典型文献
Solution of Smoluchowski coagulation equation for Brownian motion with TEMOM
文献摘要：
The particle number density in the Smoluchowski coagulation equation usually cannot be solved as a whole,and it can be decomposed into the following two functions by similarity transformation:one is a function of time(the particle k-th moments),and the other is a function of dimensionless volume(self-preserving size distribution).In this paper,a simple iterative direct numerical simulation(iDNS)is proposed to obtain the similarity solution of the Smoluchowski coagulation equation for Brownian motion from the asymptotic solution of the k-th order moment,which has been solved with the Taylor-series expansion method of moment(TEMOM)in our previous work.The convergence and accuracy of the numerical method are first verified by comparison with previous results about Brownian coagulation in the literature,and then the method is extended to the field of Brownian agglomeration over the entire size range.The results show that the difference between the lognormal function and the self-preserving size distribution is significant.Moreover,the thermodynamic constraint of the algebraic mean volume is also investigated.In short,the asymptotic solution of the TEMOM and the self-preserving size distribution form a one-to-one mapping relationship;thus,a complete method to solve the Smoluchowski coagulation equation asvmptotically is established.
文献关键词：
中图分类号：
作者姓名：
Mingliang Xie;Qing He
作者机构：
State Key Laboratory of Coal Combustion,Huazhong University of Science and Technology,Wuhan 430074,China;Guangdong Provincial Key Laboratory of Distributed Energy Systems,School of Chemical Engineering and Energy Technology,Dongguan University of Technology,Dongguan 523808,China
文献出处：
引用格式：
[1]Mingliang Xie;Qing He-.Solution of Smoluchowski coagulation equation for Brownian motion with TEMOM)[J].颗粒学报（英文版）,2022(11):64-71
A类：
TEMOM,iDNS,asvmptotically
B类：
Solution,Smoluchowski,coagulation,equation,Brownian,motion,particle,number,density,usually,cannot,solved,whole,decomposed,into,following,two,functions,by,similarity,transformation,one,moments,other,dimensionless,volume,self,preserving,size,distribution,In,this,paper,simple,iterative,direct,numerical,simulation,proposed,obtain,solution,from,asymptotic,order,which,has,been,Taylor,series,expansion,method,our,previous,work,convergence,accuracy,are,first,verified,comparison,results,about,literature,then,extended,field,agglomeration,entire,range,show,that,difference,between,lognormal,significant,Moreover,thermodynamic,constraint,algebraic,mean,also,investigated,short,mapping,relationship,thus,complete,established
AB值：
0.462022
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