When solving the complex radiative heat transfer problems in reheating furnaces, there are a number of difficulties with the traditional zonal methods. To circumvent these difficulties, a new simplified method was pro...When solving the complex radiative heat transfer problems in reheating furnaces, there are a number of difficulties with the traditional zonal methods. To circumvent these difficulties, a new simplified method was pro- posed, which employed imaginary planes, referred to as the imaginary plane model. With the new model, crown wall reduction process was simplified. Therefore, every model zone could be treated as a closed square cavity. It could also solve the problem of radiative blocking in industrial furnaces more effectively. Besides, the new imaginary plane based model may lead to a problem that the denominator was zero. This problem was solved by transforming the ex- pressions of reflex heat flux in the model. The model was capable of dealing with the systems that included black sur- faces. The model was validated by considering the heat transfer in a reheating furnace where the temperature fields in the furnace chamber （including the steel, wall and gas） were obtained. A detailed comparison was made between the simulation and the black box experiment. The results show that the new model developed was valid and accurate.展开更多
In this paper, the basic principles and mathematical process of the Second-order Imaginary Plane Method (IPM) for modeling the radiative heat transfer are analysed and proved in detail. Through the numerical computati...In this paper, the basic principles and mathematical process of the Second-order Imaginary Plane Method (IPM) for modeling the radiative heat transfer are analysed and proved in detail. Through the numerical computation for the real process of the radiative heat transfer using the Second-order IPM,the previous IPM (the first-order), the Analytic Method and the Zone Method, it was shown that the calculation accuracy of the Secondr-order IPM is much higher than that of the first-order IPM, and its demand to computer capacity and time consuming is much lower than that of the Zone Method or the Analytic Method. It is verilied that the method is more effective and has a higher accuracy for modeling radiative heat transfer in engineering.展开更多
An imaginary plane method for calculation of radiative heat trensfer and its application in the freeboard of AFBC boiler is presented in this paper. The combustion reaction and particle concentration are taken into ac...An imaginary plane method for calculation of radiative heat trensfer and its application in the freeboard of AFBC boiler is presented in this paper. The combustion reaction and particle concentration are taken into account in this method. With is method, one-dimensional freeboard model for radiative heat transfer has been made. Results from this model have been compared with the experimental results of a 130 t/h AFBC boiler. The distribution of flue gas temperature and heat flux at the waterwell are obtained. It is shown that this model has the advantage of good accuracy and requiring less computation time. The applicability of the predicted results in the AFBC boiler design and operation was also discussed.展开更多
Modified mathematical models based on imaginary plane zone method in reheating furnace were developed in which non-gray radiation properties of gas were considered,and the Newton＇s method and the finite difference me...Modified mathematical models based on imaginary plane zone method in reheating furnace were developed in which non-gray radiation properties of gas were considered,and the Newton＇s method and the finite difference method were adopted. Effects of productivity,fuel consumption,fuel-air ratio,calorific value of fuel and inserting depth of thermocouple on total heat exchange factor along the length of reheating furnace were investigated. The results show that total heat exchange factor increases with productivity or inserting depth of thermocouple,and it decreases when fuel consumption,fuel-air ratio or calorific value of fuel increases. The results are valuable for dynamical compensation of total heat exchange factor for online control mathematical models in reheating furnace.展开更多
基金Item Sponsored by National High Technology Research and Development Program(863Program)of China(2011AA060104)
文摘When solving the complex radiative heat transfer problems in reheating furnaces, there are a number of difficulties with the traditional zonal methods. To circumvent these difficulties, a new simplified method was pro- posed, which employed imaginary planes, referred to as the imaginary plane model. With the new model, crown wall reduction process was simplified. Therefore, every model zone could be treated as a closed square cavity. It could also solve the problem of radiative blocking in industrial furnaces more effectively. Besides, the new imaginary plane based model may lead to a problem that the denominator was zero. This problem was solved by transforming the ex- pressions of reflex heat flux in the model. The model was capable of dealing with the systems that included black sur- faces. The model was validated by considering the heat transfer in a reheating furnace where the temperature fields in the furnace chamber （including the steel, wall and gas） were obtained. A detailed comparison was made between the simulation and the black box experiment. The results show that the new model developed was valid and accurate.
文摘In this paper, the basic principles and mathematical process of the Second-order Imaginary Plane Method (IPM) for modeling the radiative heat transfer are analysed and proved in detail. Through the numerical computation for the real process of the radiative heat transfer using the Second-order IPM,the previous IPM (the first-order), the Analytic Method and the Zone Method, it was shown that the calculation accuracy of the Secondr-order IPM is much higher than that of the first-order IPM, and its demand to computer capacity and time consuming is much lower than that of the Zone Method or the Analytic Method. It is verilied that the method is more effective and has a higher accuracy for modeling radiative heat transfer in engineering.
文摘An imaginary plane method for calculation of radiative heat trensfer and its application in the freeboard of AFBC boiler is presented in this paper. The combustion reaction and particle concentration are taken into account in this method. With is method, one-dimensional freeboard model for radiative heat transfer has been made. Results from this model have been compared with the experimental results of a 130 t/h AFBC boiler. The distribution of flue gas temperature and heat flux at the waterwell are obtained. It is shown that this model has the advantage of good accuracy and requiring less computation time. The applicability of the predicted results in the AFBC boiler design and operation was also discussed.
基金Sponsored by National Basic Research Program of China (2006CB601203)
文摘Modified mathematical models based on imaginary plane zone method in reheating furnace were developed in which non-gray radiation properties of gas were considered,and the Newton＇s method and the finite difference method were adopted. Effects of productivity,fuel consumption,fuel-air ratio,calorific value of fuel and inserting depth of thermocouple on total heat exchange factor along the length of reheating furnace were investigated. The results show that total heat exchange factor increases with productivity or inserting depth of thermocouple,and it decreases when fuel consumption,fuel-air ratio or calorific value of fuel increases. The results are valuable for dynamical compensation of total heat exchange factor for online control mathematical models in reheating furnace.
