Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations

N Yadav, A Das, M Singh… - Proceedings of the …, 2023 - royalsocietypublishing.org
The exploration of collisional fragmentation pheno-mena remains largely unexplored, yet it
holds considerable importance in numerous engineering and physical processes. Given the …

Fragmentation with discontinuous Galerkin schemes: non-linear fragmentation

M Lombart, M Hutchison, YN Lee - Monthly Notices of the Royal …, 2022 - academic.oup.com
Small grains play an essential role in astrophysical processes such as chemistry, radiative
transfer, and gas/dust dynamics. The population of small grains is mainly maintained by the …

Development and analysis of moments preserving finite volume schemes for multi-variate nonlinear breakage model

A Das, J Paul, S Heinrich… - Proceedings of the …, 2023 - royalsocietypublishing.org
Modelling and simulation of collisional particle breakage mechanisms are crucial in several
physical phenomena (asteroid belts, molecular clouds, raindrop distribution etc.) and …

Moments preserving finite volume approximations for the non‐linear collisional fragmentation model

J Paul, A Das, J Kumar - Applied Mathematics and Computation, 2023 - Elsevier
We present the development of approximate numerical schemes to solve the non-linear
fragmentation model. Two numerical weighted finite volume techniques are presented …

Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation

A Das, P Kushwah, J Saha, M Singh - Applied Numerical Mathematics, 2024 - Elsevier
A new volume and number consistent finite volume scheme for the numerical solution of a
collisional nonlinear breakage problem is introduced. The number consistency is achieved …

A hybrid sectional moment projection method for discrete population balance dynamics involving inception, growth, coagulation and fragmentation

S Wu, S Yang, KL Tay, W Yang, M Jia - Chemical Engineering Science, 2022 - Elsevier
A new and efficient sectional method is developed and presented in this work. This new
method, namely hybrid sectional moment projection method, seeks to combine the …

An efficient multiscale bi-directional PBM-DEM coupling framework to simulate one-dimensional aggregation mechanisms

A Das, T De, G Kaur, M Dosta… - Proceedings of the …, 2022 - royalsocietypublishing.org
The mesoscale population balance modelling (PBM) technique is widely used in predicting
aggregation processes. The accuracy and efficiency of PBM depend on the formulation of its …

Population balance modeling of volume and time dependent spray fluidized bed aggregation kernel using Monte Carlo simulation results

A Das, J Kumar - Applied Mathematical Modelling, 2021 - Elsevier
This paper seeks to extend the work of Hussain et al.(A new framework for population
balance modeling of spray fluidized bed agglomeration, Particuology 19 (2015) 141–154) to …

[HTML][HTML] Coupled approach and its convergence analysis for aggregation and breakage models: Study of extended temporal behaviour

S Yadav, A Das, S Singh, S Tomar, R Singh, M Singh - Powder Technology, 2024 - Elsevier
Population balance equations (PBEs) play a significant role in describing the dynamics of
star formation in astrophysics, cheese manufacturing in dairy sciences, depolymerization in …

Multivariate population balance modeling and simulation of ultrasound-assisted crystallization of a plate-type pharmaceutical: Nucleation, growth, and breakage

A Maharana, A Das, J Kumar, D Sarkar - Computers & Chemical …, 2024 - Elsevier
The application of ultrasound is recently gaining significant interest in crystallization
because of its significant impact on nucleation and growth rates, particle breakage, crystal …