A Mathematical Model for Air Atomization of Molten Slag Based on Integral Conservation Equations

Author(s):  
M. Meratian ◽  
A. Asgarian ◽  
A. Vadillo ◽  
K. Chattopadhyay ◽  
M. Barati
2017 ◽  
Vol 38 (4) ◽  
pp. 15-28 ◽  
Author(s):  
Małgorzata Sikora ◽  
Tadeusz Bohdal

Abstract Investigations of refrigerant condensation in pipe minichannels are very challenging and complicated issue. Due to the multitude of influences very important is mathematical and computer modeling. Its allows for performing calculations for many different refrigerants under different flow conditions. A large number of experimental results published in the literature allows for experimental verification of correctness of the models. In this work is presented a mathematical model for calculation of flow resistance during condensation of refrigerants in the pipe minichannel. The model was developed in environment based on conservation equations. The results of calculations were verified by authors own experimental investigations results.


2020 ◽  
pp. 12-21
Author(s):  
Полина Сергеевна Коваль ◽  
Константин Сергеевич Епифанов ◽  
Рустем Юсуфович Турна

It is advisable to use two-phase heat transfer circuits (TPC) on spacecraft with high heat release in thermal control systems (TCS). TPC has many advantages over single-phase heat transfer loops. In such circuits, heat is accumulated and transferred in the form of latent heat of vaporization. TPC can transfer a much larger amount of heat per unit mass flow rate, the temperature of objects can be maintained almost constant throughout the heat supply area and close to the saturation temperature. Besides, all heat transfer processes occurring during boiling are more intense than with conventional convective heat transfer. Therefore, the mass and dimensions of the TCS based on the TPC will be less than based on single-phase circuits. The thermally regulated pressure accumulator (HCA) is the most important element of the TPC. The article proposes a simplified two-temperature mathematical model for describing nonequilibrium heat-mass transfer processes in HCA under zero gravity. The mathematical model of the HCA is formed using the method of idealized elements. The authors detail the energy conservation equations for control volumes and thermal units, mass conservation equations, equations for heat fluxes and mass sweats. It allows you to quickly carry out the calculation and analyze an acceptable result for preliminary estimates. Previously, the authors published the work, which describes a detailed multi-temperature model that allows us to estimate the nonequilibrium in the liquid phase. A detailed model allows you to calculate almost any process in the HCA with fairly high accuracy, but the program is quite voluminous and the calculation takes a lot of time. Therefore, on the recommendation of the developers of the AMESim software package, the authors formed a simplified two-temperature nonequilibrium HCA model. The model is implemented in Fortran software and tested to establish a quasistationary regime and tested for thermal balance. Based on the data of a space experiment on heating HCA with ammonia, the estimated value of the convective component of heat transfer under zero gravity is estimated. This concept and model can be refined based on the actual design of the accumulator. For example, equations can be written for a cylindrical HCA, placing the heater on the surface of the housing or in the center, etc.


SPE Journal ◽  
2010 ◽  
Vol 15 (03) ◽  
pp. 805-811 ◽  
Author(s):  
Songyan Li ◽  
Zhaomin Li ◽  
Riyi Lin ◽  
Binfei Li

Summary Foam has proved to be effective and economical in underbalanced operations and is gaining wider applications in many areas. Foam fluid has low density and high blocking ability. It can effectively reduce leaking of fluid into formation in low-pressure wells, protecting the oil formation and improving sand-cleanout efficiency. According to energy-conservation equations, mass-conservation equations, and momentum-conservation equations, a mathematical model for sand cleanout with foam fluid was established that considers the heat transfer between foam in the annulus and foam in the tubing. The model was solved by numerical method. Distributions of foam temperature, foam density, foam quality, pressure, and foam velocity in the wellbore were obtained. Calculation results show that temperature distribution is affected greatly by thermal gradient. As the well depth increases, foam pressure and foam density increase and foam quality and velocity decrease. Foam velocity at the well bottomhole is the minimum. Friction pressure loss of foam is less than that of water at the same volume flow rate. Site applications show that sand cleanout with foam fluid can prevent fluid leakage effectively. It can avoid damage of sealing agents and reduce pollution. The average relative error and standard deviation between model and field data on injection pressure are–0.43 and 2.55%, respectively, which proves the validation of the mathematical model.


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

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