Analytical study of unsteady sedimentation analysis of spherical particle in Newtonian fluid media

Author:

Fakour Mehdi1,Rahbari Alireza2,Moghadasi Hesam3,Rahimipetroudi Iman1,Domairry-Ganji Davood4,Varmazyar Mostafa5

Affiliation:

1. Islamic Azad University, Young Researchers and Elites Club, Sari Branch, Sari, Iran

2. Shahid Rajaee Teacher Training University, Department of Mechanical Engineering, Tehran, Iran + The Australian National University, Research School of Engineering, Canberra, Australia

3. Iran University of Science and Technology (IUST), School of Mechanical Engineering, Combustion Research Laboratory, Tehran, Iran

4. Islamic Azad University, Sari Branch, Department of Mechanical Engineering, Sari, Iran

5. Shahid Rajaee Teacher Training University, Department of Mechanical Engineering, Tehran, Iran

Abstract

Unsteady settling behavior of solid spherical particles falling in water as a Newtonian fluid is investigated in this research. Least square method (LSM), Galerkin method, LSM-Pad?, and numerical model are applied to analyze the characteristics of the particles motion. The influence of physical parameters on terminal velocity is discussed and it is showed that LSM and Galerkin method are efficient techniques for solving the governing equation. Among these methods, LSM-Pad? demonstrates the best agreement with numerical results. The novelty of this work is to introduce new analytical methods for solving the non-linear equation of sedimentation applicable in many industrial and chemical applications.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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