Abstract




 
   

IJE TRANSACTIONS B: Applications Vol. 19, No. 1 (December 2006) 23-34   

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  CAN THE HISTORY FORCE BE NEGLECTED FOR THE MOTION OF PARTICLES AT HIGH SUBCRITICAL REYNOLDS NUMBER RANGE?
 
Mohammad Rostami* and Abdullah Ardeshir

Department of Civil and Environmental Engineering, Amir Kabir University of Technology
Tehran, I. R. of Iran, m_rostami@aut.ac.ir – aadeshir53@yahoo.com

Goodarz Ahmadi

Department of Mechanical and Aeronautical Engineering, Clarkson University
Potsdam, NY, USA, ahmadi@clarkson.edu

Peter Joerg Thomas

Department of Engineering, University of Warwick, Coventry, UK
Eddy.decay@eng.warwick.ac.uk

*Corresponding Author

 
( Received: May 31, 2006 – Accepted in Revised Form: November 02, 2006 )
 
 

Abstract    In the present work, the motion of metallic and plastic particles of 5 mm diameter falling in a quiescent fluid is investigated experimentally. The goal of this investigation is to examine the effect of history force acting on a particle in a range of Reynolds numbers between 1000 and 5000. The instantaneous position of the particle was recorded using a high - speed camera (500 to 1000 frames per second). The comparison is made by solving the equation of motion of particle with and without history force based on the Lagrangian approach. The results showed that the combination of gravity, drag and added mass forces are important for simulation of particle motion from the starting point of motion to the wall impact in the range of aforementioned Reynolds numbers. Nevertheless, the predicted trajectories underestimate the experimental observations. In this case, excellent agreement between the measured and predicted particle trajectory was obtained when the history force was included in the governing equation. Analysis of the results showed, however, the history force in comparison with the other hydrodynamic forces in prediction of the particle motion, from the starting point of motion to the wall impact has a small effect which is about 1 to 4.3 % and can be ignored. But it has a considerable effect on the bouncing motion of the particle after the first collision, even for the Reynolds numbers up to 5000.

 

Keywords    Lagragian Approach, Drag Force, Added Mass Force, History Force, Bouncing Motion.

 

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