Commun. Comput. Phys., 16 (2014), pp. 892-912.


Investigations on the Droplet Impact onto a Spherical Surface with a High Density Ratio Multi-Relaxation Time Lattice-Boltzmann Model

Duo Zhang 1, K. Papadikis 2*, Sai Gu 3

1 Xi'an Jiaotong-Liverpool University, No. 111 Ren'ai Road, Suzhou Dushu Lake Higher Education Town, Suzhou, China 215123; School of Engineering, University of Liverpool, Brownlow Hill, Liverpool, L69 7ZX, United Kingdom.
2 Xi'an Jiaotong-Liverpool University, No. 111 Ren'ai Road, Suzhou Dushu Lake Higher Education Town, Suzhou, China 215123.
3 School of Engineering, Cranfield University, Bedfordshire MK43 0AL, United Kingdom.

Received 21 June 2013; Accepted (in revised version) 31 March 2014
Available online 24 July 2014
doi:10.4208/cicp.210613.310314a

Abstract

In the current study, a two-dimensional multi-relaxation time (MRT) lattice Boltzmann model which can tolerate high density ratios and low viscosity is employed to simulate the liquid droplet impact onto a curved target. The temporal variation of the film thickness at the north pole of the target surface is investigated. Three different temporal phases of the dynamics behavior, namely, the initial drop deformation phase, the inertia dominated phase and the viscosity dominated phase are reproduced and studied. The effect of the Reynolds number, Weber number and Galilei number on the film flow dynamics is investigated. In addition, the dynamic behavior of the droplet impact onto the side of the curved target is shown, and the effect of the contact angle, the Reynolds number and the Weber number are investigated.

AMS subject classifications: 76T10

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Key words: Multiphase flow, MRT Lattice Boltzmann, high-density-ratio, droplet impact, film thickness, dynamic behavior.

*Corresponding author.
Email: Konstantinos.Papadikis@xjtlu.edu.cn (K. Papadikis)
 

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