Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
13th International Engine Congress 2026 | 24 + 25 February 2026

Meeting Place for the Powertrain and Sustainable Fuels Community

Take part as a speaker in the 13th International Engine Congress 2026, the Meeting Place for the Powertrain, and Sustainable Fuels Community for the exchange of experience. Submit a subject proposal online about our main subject areas: Passenger car engine technology, Commercial vehicle engine technology and Sustainable Fuels & Energy!
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2023 | OriginalPaper | Chapter

Solution of Population Balance Equation Using Homotopy Analysis Method

Authors : Prakrati Kushwah, Jitraj Saha

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The chapter delves into the application of the Homotopy Analysis Method (HAM) to solve the Population Balance Equation (PBE) for particle fragmentation, a critical process in fields ranging from astrophysics to chemical engineering. The PBE, represented as an integro-partial differential equation, models changes in particle properties due to particulate processes. The HAM, introduced by Liao in 1992, offers a flexible and convenient analytical method for solving complex real-life problems. The chapter provides a comprehensive overview of the HAM, its application to the fragmentation PBE, and its convergence analysis. Numerical examples are presented to illustrate the method's accuracy and efficiency, showcasing its potential as a powerful tool in mathematical modeling and scientific research.
AI Generated

This summary of the content was generated with the help of AI.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Oblivious Transfer Using Non-abelian Groups
next chapter Certain Properties and Their Volterra Integral Equation Associated with the Second Kind Chebyshev Matrix Polynomials in Two Variables
Literature
1.
Saha, J., Kumar, J.: The singular coagulation equation with multiple fragmentation. Z. fur Angew. Math. Phys. 66, 919–941 (2015)CrossRefMATH
2.
Ziff, R.: New solutions to the fragmentation equation. J. Phys. A. Math. Gen. 24, 2821 (1991)
3.
4.
Saha, J., Bück, A.: Improved accuracy and convergence analysis of finite volume methods for particle fragmentation models. Math. Methods Appl. Sci. 44, 1913–1930 (2021)CrossRefMATH
5.
Singh, R., Saha, J., Kumar, J.: Adomian decomposition method for solving fragmentation and aggregation population balance equations. J. Appl. Math. Comput. 48, 265–292 (2015)CrossRefMATH
6.
Liao, S.: Beyond perturbation Introduction to homotopy analysis mathod. CRC Press (2004)
Metadata
Title
Solution of Population Balance Equation Using Homotopy Analysis Method
Authors
Prakrati Kushwah
Jitraj Saha
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_4

Premium Partners

    Image Credits