Analytical Calculation of a Condenser Taking into Account the Longitudinal Thermal Conductivity of the Liquid Being Heated

IF 0.4 4区 工程技术 Q4 ENGINEERING, CHEMICAL
A. B. Golovanchikov, N. A. Prokhorenko, N. A. Merentsov
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引用次数: 0

Abstract—Using the differential equations of heat balance and heat transfer, taking into account the longitudinal thermal conductivity of the liquid being heated, mathematical modeling was performed for the numerical calculation of a shell-and-tube heat exchanger of the condenser–heater type, which required a thousand or more iterations for double numerical integration of a second-order inhomogeneous differential equation under special Danckwerts boundary conditions. It was shown that such complex numerical calculations can be replaced by an analytical calculation using a simple algebraic equation describing the dependence of the temperature of the liquid being heated in the tubes on their length.

考虑被加热液体纵向导热系数的冷凝器解析计算
摘要利用热平衡和传热的微分方程,考虑被加热液体的纵向导热系数,在特殊的Danckwerts边界条件下对二阶非齐次微分方程进行了一千多次迭代的二次数值积分,对冷凝器-加热器型管壳式换热器的数值计算进行了数学建模。结果表明,这种复杂的数值计算可以用一个简单的代数方程来代替,该方程描述了管内加热液体的温度与管道长度的关系。
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来源期刊
CiteScore
1.20
自引率
25.00%
发文量
70
审稿时长
24 months
期刊介绍: Theoretical Foundations of Chemical Engineering is a comprehensive journal covering all aspects of theoretical and applied research in chemical engineering, including transport phenomena; surface phenomena; processes of mixture separation; theory and methods of chemical reactor design; combined processes and multifunctional reactors; hydromechanic, thermal, diffusion, and chemical processes and apparatus, membrane processes and reactors; biotechnology; dispersed systems; nanotechnologies; process intensification; information modeling and analysis; energy- and resource-saving processes; environmentally clean processes and technologies.
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