an oven, an analysis of the heat distribution of an object (pan) in a thermal insulation space has been done. The analysis based on the characteristics of heat transmission in an oven. A mathematical model is designed to illustrate the heating process. Specifically, in order to monitor the temperature of the object, pdetool in MATLAB is used to solve the heat transfer equation. Then to evaluate how an object performs in the oven, a method of standard deviation has been introduced. For the efficiency, valid heating area should also be considered. Thus an evaluation is made to choose a most preferring pan, which is balanced between heat distribution and valid heating area (number of pans). The experiment shows that shapes would devote much in performance. It is also demonstrated that there is a certain shape that can be most suitable to be a pan.

MEASUREMENT OF THERMOPHYSICAL PROPERTIES RIGID FIBER INSULATION

2021 ◽  
pp. 88-98
Author(s):  
A.V. Zuev ◽  
◽  
Yu.P. Zarichnyak ◽  
D.Ya. Barinov ◽  
◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Mathematical Model ◽  
Thermal Insulation ◽  
Wide Temperature Range ◽  
Thermal Protection ◽  
Refractory Oxide ◽  
Fibrous Materials ◽  
Gaseous Media ◽  
Highly Porous ◽  
Cylindrical Samples

Describes a mathematical model for processing the results of measurements of thermal conductivity of highly porous fibrous materials of thermal protection. The results and some methodological features of measuring the thermal conductivity of rigid thermal insulation based on refractory oxide fibers are presented. The possibility of measurements taking into account the anisotropy of properties is investigated. The stiffness of the thermal insulation at the fiber contacts is provided by the binder. Thermal conductivity was measured by the stationary method on cylindrical samples in a wide temperature range from 20 to 1700 °C in various gaseous media.

scholarly journals Mathematical modelling of the effect of heat fluxes from external sources on the surface of spacecraft

2020 ◽  
Vol 18 (4) ◽  
pp. 732-736
Author(s):  
Ko Ye ◽  
Polina Pronina ◽  
Pavel Polyakov
Keyword(s):  
Mathematical Model ◽  
Solar Radiation ◽  
Thermal Insulation ◽  
Test Object ◽  
Thermal State ◽  
Nonlinear Differential Equations ◽  
Heat Fluxes ◽  
Normal System ◽  
Solar Radiation Flux ◽  
Intractable Problem

Modelling the extraneous heat exchange of spacecraft using solar radiation simulation facility and simulators of the planetary radiation field in several cases is an intractable problem not only in technical but also in methodological terms. For some technical reasons, solar radiation simulator is stationary. Consequently, to reproduce a possible change in the orientation of the test object relative to the solar radiation flux, it is necessary to equip the thermal vacuum unit with devices that allow the test object to be rotated at least about two axes. In this paper, a mathematical model and a method for solving the problem of heat transfer in a multilayer structure of screen-vacuum thermal insulation under the influence of solar radiation is proposed. A method is proposed for the numerical solution of a normal system of nonlinear differential equations using the linearisation of nonlinear terms. Various results of numerical modelling were obtained, which indicate the adequacy of the proposed mathematical model. It has been revealed that high-inertia thermal insulation of sufficient thickness is required to stabilise the thermal state inside the spacecraft.

scholarly journals Experimental Verification of Model Simulation Results of Heating Cycles within the Electric Muffle Furnaces

2020 ◽  
Vol 5 (2) ◽  
pp. 36-46
Author(s):  
Jiří Lucák
Keyword(s):  
Mathematical Model ◽  
Silicon Carbide ◽  
Thermal Insulation ◽  
Experimental Verification ◽  
Model Simulation ◽  
Heating Furnace ◽  
Font Size ◽  
Muffle Furnace ◽  
Simulation Results ◽  
The Mathematical Model

<p><span style="font-family: Times New Roman; font-size: small;">The paper [1] described a mathematical model of the electric muffle furnace. A specific solution of real models has been already solved and presented within this paper. The first one is the muffle heating furnace equipped with a fireproof clay muffle (MODEL I) and thermal insulation of expanded fireproof clay. As the second variant the furnace equipped with a silicon carbide muffle (MODEL II) and with a thermal insulation of fibre ceramic boards of Sibral type is presented. Further the paper presents the results of simulations of the same heating cycles performed using the mathematical model presented in the paper [1] and comparing these results with the progression of the values measured in real furnaces.</span></p><p><span style="font-family: Times New Roman; font-size: small;">Experiment and simulation assessment will be carried out as the final step hereof. Equipment parameters are sources from technical documentations of the manufacturers.</span></p>

Thermal Insulation Properties of Wood Polymeric Sand Composite

2018 ◽  
Vol 284 ◽  
pp. 986-992 ◽  
Author(s):  
T.N. Storodubtseva ◽  
A.A. Aksomitny ◽  
A.R. Sadrtdinov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Heat Capacity ◽  
Thermal Insulation ◽  
Construction Materials ◽  
The Other ◽  
External Temperature ◽  
Modeling And Analysis ◽  
The Mathematical Model ◽  
Better Than

The mathematical model of a wood polymeric sand composite has been developed, which allows studying the thermal insulation properties of a composite material, taking into account the ratio of wood filler to the other components, the method for obtaining samples, and the type of wood filler. The technique of modeling and analysis of the obtained results is given. By mathematical modeling it was established that the wood polymeric sand composite has thermal insulation properties 2-3 times better than that of construction materials based on concrete. Construction materials based on the developed composite have a higher heat capacity than pure wood, which allows them to better maintain the constancy of the temperature inside the premises with significant daily fluctuations in the external temperature. A series of practical tests were conducted to evaluate the reliability of the results obtained. The discrepancy between theoretical and practical results does not exceed 5%.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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