Heat transport in the flow of magnetized nanofluid over a stretchable surface with heat sources: A mathematical model with realistic conditions

2021 ◽  
Author(s):  
Joby Mackolil ◽  
B. Mahanthesh ◽  
Taseer Muhammad
Keyword(s):  
Mathematical Model ◽  
Heat Transport ◽  
Heat Sources

scholarly journals SIMULATION OF HEAT TRANSPORT AT THE COOLING OF THE SUGAR SOLUTION IN A RECUPERATION EXCHANGER

2015 ◽  
Vol 55 (3) ◽  
pp. 140-145 ◽  
Author(s):  
Tomáš Brestovič ◽  
Mária Čarnogurská ◽  
Miroslav Příhoda ◽  
Michal Kubík
Keyword(s):  
Mathematical Model ◽  
Heat Transport ◽  
Sugar Solution ◽  
Cooling Process ◽  
Cooling Performance ◽  
The Real ◽  
Operation Temperature ◽  
The Individual

<p>The paper describes a mathematical model of the cooling process of a highly concentrated sugar solution in an exchanger with a specifically shaped heat exchanging surface of the cooling panels. An analysis of the individual parts of the stum cooling line is made, dealing with the cooling performance of the cooling panels located in the stum tanks, whose volume is 3230 litres or 1430 litres. One of the monitored parameters is the cooling performance of the JN30 aggregate. The article also deals with an appropriateness of the aggregate for cooling the stum of the total volume 78.21 m<sup>3</sup>, from the real operation temperature to 0 °C during 48 hours.</p>

The Numerical Simulation of the Solar-Air Dual-Source Heat Pump System

2011 ◽  
Vol 138-139 ◽  
pp. 305-309
Author(s):  
Chao Zhang ◽  
Xiao Dan Zhao ◽  
Guang Hui Zhou
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Heat Pump ◽  
Parameter Method ◽  
Heat Sources ◽  
The Novel ◽  
Pump System ◽  
Heat Pump System ◽  
Dual Source ◽  
The Mathematical Model

The heat pump technology which is as an effective energy-saving technology has attracted more and more attentions. A novel solar-air dual-source heat pump system which could synchronously use two heat sources has been provided. In this paper, the mathematical model of the new heat pump system has been built and the calculation accuracy of the mathematical model has been proved. Based on a novel solar-air dual-source heat pump system, the mathematical models of the thermophysical parameters of working fluids, compressor, capillary, condenser, evaporator, and heat pump system have been established. The distribution parameter method has been adopted in the mathematical models of condenser and evaporator. Three operation modes of the novel solar-air dual-source heat pump system have been simulated. The simulated results and the experimental results have been compared. The experiments of the novel solar-air dual-source heat pump system have been accomplished in the constant temperature and humidity laboratory. The compared results show that the error is less than 10%.

scholarly journals Transport of heat through the skin

2017 ◽  
Vol 15 (1) ◽  
pp. 68-71
Author(s):  
Yury I Luchakov ◽  
Petr D Shabanov
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Heat Transport ◽  
Convective Heat ◽  
Human Body ◽  
Blood Stream ◽  
Conductive Heat ◽  
Skin Region ◽  
Superficial Skin ◽  
Different Tissues

The transport of heat through the skin of the human body has been investigated in the paper. The analysis of cytoarchiterture of this region was done, a model of vascular stream of the skin was built where the transient microregion typical for its different tissues was separated. A mathematical model taking part both convective and conductive heat transport was reproduced for this microregion. There was no heat transfer through the blood but only conductive heat transport was shown to be in the superficial skin tissue strates having blood current. In the norm, there was convective heat transport preferably in the deeper skin strates of the hypoderm where arterials and veins of more than 100 and 300 um in diameter were lying. The organism was revealed to able to increase or decrease the skin region where there was only convective or conductive heat transport by means of changing the blood stream. Therefore, the organism is able to change the size of peripheral tissue where there is only convective or only conductive heat transfer according to physiological necessity.

scholarly journals To determination of temperature in a two-layer shell with cubic distribution by layer thickness

2021 ◽  
pp. 22-34
Author(s):  
Oleksandr Hachkevych ◽  
Mykola Hachkevyc ◽  
Adrian Torskyy ◽  
Valentyn Mozharovskyy
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Layer Thickness ◽  
Outer Surface ◽  
Convective Heating ◽  
Heat Sources ◽  
Inner Surface

A mathematical model for determining the temperature in a two - layer shell under convective heating and heat sources is constructed. The temperature field for a two-layer shell thermally insulated on the inner surface, which is heated by temperature from the outer surface, is considered.

scholarly journals An Explicit Algorithm for the Simulation of Fluid Flow through Porous Media

2018 ◽  
Vol 173 ◽  
pp. 06012 ◽  
Author(s):  
Marina Trapeznikova ◽  
Natalia Churbanova ◽  
Anastasiya Lyupa
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Porous Media ◽  
System Of Equations ◽  
Heat Sources ◽  
Flow Through Porous Media ◽  
Multicomponent Fluid ◽  
Medium Flow ◽  
Flow Through ◽  
Porous Medium Flow

The work deals with the development of an original mathematical model of porous medium flow constructed by analogy with the quasigasdynamic system of equations and allowing implementation via explicit numerical methods. The model is generalized to the case of multiphase multicomponent fluid and takes into account possible heat sources. The proposed approach is verified by a number of test predictions.

Mathematical model of the optimization of the structure of nuclear heat sources

1979 ◽  
Vol 47 (4) ◽  
pp. 816-819
Author(s):  
V. P. Brailov ◽  
M. E. Voronkov ◽  
V. M. Chakhovskii
Keyword(s):  
Mathematical Model ◽  
Heat Sources ◽  
Nuclear Heat

Mathematical Approaching and Experimental Assembly to Evaluate the Risks of In-Service Welding in Hot Tapping

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
Ivo Andrei de O. L Lima ◽  
Alex Alisson Bandeira Santos
Keyword(s):  
Mathematical Model ◽  
Heat Source ◽  
Arc Welding ◽  
Numerical Models ◽  
Temperature Fields ◽  
Physical Situation ◽  
Rectilinear Motion ◽  
Heat Sources ◽  
The Mathematical Model ◽  
Burn Through

The welding onto in-service pipeline (operation condition) results in three possibilities of high risks: leaking and/or explosion by burn-through, chemical reactions to instability, or even explosion due to the heat on internal fluid and cracking in heat affected zone (HAZ). The numerical methods have a useful role in the assessment of welding conditions for the safe in-service welding of pipelines. Only limited published works have considered direct calculation of burn-through using a combination of thermal and stress analysis. The mathematical model of the heat source is the most important part of these numerical models, and actually the mathematical model which described better the heat distribution of the arc welding through gas-shielded tungsten arc welding (GTAW) process or shielded metal arc welding process is the double ellipsoidal heat source (DEHS) model of Goldak and Akhlaghi (2010, Computational Welding Mechanics, Springer Books, New York, pp. 32–35). However, that model has considered the heat source in rectilinear motion only, and it depends on three parameters (a, b, c) which are related with the weld bead size and shape to define the geometry and co-ordinates of heat source, and they are determined empirically or experimentally. Few researchers published works that could determine these parameters mathematically, from the welding data. The publication that best analytically addressed this issue was the work of Eagar and Tsai (1983, “Temperature Fields Produced by Traveling Distributed Heat Sources,” Weld. J., 62(12), pp. 346–355). First, this paper presents a new equation for heat source in double ellipsoid considering the circular motion, trying to develop a model closer to the physical situation of hot tapping onto pipeline. Second, a proposal for determination of the parameters a, b analytically from the Eagar model and Tsai (1983, “Temperature Fields Produced by Traveling Distributed Heat Sources,” Weld. J., 62(12), pp. 346–355), and third, an experimental facility to get the temperature field that was used to validate the numerical finite element models.

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