Mathematical model and numerical solutions for the coupled gas–solid heat transfer process in moving packed beds

2017 ◽  
Vol 206 ◽  
pp. 1297-1308 ◽  
Author(s):  
Zheng Cui ◽  
Wei Shao ◽  
Zhaoyou Chen ◽  
Lin Cheng
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Transfer Process ◽  
Numerical Solutions ◽  
Heat Transfer Process ◽  
Packed Beds

Design of the Blast Furnace Wall Structure Made of Efficient Materials. Part 4. Calculation Examples

2020 ◽  
Vol 786 (11) ◽  
pp. 30-34
Author(s):  
A.M. IBRAGIMOV ◽  
◽  
L.Yu. GNEDINA ◽  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Blast Furnace ◽  
Boundary Value Problems ◽  
Transfer Process ◽  
Rational Design ◽  
Boundary Value ◽  
Heat Transfer Process ◽  
Furnace Wall ◽  
Time Interval

This work is part of a series of articles under the general title The structural design of the blast furnace wall from efficient materials [1–3]. In part 1, Problem statement and calculation prerequisites, typical multilayer enclosing structures of a blast furnace are considered. The layers that make up these structures are described. The main attention is paid to the lining layer. The process of iron smelting and temperature conditions in the characteristic layers of the internal environment of the furnace is briefly described. Based on the theory of A.V. Lykov, the initial equations describing the interrelated transfer of heat and mass in a solid are analyzed in relation to the task – an adequate description of the processes for the purpose of further rational design of the multilayer enclosing structure of the blast furnace. A priori the enclosing structure is considered from a mathematical point of view as the unlimited plate. In part 2, Solving boundary value problems of heat transfer, boundary value problems of heat transfer in individual layers of a structure with different boundary conditions are considered, their solutions, which are basic when developing a mathematical model of a non-stationary heat transfer process in a multi-layer enclosing structure, are given. Part 3 presents a mathematical model of the heat transfer process in the enclosing structure and an algorithm for its implementation. The proposed mathematical model makes it possible to solve a large number of problems. Part 4 presents a number of examples of calculating the heat transfer process in a multilayer blast furnace enclosing structure. The results obtained correlate with the results obtained by other authors, this makes it possible to conclude that the new mathematical model is suitable for solving the problem of rational design of the enclosing structure, as well as to simulate situations that occur at any time interval of operation of the blast furnace enclosure.

scholarly journals Numerical Study on Heat Transfer Performance in Packed Bed

Energies ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 414 ◽  
Author(s):  
Shicheng Wang ◽  
Chenyi Xu ◽  
Wei Liu ◽  
Zhichun Liu
Keyword(s):  
Heat Transfer ◽  
Thermal Resistance ◽  
Transfer Process ◽  
Heat Transfer Performance ◽  
Numerical Study ◽  
Continuous Phase ◽  
Heat Transfer Process ◽  
Packed Beds ◽  
Transfer Performance ◽  
Entransy Dissipation

Packed beds are widely used in industries and it is of great significance to enhance the heat transfer between gas and solid states inside the bed. In this paper, numerical simulation method is adopted to investigate the heat transfer principle in the bed at particle scale, and to develop the direct enhanced heat transfer methods in packed beds. The gas is treated as continuous phase and solved by Computational Fluid Dynamics (CFD), while the particles are treated as discrete phase and solved by the Discrete Element Method (DEM); taking entransy dissipation to evaluate the heat transfer process. Considering the overall performance and entransy dissipation, the results show that, compared with the uniform particle size distribution, radial distribution of multiparticle size can effectively improve the heat transfer performance because it optimizes the velocity and temperature field, reduces the equivalent thermal resistance of convection heat transfer process, and the temperature of outlet gas increases significantly, which indicates the heat quality of the gas has been greatly improved. The increase in distribution thickness obviously enhances heat transfer performance without reducing the equivalent thermal resistance in the bed. The result is of great importance for guiding practical engineering applications.

The Research on the Heat Transfer Process of Low Temperature Hot Water Radiant Heating Phase Change Wallboard

2013 ◽  
Vol 800 ◽  
pp. 18-21
Author(s):  
Quan Ying Yan ◽  
Li Hang Yue ◽  
Ran Huo
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Low Temperature ◽  
Phase Change ◽  
Physical Model ◽  
Transfer Process ◽  
Heat Transfer Process ◽  
Hot Water ◽  
Radiant Heating ◽  
Heating Phase

In this paper, physical model and mathematical model of the hot water radiant heating phase change wallboard were built. The heat transfer process of wallboard was simulated to analyze different influencing factors and optimize the design of the hot water heating phase change wallboard. The research results can provide reference and basis to the optimization of low temperature hot water radiant heating phase change wallboard.

Modeling Cooling Process of High Temperature Sinter

2011 ◽  
Vol 71-78 ◽  
pp. 2411-2415 ◽  
Author(s):  
Guo Feng Lou ◽  
Zhi Wen ◽  
Xun Xiang Liu ◽  
Xin Zhang ◽  
Kun Chan Zheng ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
High Temperature ◽  
Transfer Process ◽  
Heat Transfer Process ◽  
Measured Data ◽  
Cooling Process ◽  
Temperature Sinter ◽  
High Temperature Sinter ◽  
Operation Parameters

In the paper, a 1-D unsteady mathematical model for the Gas-Solid heat transfer process of high temperature sinter has been developed, and is used to analyse the cooling process of high temperature sinter. A set of measured data is used to verify the modeling result. The agreement between the measured and the modeling is good. The effect of operation parameters on the cooling process of the annular cooler has been investigated.

scholarly journals A proposal method for reducing the order of general heat conduction equation

2018 ◽  
Vol 20 ◽  
pp. 02014
Author(s):  
Thanh-Phong Tran
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Transfer Process ◽  
Heat Conduction Equation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Heat Transfer Process ◽  
Unknown Parameters ◽  
Simulation Experiments ◽  
Three Dimensional Space

In the context of investigating methods dedicated to identifying unknown parameters of the system described by partial differential equations, particularly in the field of heat transfer, it has been realized that the heat transfer process in particular three-dimensional features is really complex and takes longer to calculate. Therefore, an equivalent mathematical model which is simpler proposed to reduce the calculation time and the costs of experimental activities. We observe that the mathematical models of the diffusion equation can be minimized in three-dimensional space into a similar two-dimensional pattern within certain limits did not change the physical properties of heat transfer process. A mathematical model and the numerical results of simulation experiments in order to prove effectiveness the proposed method will be presented in detail in this article.

Simultaneous Wicking-Convection Heat Transfer Process with Non-Newtonian Power-Law Fluid

2010 ◽  
Vol 297-301 ◽  
pp. 117-125
Author(s):  
Oscar Bautista ◽  
Federico Méndez ◽  
Eric Bautista
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Newtonian Fluid ◽  
Power Law ◽  
Transfer Process ◽  
Numerical Solutions ◽  
Heat Transfer Process ◽  
Dimensionless Temperature ◽  
Power Law Fluid ◽  
Temperature And Pressure

In this work, we have theoretically analyzed the heat convection process in a porous medium under the influence of spontaneous wicking of a non-Newtonian power-law fluid, trapped in a capillary element, considering the presence of a temperature gradient. The capillary element is represented by a porous medium which is initially found at temperature and pressure . Suddenly the lower part of the porous medium touches a reservoir with a non-Newtonian fluid with temperature and pressure . This contact between both phases, in turn causes spontaneously the wicking process. Using a one-dimensional formulation of the average conservation laws, we derive the corresponding nondimensional momentum and energy equations. The numerical solutions permit us to evaluate the position and velocity of the imbibitions front as well as the dimensionless temperature profiles and Nusselt number. The above results are shown by considering the physical influence of two nondimensional parameters: the ratio of the characteristic thermal time to the characteristic wicking time, , the ratio of the hydrostatic head of the imbibed fluid to the characteristic pressure difference between the wicking front and the dry zone of the porous medium, , and the power-law index, n, for the non-Newtonian fluid. The predictions show that the wicking and heat transfer process are strongly dependent on the above nondimensional parameters, indicating a clear deviation in comparison with and n = 1, that represents the classical Lucas-Washburn solution.

Sign in / Sign up

Export Citation Format

Share Document