کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
598027 1454080 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adjustable discretized population balance equations: Numerical simulation and parameter estimation for fractal aggregation and break-up
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی شیمی کلوئیدی و سطحی
پیش نمایش صفحه اول مقاله
Adjustable discretized population balance equations: Numerical simulation and parameter estimation for fractal aggregation and break-up
چکیده انگلیسی

Improved adjustable discretized population balance equations (PBEs) are proposed in this study. The authors extended an improved particle coagulation model previously developed to an adjustable geometric size interval (q), where q is a volume ratio of class k + 1 particle to class k particle (υk+1/υk = q). This model was verified with the time derivative of the zero and first moments to show mass conservation and compared with previous analytical and numerical solutions. Also, the self-preserving distribution test was conducted by using size-independent and size-dependent kernels. After direct numerical simulations (DNS), the proposed model was found to have excellent agreement with the analytical and continuous numerical solutions. In addition, this proposed model was converted to a dimensionless form to enhance computational efficiency in order to be coupled with computational fluid dynamic solutions in the future. Furthermore, a parameter estimation scheme was created to computationally determine the two key parameters, the collision efficiency (α) and the break-up coefficient (KB), from orthokinetic experimental data. To verify the estimation procedure the fractal aggregate orthokinetic experimental data of Li and Zhang (a primary do of 2.8 μm in dia., Df of 2.0, a fluid strain-rate of 15 (1/s)) was used [X. Li, J. Zhang, Numerical simulation and experimental verification of particle coagulation dynamics for a pulsed input, J. Coll. Interf. Sci. 262 (2003) 149–161]. Considering fractal aggregation and break-up, two major parameters were found to be collision efficiency α of 0.3938 and aggregate break-up coefficient KB of 4.4105 using a parameter estimation scheme coupled with an improved discretized population balance equation. This parameter estimation scheme was able to compute the coefficients in the coagulation model rapidly, especially in particle systems having a fractal aggregate structure.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Colloids and Surfaces A: Physicochemical and Engineering Aspects - Volume 292, Issues 2–3, 15 January 2007, Pages 173–188
نویسندگان
, ,