Inverse Problems in Population Balances. Determination of Aggregation Kernel by Weighted Residuals

2015 ◽  
Vol 54 (42) ◽  
pp. 10530-10538 ◽  
Author(s):  
Jayanta Chakraborty ◽  
Jitendra Kumar ◽  
Mehakpreet Singh ◽  
Alan Mahoney ◽  
Doraiswami Ramkrishna
Author(s):  
A. Andrade-Campos

The use of optimization methods in engineering is increasing. Process and product optimization, inverse problems, shape optimization, and topology optimization are frequent problems both in industry and science communities. In this paper, an optimization framework for engineering inverse problems such as the parameter identification and the shape optimization problems is presented. It inherits the large experience gain in such problems by the SiDoLo code and adds the latest developments in direct search optimization algorithms. User subroutines in Sdl allow the program to be customized for particular applications. Several applications in parameter identification and shape optimization topics using Sdl Lab are presented. The use of commercial and non-commercial (in-house) Finite Element Method codes to evaluate the objective function can be achieved using the interfaces pre-developed in Sdl Lab. The shape optimization problem of the determination of the initial geometry of a blank on a deep drawing square cup problem is analysed and discussed. The main goal of this problem is to determine the optimum shape of the initial blank in order to save latter trimming operations and costs.


1995 ◽  
Vol 19 (4) ◽  
pp. 437-451 ◽  
Author(s):  
A.N. Sathyagal ◽  
D. Ramkrishna ◽  
G. Narsimhan

AIChE Journal ◽  
2002 ◽  
Vol 48 (5) ◽  
pp. 981-990 ◽  
Author(s):  
Alan W. Mahoney ◽  
Francis J. Doyle ◽  
Doraiswami Ramkrishna

2012 ◽  
Vol 15 (sup1) ◽  
pp. 27-29 ◽  
Author(s):  
R. Michel ◽  
V. Peschetola ◽  
B. Bedessem ◽  
J. Etienne ◽  
D. Ambrosi ◽  
...  

2020 ◽  
Vol 27 ◽  
pp. 166-176
Author(s):  
Jozef Kačur ◽  
Patrik Mihala

We are focused to the numerical modelling of heat, contaminant and water transport in unsaturated porous media in 3D. The heat exchange between water and porous media matrix is taken into the account. The determination of heat energy transmission coefficient and matrix heat conductivity is solved by means of inverse problem methods. The mathematical model represents the conservation of heat, contaminant and water mass balance. It is expressed by coupled non-linear system of parabolic-elliptic equations. Mathematical model for water transport in unsaturated porous media is represented by Richard's type equation. Heat transport by water includes water flux, molecular diffusion and dispersion. A successful experiment scenario is suggested to determine the required parameters including heat transmission and matrix heat conductivity coefficients. Additionally we investigate contaminant transport with heat transmission and contaminant adsorption. The obtained experiments support our method suitable for solution of direct and inverse problems. This problem we have discussed previously in 1D model, but preferential streamlines in 1D thin tubes shadow accurate results in determination of required parameters. In our presented setting we consider a cylindrical sample which is suitable in laboratory experiments for inverse problems.


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