Maximum Spreading of Impacting Ferrofluid Droplets under the Effect of Nonuniform Magnetic Field

Qian-Ping Li; Yi Ouyang; Xiao-Dong Niu; Youhua Jiang; Ming-Fu Wen; Ze-Qin Li; Mu-Feng Chen; De-Cai Li; Hiroshi Yamaguchi

doi:10.1021/acs.langmuir.1c03272

Maximum Spreading of Impacting Ferrofluid Droplets under the Effect of Nonuniform Magnetic Field

Qian-Ping Li, Yi Ouyang, Xiao-Dong Niu, Youhua Jiang, Ming-Fu Wen, Ze-Qin Li, Mu-Feng Chen, De-Cai Li, Hiroshi Yamaguchi

Mechanical Engineering (Robotics)

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

9 Scopus citations

Abstract

This article investigates the maximum spreading of ferrofluid droplets impacting on a hydrophobic surface under nonuniform magnetic fields. A generalized model for scaling the maximum spreading is developed. It is observed that, if the magnetic field strength is zero, a ferrofluid droplet not only demonstrates similar spreading dynamics as the water droplet but also obeys the same scaling law for the maximum spreading factor. Therefore, this article emphasizes the effects of magnetic field strength. In this regard, a dimensionless parameter (Nm) is introduced as the ratio between inertial force and Kelvin force, with an assumption that the kinetic energy mainly transforms to thermal energy. This parameter allows us to rescale all experimental data on a single curve with the Padé approximant, which is applicable to a wide range of impact velocities and magnetic field strengths. © 2022 American Chemical Society.

Original language	English
Journal	Langmuir
DOIs	https://doi.org/10.1021/acs.langmuir.1c03272
State	Published - 18 Feb 2022

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title = "Maximum Spreading of Impacting Ferrofluid Droplets under the Effect of Nonuniform Magnetic Field",

abstract = "This article investigates the maximum spreading of ferrofluid droplets impacting on a hydrophobic surface under nonuniform magnetic fields. A generalized model for scaling the maximum spreading is developed. It is observed that, if the magnetic field strength is zero, a ferrofluid droplet not only demonstrates similar spreading dynamics as the water droplet but also obeys the same scaling law for the maximum spreading factor. Therefore, this article emphasizes the effects of magnetic field strength. In this regard, a dimensionless parameter (Nm) is introduced as the ratio between inertial force and Kelvin force, with an assumption that the kinetic energy mainly transforms to thermal energy. This parameter allows us to rescale all experimental data on a single curve with the Pad{\'e} approximant, which is applicable to a wide range of impact velocities and magnetic field strengths. {\textcopyright} 2022 American Chemical Society.",

author = "Qian-Ping Li and Yi Ouyang and Xiao-Dong Niu and Youhua Jiang and Ming-Fu Wen and Ze-Qin Li and Mu-Feng Chen and De-Cai Li and Hiroshi Yamaguchi",

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doi = "10.1021/acs.langmuir.1c03272",

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TY - JOUR

T1 - Maximum Spreading of Impacting Ferrofluid Droplets under the Effect of Nonuniform Magnetic Field

AU - Li, Qian-Ping

AU - Ouyang, Yi

AU - Niu, Xiao-Dong

AU - Jiang, Youhua

AU - Wen, Ming-Fu

AU - Li, Ze-Qin

AU - Chen, Mu-Feng

AU - Li, De-Cai

AU - Yamaguchi, Hiroshi

PY - 2022/2/18

Y1 - 2022/2/18

N2 - This article investigates the maximum spreading of ferrofluid droplets impacting on a hydrophobic surface under nonuniform magnetic fields. A generalized model for scaling the maximum spreading is developed. It is observed that, if the magnetic field strength is zero, a ferrofluid droplet not only demonstrates similar spreading dynamics as the water droplet but also obeys the same scaling law for the maximum spreading factor. Therefore, this article emphasizes the effects of magnetic field strength. In this regard, a dimensionless parameter (Nm) is introduced as the ratio between inertial force and Kelvin force, with an assumption that the kinetic energy mainly transforms to thermal energy. This parameter allows us to rescale all experimental data on a single curve with the Padé approximant, which is applicable to a wide range of impact velocities and magnetic field strengths. © 2022 American Chemical Society.

AB - This article investigates the maximum spreading of ferrofluid droplets impacting on a hydrophobic surface under nonuniform magnetic fields. A generalized model for scaling the maximum spreading is developed. It is observed that, if the magnetic field strength is zero, a ferrofluid droplet not only demonstrates similar spreading dynamics as the water droplet but also obeys the same scaling law for the maximum spreading factor. Therefore, this article emphasizes the effects of magnetic field strength. In this regard, a dimensionless parameter (Nm) is introduced as the ratio between inertial force and Kelvin force, with an assumption that the kinetic energy mainly transforms to thermal energy. This parameter allows us to rescale all experimental data on a single curve with the Padé approximant, which is applicable to a wide range of impact velocities and magnetic field strengths. © 2022 American Chemical Society.

U2 - 10.1021/acs.langmuir.1c03272

DO - 10.1021/acs.langmuir.1c03272

M3 - 文章

C2 - 35179906

SN - 0743-7463

JO - Langmuir

JF - Langmuir

ER -

Maximum Spreading of Impacting Ferrofluid Droplets under the Effect of Nonuniform Magnetic Field

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