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Zeitschriftenartikel zum Thema „Effort inertiel du fluide“

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Veröffentlicht am 24. Mai 2025

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1

Zhao, Wu, Quan Bin Zhang, Wei Tao Jia, and Zhan Qi Hu. "Influence on BTA Boring Bar Transverse Vibration Considering Inner Cutting Fluid Velocity and Axial Force." Advanced Materials Research 887-888 (February 2014): 1215–18. http://dx.doi.org/10.4028/www.scientific.net/amr.887-888.1215.

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A new simulation model on frequency is proposed, to analyze mutual relationship between intrinsic frequency and other factors in system. The study is mainly focused on the axial press effect, inner cutting fluid velocity and its Coriolis inertia effects acting on boring bar. The whole system is assumed to conform to the continuous equal span beam model synthesized with liquid-solid coupling vibration model inner the work and Timoshenko beam model outer the work. Simulations show that system vibration frequency is determined by mechanical properties, axial force, inner cutting fluid velocity an

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Kim, Uihwan, Joo-Yong Kwon, Taehoon Kim, and Younghak Cho. "Particle Focusing in a Straight Microchannel with Non-Rectangular Cross-Section." Micromachines 13, no. 2 (2022): 151. http://dx.doi.org/10.3390/mi13020151.

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Recently, studies on particle behavior under Newtonian and non-Newtonian fluids in microchannel have attracted considerable attention because particles and cells of interest can be manipulated and separated from biological samples without any external force. In this paper, two kinds of microchannels with non-rectangular cross-section were fabricated using basic MEMS processes (photolithography, reactive ion etching and anisotropy wet etching), plasma bonding and self-alignment between two PDMS structures. They were used to achieve the experiments for inertial and elasto-inertial particle focus

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Kwon, Joo-Yong, Taehoon Kim, Jungwoo Kim, and Younghak Cho. "Particle Focusing under Newtonian and Viscoelastic Flow in a Straight Rhombic Microchannel." Micromachines 11, no. 11 (2020): 998. http://dx.doi.org/10.3390/mi11110998.

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Particle behavior in viscoelastic fluids has attracted considerable attention in recent years. In viscoelastic fluids, as opposed to Newtonian fluids, particle focusing can be simply realized in a microchannel without any external forces or complex structures. In this study, a polydimethylsiloxane (PDMS) microchannel with a rhombic cross-sectional shape was fabricated to experimentally investigate the behavior of inertial and elasto-inertial particles. Particle migration and behavior in Newtonian and non-Newtonian fluids were compared with respect to the flow rate and particle size to investig

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Li, Gaojin, Gareth H. McKinley, and Arezoo M. Ardekani. "Dynamics of particle migration in channel flow of viscoelastic fluids." Journal of Fluid Mechanics 785 (November 23, 2015): 486–505. http://dx.doi.org/10.1017/jfm.2015.619.

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The migration of a sphere in the pressure-driven channel flow of a viscoelastic fluid is studied numerically. The effects of inertia, elasticity, shear-thinning viscosity, secondary flows and the blockage ratio are considered by conducting fully resolved direct numerical simulations over a wide range of parameters. In a Newtonian fluid in the presence of inertial effects, the particle moves away from the channel centreline. The elastic effects, however, drive the particle towards the channel centreline. The equilibrium position depends on the interplay between the elastic and inertial effects.

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Mei, Renwei, and Ronald J. Adrian. "Effect of Reynolds Number on Isotropic Turbulent Dispersion." Journal of Fluids Engineering 117, no. 3 (1995): 402–9. http://dx.doi.org/10.1115/1.2817276.

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The influence of the spatio-temporal structure of isotropic turbulence on the dispersion of fluid and particles with inertia is investigated. The spatial structure is represented by an extended von Ka´rma´n energy spectrum model which includes an inertial sub-range and allows evaluation of the effect of the turbulence Reynolds number, Reλ. Dispersion of fluid is analyzed using four different models for the Eulerian temporal auto-correlation function D(τ). The fluid diffusivity, normalized by the integral length scale L11 and the root-mean-square turbulent velocity u0, depends on Reλ. The param

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Jayaram, Rohith, Yucheng Jie, Lihao Zhao, and Helge I. Andersson. "Dynamics of inertial spheroids in a decaying Taylor–Green vortex flow." Physics of Fluids 35, no. 3 (2023): 033326. http://dx.doi.org/10.1063/5.0138125.

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Inertial spheroids, prolates and oblates, are studied in a decaying Taylor–Green vortex (TGV) flow, wherein the flow gradually evolves from laminar anisotropic large-scale structures to turbulence-like isotropic Kolmogorov-type vortices. Along with particle clustering and its mechanisms, preferential rotation and alignment of the spheroids with the local fluid vorticity are examined. Particle inertia is classified by a nominal Stokes number [Formula: see text] which to first-order aims to eliminate the shape effect. The clustering varies with time and peaks when the physically relevant flow an

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Salazar, Juan P. L. C., and Lance R. Collins. "Inertial particle relative velocity statistics in homogeneous isotropic turbulence." Journal of Fluid Mechanics 696 (March 5, 2012): 45–66. http://dx.doi.org/10.1017/jfm.2012.2.

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AbstractIn the present study, we investigate the scaling of relative velocity structure functions, of order two and higher, for inertial particles, both in the dissipation range and the inertial subrange using direct numerical simulations (DNS). Within the inertial subrange our findings show that contrary to the well-known attenuation in the tails of the one-point acceleration probability density function (p.d.f.) with increasing inertia (Bec et al., J. Fluid Mech., vol. 550, 2006, pp. 349–358), the opposite occurs with the velocity structure function at sufficiently large Stokes numbers. We o

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Meng, Fan-Ming, Sheng Yang, Zhi-Tao Cheng, Yong Zheng, and Bin Wang. "Effect of fluid inertia force on thermal elastohydrodynamic lubrication of elliptic contact." Mechanics & Industry 22 (2021): 13. http://dx.doi.org/10.1051/meca/2021010.

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A non-Newtonian thermal elastohydrodynamic lubrication (TEHL) model for the elliptic contact is established, into which the inertia forces of the lubricant is incorporated. In doing so, the film pressure and film temperature are solved using the associated equations. Meanwhile, the elastic deformation is calculated with the discrete convolution and fast Fourier transform (DC-FFT) method. A film thickness experiment is conducted to validate the TEHL model considering the inertia forces. Further, effects of the inertia forces on the TEHL performances are studied at different operation conditions

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Блинков, Юрий Анатольевич, Лев Ильич Могилевич, Виктор Сергеевич Попов, and Елизавета Викторовна Попова. "Evolution of solitary hydroelastic strain waves in two coaxial cylindrical shells with the Schamel physical nonlinearity." Computational Continuum Mechanics 16, no. 4 (2023): 430–44. http://dx.doi.org/10.7242/1999-6691/2023.16.4.36.

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The paper considers the formulation and solution of the hydroelasticity problem for studying wave processes in the system of two coaxial shells containing fluids in the annular gap between them and in the inner shell. We investigate the axisymmetric case for Kirchhoff–Lave type shells whose material obeys a physical law with a fractional exponent of the nonlinear term (Schamel nonlinearity). The dynamics of fluids in the shells is considered within the framework of the incompressible viscous Newtonian fluid model. The derivation of the Schamel nonlinear equations of shell dynamics makes it pos

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Behera, Nalinikanta, Shubhadeep Mandal, and Suman Chakraborty. "Electrohydrodynamic settling of drop in uniform electric field: beyond Stokes flow regime." Journal of Fluid Mechanics 881 (October 24, 2019): 498–523. http://dx.doi.org/10.1017/jfm.2019.744.

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The electrohydrodynamics of a weakly conducting buoyant drop under the combined influence of gravity and a uniform electric field is studied computationally, focusing on the inertia-dominated regime. Numerical simulations are performed for both perfectly dielectric and leaky dielectric drops over a wide range of dimensionless parameters to explore the interplay of fluid inertia and electrical stress to govern the drop shape and charge convection. For perfectly dielectric drops, the fluid inertia alters the drop shape and the deformation behaviour of the drop follows a non-monotonic path. The d

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Hazel, Andrew L., and Matthias Heil. "Finite-Reynolds-Number Effects in Steady, Three-Dimensional Airway Reopening." Journal of Biomechanical Engineering 128, no. 4 (2006): 573–78. http://dx.doi.org/10.1115/1.2206203.

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Motivated by the physiological problem of pulmonary airway reopening, we study the steady propagation of an air finger into a buckled elastic tube, initially filled with viscous fluid. The system is modeled using geometrically non-linear, Kirchhoff-Love shell theory, coupled to the free-surface Navier-Stokes equations. The resulting three-dimensional, fluid-structure-interaction problem is solved numerically by a fully coupled finite element method. Our study focuses on the effects of fluid inertia, which has been neglected in most previous studies. The importance of inertial forces is charact

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Zandi Pour, Hamid Reza, and Michele Iovieno. "The Role of Particle Inertia and Thermal Inertia in Heat Transfer in a Non-Isothermal Particle-Laden Turbulent Flow." Fluids 9, no. 1 (2024): 29. http://dx.doi.org/10.3390/fluids9010029.

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We present an analysis of the effect of particle inertia and thermal inertia on the heat transfer in a turbulent shearless flow, where an inhomogeneous passive temperature field is advected along with inertial point particles by a homogeneous isotropic velocity field. Eulerian–Lagrangian direct numerical simulations are carried out in both one- and two-way coupling regimes and analyzed through single-point statistics. The role of particle inertia and thermal inertia is discussed by introducing a new decomposition of particle second-order moments in terms of correlations involving Lagrangian ac

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Ji, Bingyu, Yingfu He, Yongqiang Tang, and Shu Yang. "Inertial property of oscillatory flow for pulse injection in porous media." Energy Exploration & Exploitation 39, no. 4 (2021): 1184–94. http://dx.doi.org/10.1177/0144598721999786.

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The low-frequency pulse wave makes the velocity of the fluid in the reservoir fluctuate dramatically, which results in a remarkable inertia force. The Darcy’s law was inapplicable to the pulse flow with strong effect of inertial force. In this paper, the non-Darcy flow equation and the calculation method of capillary number of pressure pulse displacement are established. The pressure pulse experiments of single-phase and two- phase flow are carried out. The results show that the periodic change of velocity can decrease the seepage resistance and enhance apparent permeability by generating the

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LAVEZZO, V., A. SOLDATI, S. GERASHCHENKO, Z. WARHAFT, and L. R. COLLINS. "On the role of gravity and shear on inertial particle accelerations in near-wall turbulence." Journal of Fluid Mechanics 658 (June 15, 2010): 229–46. http://dx.doi.org/10.1017/s0022112010001655.

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Recent experiments in a turbulent boundary layer by Gerashchenko et al. (J. Fluid Mech., vol. 617, 2008, pp. 255–281) showed that the variance of inertial particle accelerations in the near-wall region increased with increasing particle inertia, contrary to the trend found in homogeneous and isotropic turbulence. This behaviour was attributed to the non-trivial interaction of the inertial particles with both the mean shear and gravity. To investigate this issue, we perform direct numerical simulations of channel flow with suspended inertial particles that are tracked in the Lagrangian frame of

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Marath, Navaneeth K., and Ganesh Subramanian. "The effect of inertia on the time period of rotation of an anisotropic particle in simple shear flow." Journal of Fluid Mechanics 830 (September 29, 2017): 165–210. http://dx.doi.org/10.1017/jfm.2017.534.

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We calculate the leading-order correction to the time period of rotation of a neutrally buoyant spheroid of arbitrary aspect ratio, in a simple shear flow ($\boldsymbol{u}^{\infty }=\dot{\unicode[STIX]{x1D6FE}}y\mathbf{1}_{1}$; $\mathbf{1}_{1}$ is the unit vector in the flow direction, $y$ being the coordinate along the gradient direction), in its long-time orbit set up by the weak fluid inertial drift at $O(Re)$. Here, $Re$ is the microscale Reynolds number, a dimensionless measure of the fluid inertial effects on the length scale of the spheroid, and is defined as $Re=\dot{\unicode[STIX]{x1D

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Wang, Yueying, Jun Yao, and Zhaoqin Huang. "Parameter Effect Analysis of Non-Darcy Flow and a Method for Choosing a Fluid Flow Equation in Fractured Karstic Carbonate Reservoirs." Energies 15, no. 10 (2022): 3623. http://dx.doi.org/10.3390/en15103623.

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Fractured karstic carbonate reservoirs have obvious multi-scale characteristics and severe heterogeneity due to the development of abundant karst caves and fractures with different scales. Darcy and non-Darcy flows coexist due to this property. Therefore, selecting the appropriate flow equations for different regions in the numerical simulation of fluid flows, particularly two-phase and multiphase flows, is a critical topic. This paper compares and analyses the displacement distance differences of waterfront travel using the Darcy, Forchheimer and Barree–Conway equations, as well as analyzes t

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Ren, Hong, Fan Chun Li, and Tian Yu Zhao. "Modal Analysis of Marine Propeller Submerged in Fluid." Advanced Materials Research 1030-1032 (September 2014): 1201–5. http://dx.doi.org/10.4028/www.scientific.net/amr.1030-1032.1201.

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The present work is aimed to free vibration characteristics of marine propeller in fluid, and analyze the influence of fluid inertial effect on propeller. The fully coupled three dimensional finite element method is applied, and the commercial finite element code, ANSYS WORKBENCH, has been used to perform modal analysis for both wet and dry configurations via fluid-structure interaction APDL commands for secondary development. On this basis, analyze a marine propeller in air and in fluid with finite element analysis, then the differences of natural vibration frequencies and vibration modes of

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18

Singh, Udaya, Ram Gupta, and Vijay Kapur. "Effects of inertia in the steady state pressurised flow of a non-Newtonian fluid between two curvilinear surfaces of revolution: Rabinowitsch fluid model." Chemical and Process Engineering 32, no. 4 (2011): 333–49. http://dx.doi.org/10.2478/v10176-011-0027-1.

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Effects of inertia in the steady state pressurised flow of a non-Newtonian fluid between two curvilinear surfaces of revolution: Rabinowitsch fluid modelIn many practical situations fluids are normally blended with additives (viscosity index improvers, viscosity thickeners, viscosity thinners) due to which they show pseudoplastic and dilatant nature which can be modelled as cubic stress model (Rabinowitsch model). The cubic stress model for pseudoplastic fluids is adopted because Wada and Hayashi have shown that the theoretical results with this model are in good agreement with the experimenta

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Walicka, A., and J. Falicki. "Inertia Effects in the Flow of a Herschel-Bulkley ERF between Fixed Surfaces of Revolution." Smart Materials Research 2013 (July 24, 2013): 1–10. http://dx.doi.org/10.1155/2013/171456.

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Many electrorheological fluids (ERFs) as fluids with microstructure demonstrate viscoplastic behaviours. Rheometric measurements indicate that some flows of these fluids may be modelled as the flows of a Herschel-Bulkley fluid. In this paper, the flow of a Herschel-Bulkley ER fluid—with a fractional power-law exponent—in a narrow clearance between two fixed surfaces of revolution with common axis of symmetry is considered. The flow is externally pressurized, and it is considered with inertia effect. In order to solve this problem, the boundary layer equations are used. The influence of inertia

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Walicka, A., and J. Falicki. "Reynolds Number Effects in the Flow of a Vočadlo Electrorheological Fluid in a Curved Gap." International Journal of Applied Mechanics and Engineering 22, no. 3 (2017): 675–95. http://dx.doi.org/10.1515/ijame-2017-0043.

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AbstractMany electrorheological fluids (ERFs) as fluids with micro-structure demonstrate a non-Newtonian behaviour. Rheometric measurements indicate that some flows of these fluids may by modelled as the flows of a Vočadlo ER fluid. In this paper, the flow of a Vočadlo fluid – with a fractional index of non-linearity – in a narrow gap between two fixed surfaces of revolution with a common axis of symmetry is considered. The flow is externally pressurized and it is considered with inertia effect. In order to solve this problem the boundary layer equations are used. The Reynolds number effects (

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Misbah, Chaouqi. "Soft suspensions: inertia cooperates with flexibility." Journal of Fluid Mechanics 760 (October 30, 2014): 1–4. http://dx.doi.org/10.1017/jfm.2014.443.

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AbstractCross-streamline migration of soft particles in suspensions is essential for cell and DNA sorting, blood flow, polymer processing and so on. Pioneering work by Poiseuille on blood flow in vivo revealed an erythrocyte-free layer close to blood vessel walls. The formation of this layer is related to a viscous lift force caused by cell deformation that pushes cells towards the centre of blood capillaries. This lift force has in this case a strong impact on blood flow. In contrast, rigid spherical particles migrate from the centre towards the periphery, owing to inertia (the Segré–Silberbe

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Dabade, Vivekanand, Navaneeth K. Marath, and Ganesh Subramanian. "The effect of inertia on the orientation dynamics of anisotropic particles in simple shear flow." Journal of Fluid Mechanics 791 (February 24, 2016): 631–703. http://dx.doi.org/10.1017/jfm.2016.14.

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It is well known that, under inertialess conditions, the orientation vector of a torque-free neutrally buoyant spheroid in an ambient simple shear flow rotates along so-called Jeffery orbits, a one-parameter family of closed orbits on the unit sphere centred around the direction of the ambient vorticity (Jeffery, Proc. R. Soc. Lond. A, vol. 102, 1922, pp. 161–179). We characterize analytically the irreversible drift in the orientation of such torque-free spheroidal particles of an arbitrary aspect ratio, across Jeffery orbits, that arises due to weak inertial effects. The analysis is valid in

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Yuan, Chao, Hong-Na Zhang, Yu-Ke Li, Xiao-Bin Li, Jian Wu, and Feng-Chen Li. "Nonlinear effects of viscoelastic fluid flows and applications in microfluidics: A review." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 22 (2020): 4390–414. http://dx.doi.org/10.1177/0954406220922863.

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Viscoelastic fluid naturally has both viscous and elastic properties. Therefore, there are two sources of nonlinear effects, namely inertial and elastic nonlinearities. The existence of elastic nonlinearity brings about various interesting flow phenomena in viscoelastic fluid flow, especially in microfluidics where the inertial nonlinearity can be negligible while the elastic nonlinearity can dominate the flow. Specifically, purely elasticity-induced instability and turbulence can occur in microchannels when the elastic nonlinearity is strong enough. Recently, those intriguing properties of vi

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Chen, Xiaoming, Yuchuan Zhu, Travis Wiens, Doug Bitner, and Jie Ling. "Characteristic investigation of a flow-dependent inertia hydraulic converter driven by an equivalent fast switching valve." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236, no. 7 (2022): 3354–74. http://dx.doi.org/10.1177/09544062211038983.

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To acquire a linear load pressure with the potential of energy-saving compared with conventional throttling hydraulic systems, a switched hydraulic circuit (referred to as a flow-dependent inertia hydraulic converter) featuring a flow-dependent inertial effect was proposed. In this device, the flowing fluid modulated by an equivalent fast switching valve allows the fluid inertance at the connection pipe and rotation inertia incorporated in the flywheel to be combined. The theoretical and simulation models of the flow-dependent inertia hydraulic converter were established, and then the flow-dep

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Huang, Shujuan, Diana-Andra Borca-Tasciuc, and John A. Tichy. "A simple expression for fluid inertia force acting on micro-plates undergoing squeeze film damping." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2126 (2010): 522–36. http://dx.doi.org/10.1098/rspa.2010.0216.

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Squeeze film damping in systems employing micro-plates parallel to a substrate and undergoing small normal vibrations is theoretically investigated. In high-density fluids, inertia forces may play a significant role affecting the dynamic response of such systems. Previous models of squeeze film damping taking inertia into account do not clearly isolate this effect from viscous damping. Therefore, currently, there is no simple way to distinguish between these two hydrodynamic effects. This paper presents a simple solution for the hydrodynamic force acting on a plate vibrating in an incompressib

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Annapurna T, K.S.R. Sridhar, and M Karuna Prasad. "Effect of Different Shapes of Nanoparticles on Mixed Convective Nanofluid Flow in a Darcy-Forchhiemer Porous Medium." CFD Letters 16, no. 12 (2024): 38–58. http://dx.doi.org/10.37934/cfdl.16.12.3858.

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The nanofluid has diverse applications in industries, engineering, and medicine due to its greater thermal characteristics. However, various factors such as the shape and size of nanoparticles, the base fluid, the porous medium, the quadratic drag force, and the viscous dissipation have significant effects on the flow and heat transfer characteristics of nanofluids. Therefore, it is crucial to study the influence of these factors. In this paper, a theoretical investigation is conducted to analyze the mechanisms of thermal conductivities of different shapes of nanoparticles, such as platelet, c

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Hormozi, S., and I. A. Frigaard. "Dispersion of solids in fracturing flows of yield stress fluids." Journal of Fluid Mechanics 830 (September 29, 2017): 93–137. http://dx.doi.org/10.1017/jfm.2017.465.

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Solids dispersion is an important part of hydraulic fracturing, both in helping to understand phenomena such as tip screen-out and spreading of the pad, and in new process variations such as cyclic pumping of proppant. Whereas many frac fluids have low viscosity, e.g. slickwater, others transport proppant through increased viscosity. In this context, one method for influencing both dispersion and solids-carrying capacity is to use a yield stress fluid as the frac fluid. We propose a model framework for this scenario and analyse one of the simplifications. A key effect of including a yield stre

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Ravichandran, S., and Rama Govindarajan. "Vortex-dipole collapse induced by droplet inertia and phase change." Journal of Fluid Mechanics 832 (October 26, 2017): 745–76. http://dx.doi.org/10.1017/jfm.2017.677.

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Droplet-laden flows with phase change are common. This study brings to light a mechanism by which droplet inertial dynamics and local phase change, taking place at sub-Kolmogorov scales, affect vortex dynamics in the inertial range of turbulence. To do this we consider vortices placed in a supersaturated ambient initially at constant temperature, homogeneous vapour concentration and uniformly distributed droplets. The droplets also act as sites of phase change. This allows the time scales associated with particle inertia and phase change, which could be significantly different from each other

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San Andre´s, Luis. "Turbulent Hybrid Bearings With Fluid Inertia Effects." Journal of Tribology 112, no. 4 (1990): 699–707. http://dx.doi.org/10.1115/1.2920318.

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High speed hybrid bearings for cryogenic applications demand large levels of external pressurization to provide substantial load capacity. These conditions give rise to large film Reynolds numbers, and thus, cause the fluid flow within the bearing film to be turbulent and dominated by fluid inertia effects both at the recess edges and at the thin film lands. The analysis includes the effect of recess fluid compressibility and a model for the pressure rise within the recess region. Flow turbulence is simulated by friction factors dependent on the local Reynolds numbers and surface conditions. A

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Patankar, N. A., and H. H. Hu. "A Numerical Investigation of the Detachment of the Trailing Particle From a Chain Sedimenting in Newtonian and Viscoelastic Fluids." Journal of Fluids Engineering 122, no. 3 (2000): 517–21. http://dx.doi.org/10.1115/1.1287269.

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Particles sedimenting in a viscoelastic fluid form chains. It has been observed in experiments that, sometimes, the last particle in the chain gets detached. In this paper, we investigate this phenomenon. It is known that a long chain falls faster than a single particle in fluids. This long body effect tends to detach the last particle from the chain. The wake effect and the normal stress effect are the mechanisms that work against the long body effect. The last particle is not detached if the inertial wake effects are strong enough to cause substantial drag reduction on it. The detachment is

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Krüger, Timm, Badr Kaoui, and Jens Harting. "Interplay of inertia and deformability on rheological properties of a suspension of capsules." Journal of Fluid Mechanics 751 (June 27, 2014): 725–45. http://dx.doi.org/10.1017/jfm.2014.315.

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AbstractThe interplay of inertia and deformability has a substantial impact on the transport of soft particles suspended in a fluid. However, to date a thorough understanding of these systems is still missing, and only a limited number of experimental and theoretical studies are available. We combine the finite-element, immersed-boundary and lattice-Boltzmann methods to simulate three-dimensional suspensions of soft particles subjected to planar Poiseuille flow at finite Reynolds numbers. Our findings confirm that the particle deformation and inclination increase when inertia is present. We ob

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Lott, François, Christophe Millet, and Jacques Vanneste. "Inertia–gravity waves in inertially stable and unstable shear flows." Journal of Fluid Mechanics 775 (June 19, 2015): 223–40. http://dx.doi.org/10.1017/jfm.2015.303.

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An inertia–gravity wave (IGW) propagating in a vertically sheared, rotating stratified fluid interacts with the pair of inertial levels that surround the critical level. An exact expression for the form of the IGW is derived here in the case of a linear shear and used to examine this interaction in detail. This expression recovers the classical values of the transmission and reflection coefficients $|T|=\text{e}^{-{\rm\pi}{\it\mu}}$ and $|R|=0$, where ${\it\mu}^{2}=J(1+{\it\nu}^{2})-1/4$, $J$ is the Richardson number and ${\it\nu}$ the ratio between the horizontal transverse and along-shear wa

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Bhattacharya, Sukalyan, Dil K. Gurung, and Shahin Navardi. "Radial lift on a suspended finite-sized sphere due to fluid inertia for low-Reynolds-number flow through a cylinder." Journal of Fluid Mechanics 722 (March 28, 2013): 159–86. http://dx.doi.org/10.1017/jfm.2012.636.

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AbstractThis article describes the radial drift of a suspended sphere in a cylinder-bound Poiseuille flow where the Reynolds number is small but finite. Unlike past studies, it considers a circular narrow conduit whose cross-sectional diameter is only $1. 5$–$6$ times the particle diameter. Thus, the analysis quantifies the effect of fluid inertia on the radial motion of the particle in the channel when the flow field is significantly influenced by the presence of the suspended body. To this end, the hydrodynamic fields are expanded as a series in Reynolds number, and a set of hierarchical equ

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Dai, Minglu, Chengxu Tu, Pengfei Du, et al. "Near-Wall Settling Behavior of a Particle in Stratified Fluids." Micromachines 13, no. 12 (2022): 2070. http://dx.doi.org/10.3390/mi13122070.

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The phenomenon of near-wall particle settling in a stratified fluid is an emerging topic in the field of multiphase flow, and it is also widely found in nature and engineering applications. In stratified fluids, particle settling characteristics are affected by the physical and chemical properties of the upper and lower fluids, the particle size, the particle density, and the initial sedimentation conditions. In this study, the main objective is to determine the effect of liquid viscosity and particle density on the detaching process, and the trajectory and velocity of near-wall settling parti

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Miguel, Antonio F. "Experimental Study on Nanofluid Flow in a Porous Cylinder: Viscosity, Permeability and Inertial Factor." Defect and Diffusion Forum 362 (April 2015): 47–57. http://dx.doi.org/10.4028/www.scientific.net/ddf.362.47.

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Knowledge of fluid rheology and flow characteristics is important when studying nanofluid flow in porous media. In this study, an experimental investigation is presented to determine the nanofluid viscosity, the permeability and the inertial (non-Darcy) parameter of a porous cylinder made of several capillary tubes. The applicability of the Darcy-Forchheimer equation for power-law fluids to estimate pressure drop through the porous material is discussed. The occurrence of particle losses from the base fluid (deposition) is also verified.Experiments are completed in two steps. In the first step

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Tijjani Lawal Hassan, Abdul Rahman Mohd Kasim, and Mohd Haziezan Hassan. "A Comparative Analysis on Single and Two Phase Casson Fluid under Aligned Magnetic Field Effect and Newtonian Heating." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 110, no. 2 (2023): 206–18. http://dx.doi.org/10.37934/arfmts.110.2.206218.

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This research investigates the impact of aligned magnetic fields and Newtonian heating on single and two-phase Casson fluid (a mixture of Casson fluid and dust particles), addressing a notable knowledge gap in comparing the two fluid models under the same effect. The problem of this study lies in the need to understand the similarities or differences in the reaction of these fluids to external forces. To achieve this, the governing equations for both fluids were formulated using a boundary layer approximation and numerical solutions were obtained utilizing the 'bvp4c' function within MATLAB so

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Liu, Benhua, Hao Zhan, Yiran Liu, et al. "Effects of Slip Length and Inertia on the Permeability of Fracture with Slippery Boundary Condition." International Journal of Environmental Research and Public Health 17, no. 11 (2020): 3817. http://dx.doi.org/10.3390/ijerph17113817.

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Although the slippery boundary condition (BC) has been validated to enhance fracture permeability (k), the coupling effects of heterogeneous slippery BC and inertia on k remain less understood. We used computational fluid dynamics to investigate the competing roles of slippery BC and inertial forces in controlling k evolution with increasing pressure gradient by designing six cases with different slip length scenarios for a two-dimensional natural fracture. Our results suggest that pronounced inertial effects were directly related to and demonstrated by the growth of recirculation zone (RZ); t

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Melkonyan, A., and M. Chuklin. "Calculation algorithm and software for pipeline vibrations with consideration of internal flow." Transactions of the Krylov State Research Centre S-I, no. 2 (2020): 260–65. http://dx.doi.org/10.24937/2542-2324-2020-2-s-i-260-265.

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This paper discusses the development of calculation complex (model, algorithm and software) needed to investigate vibration parameters (amplitudes of displacements, internal forces and support responses) of a constant cross-section pipeline with a perfect incompressible fluid flowing inside it. This paper presents a pipeline model as quasi-monomeric finite-element system. Presently, the study discusses vibration of a straight constant cross-section pipeline resting on two elastic supports. Calculation algorithm is based on the discrete variant of partial-response method. The effect of fluid fl

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Ma, Xuezhong. "Combined Effect of Fluid Cavitation and Inertia on the Pressure Buildup of Parallel Textured Surfaces." Lubricants 11, no. 7 (2023): 270. http://dx.doi.org/10.3390/lubricants11070270.

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A mathematical model is developed to investigate the combined effect of fluid cavitation and inertia on the fluid pressure buildup of parallel textured surfaces. The fluid cavitation is analyzed using the Rayleigh–Plesset model, and the fluid inertia is analyzed with an averaged method. The finite element method and Newton-downhill method are employed to solve the governing equations. The numerical model is validated by comparing the experimental and numerical results, and the combined effect of fluid cavitation and inertia on the fluid pressure buildup is analyzed and discussed. The research

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MAGNAUDET, JACQUES, SHU TAKAGI, and DOMINIQUE LEGENDRE. "Drag, deformation and lateral migration of a buoyant drop moving near a wall." Journal of Fluid Mechanics 476 (February 10, 2003): 115–57. http://dx.doi.org/10.1017/s0022112002002902.

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The problem of a drop of arbitrary density and viscosity moving close to a vertical wall under the effect of buoyancy is analysed theoretically. The case where the suspending fluid is at rest far from the drop and that of a linear shear flow are both considered. Effects of inertia and deformation are assumed to be small but of comparable magnitude, so that both of them contribute to the lateral migration of the drop. Expressions for the drag, deformation and migration valid down to separation distances from the wall of a few drop radii are established and discussed. Inertial and deformation-in

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Banerjee, I., M. E. Rosti, T. Kumar, L. Brandt, and A. Russom. "Analogue tuning of particle focusing in elasto-inertial flow." Meccanica 56, no. 7 (2021): 1739–49. http://dx.doi.org/10.1007/s11012-021-01329-z.

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AbstractWe report a unique tuneable analogue trend in particle focusing in the laminar and weak viscoelastic regime of elasto-inertial flows. We observe experimentally that particles in circular cross-section microchannels can be tuned to any focusing bandwidths that lie between the “Segre-Silberberg annulus” and the centre of a circular microcapillary. We use direct numerical simulations to investigate this phenomenon and to understand how minute amounts of elasticity affect the focussing of particles at increasing flow rates. An Immersed Boundary Method is used to account for the presence of

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Siddiqui, Abdul Majeed, Khadija Maqbool, Afifa Ahmed, and Amer Bilal Mann. "Inertial and Linear Re-Absorption Effects on a Synovial Fluid Flow Through a Lubricated Knee Joint." Lubricants 13, no. 5 (2025): 196. https://doi.org/10.3390/lubricants13050196.

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This study examines the flow dynamics of synovial fluid within a lubricated knee joint during movement, incorporating the effect of inertia and linear re-absorption at the synovial membrane. The fluid behavior is modeled using a couple-stress fluid framework, which accounts for mechanical phenomena and employs a lubricated membrane. synovial membrane plays a crucial role in reducing drag and enhancing joint lubrication for the formation of a uniform lubrication layer over the cartilage surfaces. The mathematical model of synovial fluid flow through the knee joint presents a set of non-linear p

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Jafargholinejad, Shapour, and Mohammad Najafi. "Inertia flows of Bingham fluids through a planar channel: Hydroelastic instability analysis." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 13 (2017): 2394–403. http://dx.doi.org/10.1177/0954406217711470.

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In this paper, the effect of inertial terms on hydroelastic stability of a pressure-driven flow of a viscoplastic fluid flowing through a channel lined with a highly compliant polymeric gel is investigated. It is assumed that the fluid obeys the Bingham constuitive equation and the polymeric gel follows a two-constant Mooney–Rivlin material, which is used for modeling a nonviscous hyperelastic polymeric coating. A base-state solution is obtained for the fluid motion and solid deformation, simultaneously. Next, some infinitesimally small two-dimensional disturbances are imposed on the base-stat

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Dalwadi, Mohit P., S. Jonathan Chapman, James M. Oliver, and Sarah L. Waters. "The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors." Journal of Fluid Mechanics 835 (November 27, 2017): 674–720. http://dx.doi.org/10.1017/jfm.2017.760.

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One method to grow artificial body tissue is to place a porous scaffold seeded with cells, known as a tissue construct, into a rotating bioreactor filled with a nutrient-rich fluid. The flow within the bioreactor is affected by the movement of the construct relative to the bioreactor which, in turn, is affected by the hydrodynamical and gravitational forces the construct experiences. The construct motion is thus coupled to the flow within the bioreactor. Over the time scale of a few hours, the construct appears to move in a periodic orbit but, over tens of hours, the construct drifts from peri

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RAY, BAIDURJA, and LANCE R. COLLINS. "Preferential concentration and relative velocity statistics of inertial particles in Navier–Stokes turbulence with and without filtering." Journal of Fluid Mechanics 680 (June 6, 2011): 488–510. http://dx.doi.org/10.1017/jfm.2011.174.

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The radial distribution function (RDF, a statistical measure of preferential concentration), and the relative velocity measured along the line-of-centres of two particles are the key statistical inputs to the collision kernel for finite-inertia particles suspended in a turbulent flow Sundaram & Collins (J. Fluid Mech., vol. 335, 1997, p. 75). In this paper, we investigate the behaviour of these two-particle statistics using direct numerical simulation (DNS) of homogeneous isotropic turbulence. While it is known that the RDF for particles of any Stokes number (St) decreases with separation

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Lardigue, A., and S. Bennis. "Pulsatile Laminar Flow in a Viscoelastic System." Journal of Fluids Engineering 118, no. 4 (1996): 829–32. http://dx.doi.org/10.1115/1.2835516.

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This work involves the study of Newtonian transitory and permanent flow regimes in a rigid tube that has been extended to include a viscoelastic enclosure. Variable pressures are applied at the free end of the tube. The problem is solved analytically by direct integration of the Navier-Stokes equations. In addition to the nondimensional parameter γ1 introduced previously by other authors, we found a new nondimensional parameter γ2 which also governs the fluid flow. This parameter may be interpreted as the ratio of the and the membrane viscosity force to the fluid friction force. The effects of

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Maeyama, Kohei, Shunichi Ishida, and Yohsuke Imai. "Peristaltic transport of a power-law fluid induced by a single wave: A numerical analysis using the cumulant lattice Boltzmann method." Physics of Fluids 34, no. 11 (2022): 111911. http://dx.doi.org/10.1063/5.0122182.

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Peristaltic pumping is the primary mechanism of food transport in the human intestine. Intestinal contents are often modeled as power-law fluids with low-behavior indices ( n < 1). Peristaltic flows were studied for periodic contraction waves ([Formula: see text]) with infinitely long wavelengths ([Formula: see text]) in the Stokes flow regime ([Formula: see text]). However, the peristaltic flow generated by an isolated contraction wave with a short wavelength at nonzero Reynolds numbers is more relevant to physiological conditions. In this study, we investigated the peristaltic transport o

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BHATTI, M. M., and A. ZEESHAN. "HEAT AND MASS TRANSFER ANALYSIS ON PERISTALTIC FLOW OF PARTICLE–FLUID SUSPENSION WITH SLIP EFFECTS." Journal of Mechanics in Medicine and Biology 17, no. 02 (2017): 1750028. http://dx.doi.org/10.1142/s0219519417500282.

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In this paper, the effect of heat and mass transfer on particle–fluid suspension due to peristaltic motion is examined with of slip effects. The governing equations of fluid phase and particulate phase for Casson fluid model with embedded particles are interpreted under the approximation of long wavelength and neglecting the inertial forces. The obtained coupled resulting partial differential equations are solved analytically and an exact form of solutions are conferred. The impact of various sundry parameters are plotted and discussed for velocity, temperature and concentration distribution f

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Meng, Meng, Stefan Z. Miska, Mengjiao Yu, and Evren M. Ozbayoglu. "Fully Coupled Modeling of Dynamic Loading of the Wellbore." SPE Journal 25, no. 03 (2019): 1462–88. http://dx.doi.org/10.2118/198914-pa.

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Summary Loadings acting on a wellbore are more realistically regarded as dynamic rather than static, and the wellbore response under dynamic loading can be different from that under static loading. Under dynamic loading, the inertia term should be considered and the changing rate of loading could induce a change in the mechanical properties of the wellbore, which might compromise wellbore stability and integrity. In this paper, a fully coupled poroelastodynamic model is proposed to study wellbore behavior. This model not only considers fully coupled deformation/diffusion effects, but also incl

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Moruzzi, Rodrigo Braga, Joice Gonçalves, Lais Galileu Speranza, and André Luiz de Oliveira. "Influência da ação combinada do transporte inercial e da sedimentação diferencial nos agregados após cessada a floculação mecanizada." Engenharia Sanitaria e Ambiental 27, no. 4 (2022): 723–29. http://dx.doi.org/10.1590/s1413-415220200291.

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RESUMO Durante a floculação mecanizada, o gradiente médio de velocidade (Gf) pode ser controlado de modo a formar agregados compatíveis com as unidades de separação sólido/líquido nas estações de tratamento de água, conferindo flexibilidade operacional ao sistema. Os ensaios de bancada auxiliam na definição da melhor condição de coagulação e floculação, permitindo até mesmo o controle da agitação (floculação ortocinética) e do tempo de detenção hidráulica. Todavia, não são conhecidos todos os efeitos secundários da formação dos agregados decorrentes do transporte inercial nem da sedimentação d

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