Numerical Study of the Damped Oscillation of Liquid Column in U-Tube With Particle Method

Liang, Yongri; Xi, Guang; Sun, Zhongguo

doi:10.1115/1.4023944

Cited by 6 publications

(1 citation statement)

References 18 publications

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“…As magnetic fluid is fluid, studying its oscillatory movements requires the use of a system of pipes either fully or partially filled with magnetic fluid. For example, researchers place U-shaped tubes in an external magnetic field [ 153 , 154 , 155 , 156 , 157 , 158 ]. In [ 153 ], both experimental and theoretical studies of the elasticity coefficient of the system were conducted.…”

Section: Physical Properties and Structure Of Magnetic Fluidsmentioning

confidence: 99%

Magnetic Fluids: The Interaction between the Microstructure, Macroscopic Properties, and Dynamics under Different Combinations of External Influences

Ryapolov,

Vasilyeva,

Kalyuzhnaya

et al. 2024

Nanomaterials

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Magnetic fluids were historically the first active nano-dispersion material. Despite over half a century of research, interest in these nano-objects continues to grow every year. This is due to the impressive development of nanotechnology, the synthesis of nanoscale structures, and surface-active systems. The unique combination of fluidity and magnetic response allows magnetic fluids to be used in engineering devices and biomedical applications. In this review, experimental results and fundamental theoretical approaches are systematized to predict the micro- and macroscopic behavior of magnetic fluid systems under different external influences. The article serves as working material for both experienced scientists in the field of magnetic fluids and novice specialists who are just beginning to investigate this topic.

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Section: Physical Properties and Structure Of Magnetic Fluidsmentioning

confidence: 99%

Magnetic Fluids: The Interaction between the Microstructure, Macroscopic Properties, and Dynamics under Different Combinations of External Influences

Ryapolov,

Vasilyeva,

Kalyuzhnaya

et al. 2024

Nanomaterials

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A generalized mathematical model for the damped free motion of a liquid column in a vertical U-tube

Kannaiyan,

Sarno

et al. 2024

Physics of Fluids

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A one-dimensional mathematical model is developed to analyze the unsteady characteristics of arbitrary damped free motion, denoted as Z(τ), in a rigid, constant-diameter vertical column of a U-tube filled with an incompressible Newtonian liquid, where τ represents time. This model utilizes a simplified unsteady momentum equation derived from the Navier–Stokes equations in a circular coordinate system. Moreover, it incorporates assumptions about the periodicity of arbitrary damped free oscillations and employs the Fourier series representation to characterize the damped free motion. The combination of assumptions made for periodicity, the simplified momentum equation, and the Fourier series representation makes the current mathematical model unique and novel compared to prevailing models in the literature. In this model, the governing partial differential equation contains two dependent variables: Z(τ) is the known variable, as one can measure from experiments, and the instantaneous velocity uz is the unknown variable. Fitting the experimental data into the Fourier series provides the Fourier coefficients associated with the specific experiment. The Laplace transform method is used to determine the analytical solution for uz corresponding to the known Z(τ). The analytical expressions for instantaneous flow characteristics of practical importance, including area-averaged velocity, wall shear stress, and acceleration/deceleration, are deduced from uz. The analytical solutions presented are valid for generalized unsteady motions, including underdamped oscillations with varying amplitudes and periods, underdamped oscillations with varying amplitudes and constant period, and overdamped motion that does not exhibit a single oscillation. The findings from the present model offer insights for formulating a new friction model.

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Dynamics of Magnetic Fluid Cylinder in Inhomogeneous Magnetic Field

Shel’deshova

Polunin

Churaev

et al. 2021

J. Phys.: Conf. Ser.

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The dynamics of some magnetic fluid (MF) samples of various concentrations filling the tube horizontally and held by a field of a magnetic axial system made based on unipolar permanent rare-earth ring magnets were studied. The magnetic field of an “axial” magnetic system of MSO was studied, as well as the dependence of the system oscillation frequency on the length of the MF cylinder. An original method for determining MF magnetization is proposed and applied to the obtained data. Magnetization was determined for three magnetic fluid samples. The results obtained by the developed method are comparable to the magnetization values obtained by the ballistic method. The developed and presented technique of a dynamic experiment with measuring oscillations frequency of the “MF column suspended in a strong and inhomogeneous magnetic field” system involves the creation of a new absolute method for determining saturation magnetization and can be useful for studying magnetophoresis and aggregation processes of magnetic nanoparticles. This technique is used to study the degree of elastomagnetic consistency parameters over time.

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Numerical Study of the Damped Oscillation of Liquid Column in U-Tube With Particle Method

Cited by 6 publications

References 18 publications

Magnetic Fluids: The Interaction between the Microstructure, Macroscopic Properties, and Dynamics under Different Combinations of External Influences

Magnetic Fluids: The Interaction between the Microstructure, Macroscopic Properties, and Dynamics under Different Combinations of External Influences

A generalized mathematical model for the damped free motion of a liquid column in a vertical U-tube

Dynamics of Magnetic Fluid Cylinder in Inhomogeneous Magnetic Field

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