Dynamics of two-phase flow in vertical pipes

Ebrahimi-Mamaghani, Ali; Sotudeh‐Gharebagh, Rahmat; Zarghami, Reza; Mostoufi, Navid

doi:10.1016/j.jfluidstructs.2019.03.010

Cited by 73 publications

(13 citation statements)

References 37 publications

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“…Hence, the dimensionless governing equation of motion in the Laplace domain can be rewritten as: To discretize Equation (19), the transverse displacement of the nanobeam can be assumed as follows [50][51][52]:…”

Section: Numerical Proceduresmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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In this article, size-dependent vibrations and the stability of moving viscoelastic axially functionally graded (AFG) nanobeams were investigated numerically and analytically, aiming at the stability enhancement of translating nanosystems. Additionally, a parametric investigation is presented to elucidate the influence of various key factors such as axial gradation of the material, viscosity coefficient, and nonlocal parameter on the stability boundaries of the system. Material characteristics of the system vary smoothly along the axial direction based on a power-law distribution function. Laplace transformation in conjunction with the Galerkin discretization scheme was implemented to obtain the natural frequencies, dynamical configuration, divergence, and flutter instability thresholds of the system. Furthermore, the critical velocity of the system was evaluated analytically. Stability maps of the system were examined, and it can be concluded that the nonlocal effect in the system can be significantly dampened by fine-tuning of axial material distribution. It was demonstrated that AFG materials can profoundly enhance the stability and dynamical response of axially moving nanosystems in comparison to homogeneous materials. The results indicate that for low and high values of the nonlocal parameter, the power index plays an opposite role in the dynamical behavior of the system. Meanwhile, it was shown that the qualitative stability of axially moving nanobeams depends on the effect of viscoelastic properties in the system, while axial grading of material has a significant role in determining the critical velocity and natural frequencies of the system.

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Section: Numerical Proceduresmentioning

confidence: 99%

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

et al. 2020

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“…With the aim of discretizing the dynamic equation of the system, the lateral displacement of the beam is considered as [44][45][46]:…”

Section: Discretization Techniquementioning

confidence: 99%

Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters

et al. 2020

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In this article, vibration of viscoelastic axially functionally graded (AFG) moving Rayleigh and Euler-Bernoulli (EB) beams are investigated and compared, aiming at a performance improvement of translating systems. Additionally, a detailed study is performed to elucidate the influence of various factors, such as the rotary inertia factor and axial gradation of material on the stability borders of the system. The material properties of the beam are distributed linearly or exponentially in the longitudinal direction. The Galerkin procedure and eigenvalue analysis are adopted to acquire the natural frequencies, dynamic configuration, and instability thresholds of the system. Furthermore, an exact analytical expression for the critical velocity of the AFG moving Rayleigh beams is presented. The stability maps and critical velocity contours for various material distributions are examined. In the case of variable density and elastic modulus, it is demonstrated that linear and exponential distributions provide a more stable system, respectively. Furthermore, the results revealed that the decrease of density gradient parameter and the increase of the elastic modulus gradient parameter enhance the natural frequencies and enlarge the instability threshold of the system. Hence, the density and elastic modulus gradients play opposite roles in the dynamic behavior of the system.

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“…Later, Ebrahimi-Mamaghani et al [5] proposed a new mathematical model that takes into account dissipative effects for the two-phase flow dynamics. This model was further improved by Guo et al [9], to include thermal effects.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a pipe conveying a two-phase fluid considering uncertainties in the flow parameters

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2020

J Braz. Soc. Mech. Sci. Eng.

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Dynamics of two-phase flow in vertical pipes

Cited by 73 publications

References 37 publications

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

On the Vibrations and Stability of Moving Viscoelastic Axially Functionally Graded Nanobeams

Stability and Dynamics of Viscoelastic Moving Rayleigh Beams with an Asymmetrical Distribution of Material Parameters

Dynamic analysis of a pipe conveying a two-phase fluid considering uncertainties in the flow parameters

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