球形催化剂和生物催化剂非等温稳态R-D方程的半解析研究

Q2 Mathematics CFD Letters Pub Date : 2023-10-30 DOI:10.37934/cfdl.15.12.6076
None V. Vijayalakshmi, None V. Ananthaswamy, None J. Anantha Jothi
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引用次数: 0

摘要

Lane-Emden边值问题出现在化学应用、科学和生化应用中。应用ananthaswami - sivasankari方法(ASM)求解了两个具体模型。第一个问题的模型是球形催化剂的反应扩散方程,第二个问题的模型是球形生物催化剂的反应扩散过程。得到有效因子和浓度的可靠的半解析表达式。对得到的半解析解构造了一个图。用图形表示了无量纲活化能、Thiele模量和无量纲反应热等参数对反应的影响。用MATLAB将半解析解与数值模拟结果进行了比较,得到了各参数的良好拟合。新的解析方法ASM有助于求解以反应扩散方程为主的非线性问题。
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Semi- Analytical Study on Non-Isothermal Steady R-D Equation in a Spherical Catalyst and Biocatalyst
The Lane-Emden Boundary Value Problem as it appears in chemical applications, science, and biochemical applications are employed. Two specific models are solved by applying the Ananthaswamy-Sivasankari method (ASM). The model in first problem is a reaction–diffusion equation of a spherical catalyst and the model in second problem is the reaction–diffusion process of a spherical biocatalyst. Obtain a reliable semi-analytical expression of the effectiveness factors and the concentrations. A graph is constructed for the obtained semi-analytical solutions.The effects of several parameters like dimensionless activation energy, Thiele modulus and dimensionless heat of reaction are shown in graphical representation. Our semi-analytical solution is compared with numerical simulation by using MATLAB and finds good fit in all parameters. The new analytical method ASM is helpful to solve many non-linear problems mainly Reaction-Diffusion equation.
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来源期刊
CFD Letters
CFD Letters Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
3.40
自引率
0.00%
发文量
76
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