Retrieval of collision kernels from the change of droplet size distributions with linear inversion

Ryo Onishi; Keigo Matsuda; Keiko Takahashi; Ryoichi Kurose; Satoru Komori

doi:10.1299/kikaib.73.2062

Retrieval of collision kernels from the change of droplet size distributions with linear inversion

Ryo Onishi, Keigo Matsuda, Keiko Takahashi, Ryoichi Kurose, Satoru Komori

Research output: Contribution to journal › Article › peer-review

Abstract

We have developed a new simple inversion scheme for retrieving collision kernels from the change of droplet size distributions due to collision growth. Three-dimensional direct numerical simulations (DNS) of colliding droplets in an isotropic steady turbulence are performed in order to investigate the validity of the developed inversion scheme. In the DNS, air turbulence is calculated using a quasi-spectral method, and droplet motions are tracked by a Lagrange method. The initial droplet size distribution is set to be equivalent to that obtained in a wind tunnel experiment. Comparison between collision kernels retrieved by the developed inversion scheme and those obtained by DNS shows that the collision kernel can be retrieved within 15% error. This verifies the feasibility of retrieving collision kernels by using the present inversion scheme.

Original language	English
Pages (from-to)	2062-2069
Number of pages	8
Journal	Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume	73
Issue number	10
DOIs	https://doi.org/10.1299/kikaib.73.2062
Publication status	Published - 2007 Oct
Externally published	Yes

Keywords

Inverse problem
Multi phase flow
Particle collisions
Turbulent flow

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering

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Retrieval of collision kernels from the change of droplet size distributions with linear inversion. / Onishi, Ryo; Matsuda, Keigo; Takahashi, Keiko; Kurose, Ryoichi; Komori, Satoru.

In: Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 73, No. 10, 10.2007, p. 2062-2069.

Research output: Contribution to journal › Article › peer-review

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abstract = "We have developed a new simple inversion scheme for retrieving collision kernels from the change of droplet size distributions due to collision growth. Three-dimensional direct numerical simulations (DNS) of colliding droplets in an isotropic steady turbulence are performed in order to investigate the validity of the developed inversion scheme. In the DNS, air turbulence is calculated using a quasi-spectral method, and droplet motions are tracked by a Lagrange method. The initial droplet size distribution is set to be equivalent to that obtained in a wind tunnel experiment. Comparison between collision kernels retrieved by the developed inversion scheme and those obtained by DNS shows that the collision kernel can be retrieved within 15% error. This verifies the feasibility of retrieving collision kernels by using the present inversion scheme.",

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author = "Ryo Onishi and Keigo Matsuda and Keiko Takahashi and Ryoichi Kurose and Satoru Komori",

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AU - Matsuda, Keigo

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AU - Komori, Satoru

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N2 - We have developed a new simple inversion scheme for retrieving collision kernels from the change of droplet size distributions due to collision growth. Three-dimensional direct numerical simulations (DNS) of colliding droplets in an isotropic steady turbulence are performed in order to investigate the validity of the developed inversion scheme. In the DNS, air turbulence is calculated using a quasi-spectral method, and droplet motions are tracked by a Lagrange method. The initial droplet size distribution is set to be equivalent to that obtained in a wind tunnel experiment. Comparison between collision kernels retrieved by the developed inversion scheme and those obtained by DNS shows that the collision kernel can be retrieved within 15% error. This verifies the feasibility of retrieving collision kernels by using the present inversion scheme.

AB - We have developed a new simple inversion scheme for retrieving collision kernels from the change of droplet size distributions due to collision growth. Three-dimensional direct numerical simulations (DNS) of colliding droplets in an isotropic steady turbulence are performed in order to investigate the validity of the developed inversion scheme. In the DNS, air turbulence is calculated using a quasi-spectral method, and droplet motions are tracked by a Lagrange method. The initial droplet size distribution is set to be equivalent to that obtained in a wind tunnel experiment. Comparison between collision kernels retrieved by the developed inversion scheme and those obtained by DNS shows that the collision kernel can be retrieved within 15% error. This verifies the feasibility of retrieving collision kernels by using the present inversion scheme.

KW - Inverse problem

KW - Multi phase flow

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KW - Turbulent flow

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Retrieval of collision kernels from the change of droplet size distributions with linear inversion

Abstract

Keywords

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