Mathematical Model for Calculating Heat Exchange

2021 ◽  
pp. 243-249
Author(s):  
Turakhodjaev Nodir ◽  
Tursunbaev Sarvar ◽  
Jeltukhin Andrey ◽  
Meliboyev Yahyojon
Keyword(s):  
Mathematical Model ◽  
Heat Exchange

scholarly journals Innovative technology for reducing the rate of sediment formation in the power plants channels

2020 ◽  
Vol 164 ◽  
pp. 01033
Author(s):  
Anatoly Muraviev ◽  
Alexander Nadeev ◽  
Alexander Naumov ◽  
Inna Pereslavtseva
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat Exchange ◽  
Power Plants ◽  
Particle Distribution ◽  
Innovative Technology ◽  
System Of Equations ◽  
Sediment Formation ◽  
Shell And Tube

This paper considers the increasing the mass transfer intensity due to the use of annular baffles in the tubes of shell-and-tube heat exchange apparatuses. A mathematical model for calculating the system of equations for the evolution of particle distribution in the form of sediments has been developed.

DEVELOPMENT OF MATHEMATICAL MODEL OF BLAST FURNACE SMELTING

2007 ◽  
Vol 03 (03) ◽  
pp. 399-407 ◽  
Author(s):  
ANDREY N. DMITRIEV
Keyword(s):  
Mathematical Model ◽  
Blast Furnace ◽  
Heat Exchange ◽  
Mathematical Description ◽  
Gas Dynamics ◽  
Iron Ores ◽  
Blast Furnace Smelting ◽  
Furnace Smelting

The solution of a problem of mathematical description of heat exchange, gas dynamics and the physicochemical phenomena taking place in blast furnace, and some of its application for the study of processes, and defining reduction of metals from multicomponent iron ores are considered.

Modeling Heat Transfer in Human Arm and Forearm: Effect of Countercurrent Heat Exchange and Superficial Veins

2008 ◽  
Author(s):  
Maurício S. Ferreira ◽  
Jurandir I. Yanagihara
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Blood Flow ◽  
Heat Exchange ◽  
Heat Sink ◽  
Human Tissue ◽  
Thermal Equilibrium ◽  
Venous Blood ◽  
Perfusion Rate ◽  
Human Arm

In 1948, Pennes [1] presented a mathematical model of heat transfer in human tissue. The effect of blood flow on heat transfer was modeled as heat sink or source whose magnitude is proportional to the volumetric perfusion rate and difference between arterial and venous temperature [2]. Pennes assumed that thermal equilibrium occurs in the capillary beds, although Chen [3] showed that it occurs in bigger vessels before the blood enters the beds. Weinbaum et al. [2] and Zhu et al. [4] studied the thermal effect of vessels in the range of 50 to 1,000 μm on muscle tissue, and recognized the importance of countercurrent heat exchange. Hirata et al. [5] showed that the heat loss in the forearm is enhanced by the venous blood returning through the superficial veins and that arterious-venous anastomoses (AVAs) presented in the hands are important to thermoregulation.

scholarly journals MODELLING OF TEMPERATURE FIELD DISTRIBUTION IN BIOLOGICAL TISSUE THERMAL LESION

2021 ◽  
Vol 297 (3) ◽  
pp. 208-215
Author(s):  
JULIA SHTEFURA ◽  
◽  
KOSTIANTYN SHEVCHENKO ◽  
OLEH KOZYR ◽  
OLEKSII STATSENKO ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Heat Exchange ◽  
Field Distribution ◽  
Thermal Regime ◽  
Biological Tissue ◽  
Thermal Model ◽  
Temperature Field Distribution ◽  
Thermal Lesion ◽  
Exchange Processes

Early determination of the thermal lesion degree in case of scald accelerates the treatment process and increases its effectiveness. The thermal lesion degree can be evaluated by determining the temperature difference between healthy and injured areas of biological tissue. For this purpose, a model of biological tissue in the form of a multilayer structure can be used. Heat exchange processes in such a structure are described by a generalized thermal model. Such structure contains conditionally flat heat sources located in each layer, which have the form of a developed network of blood vessels. The considered model of biological tissue quite accurately describes the heat exchange processes in body tissues. The article considers heat exchange processes that take place in biological tissue and a number of assumptions that should be used to mathematically describe these processes were identified. During the analysis of heat transfer process, the equations of temperature distribution in the tissue layers and the boundary conditions that describe the thermal interaction of the model with the environment are determined. As a result, the model of the stationary thermal regime of a biological tissue fragment in the form of a generalized thermal model and a mathematical model of the temperature field distribution in this fragment is obtained. This model is determined by many parameters, which are divided into 3 groups: thermophysical parameters; structural and topological parameters; parameters of the blood vascular system. Models of the particular fragment thermal regime are unequivocally determined by a combination of these parameters. For the analysis of temperature in any point of biological tissue modelled part mathematical model of temperature field distribution in stationary mode was developed. This model allows reasonable approach to the thermal lesion degree evaluation on the basis of the surface temperature difference between healthy and injured areas of tissue.

scholarly journals Radiation of Heat in an Insulating Vacuum Layer

2017 ◽  
Vol 69 (1) ◽  
pp. 87-100
Author(s):  
Mária Minárová
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Heat Exchange ◽  
Heat Storage ◽  
Storage System ◽  
Heat Accumulation ◽  
Insulating Layer ◽  
System A ◽  
Set Up ◽  
Heat Transfer By Radiation

Abstract The paper is motivated by the previous research concerning the heat transfer in a heat accumulation device. The device had been explored, built up and tested with the aim of utilization of cheap solar energy and its storage. In this heat storage system, a vacuum-like gap between two concentric containers acts as an insulating layer, radiation being the predominant heat transfer type in the gap. The better knowledge and understanding of the heat exchange by radiation, the more effectiveness of the insulation of the layer can be reached. Heat transfer by radiation is explored in the paper, mathematical model is set up, the algorithm of non-linear transient computation is introduced, and some illustrative results of this computation are performed.

scholarly journals Mathematikal model of calclation parabola-cylindirical solar hot water systems of industrial enterprises

2020 ◽  
Vol 3 (9) ◽  
pp. 33-38
Author(s):  
Sulaymonov Husanboy Mannopovich
Keyword(s):  
Mathematical Model ◽  
Heat Exchange ◽  
Convective Heat ◽  
Convective Heat Exchange ◽  
Water Systems ◽  
Heat Losses ◽  
Heat Energy ◽  
Hot Water ◽  
Industrial Enterprises ◽  
Useful Heat

The article analyzes a mathematical model for calculating solar parabola cylindrical hot water systems for industrial and municipal enterprises. The formulas for determining heat losses associated with radiant and convective heat exchange, as well as useful heat energy and efficiency of solar parabola-cylindrical systems for obtaining heat for industrial purposes are given.

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