Viscoelastic fluid model. 1. CRediT authorship contribution statement Dec 1, 2014 · The Maxwell fluid is an important class of viscoelastic fluid models. The Zener’s (standard) solid model is composed of the Voight-Kelvin solid and the additional spring connected in a series. and the viscoelastic KBZ fluid, among others. I'm sure this is going to be very well received by the members of the forum. 10. Oldroyd-B/UCM, Giesekus, Phan-Thien–Tanner (PTT), Finitely Extensible Nonlinear Elastic (FENE-P and FENE-CR), and Pom–Pom based constitutive Nov 21, 2011 · Our swimmer is a rotating rigid helix, plunged at constant speed V into a tank containing either a Newtonian fluid or a viscoelastic fluid . apnum. 36 and El = 117 for 5000 ppm PEO), leading to Schematic of stress relaxation between Newtonian fluid (left) and viscoelastic fluid (right). A lattice Boltzmann (LB) framework is developed for simulation of three-phase viscoelastic fluid flows in complex geometries. 2022. Aug 29, 2002 · We have extended the Voigt model to a non-linear viscoelastic fluid model, thereby dispensing with simplifying assumptions of vanishing advective transport. 4. We establish the global existence Apr 15, 2020 · In summary, it is robust and reliable of the proposed FPMT for Newtonian fluid flow with high Re and viscoelastic fluid flow with high Wi. Here the specific expression for E is that of the Standard Linear Solid model, but other models could have been used as well. The viscoelastic fluid is well approximated by a Boger fluid, a liquid with a shear-rate-independent viscosity (13, 14). This paper studies the velocity response of viscoelastic fluid to an applied external body force in a two-dimensional fully-developed Poiseuille flow model as shown in Fig. This fluid model is an extension of the generalized Maxwell fluid and allows the effects of solvent viscosity to be taken into account. International Journal of Non-Linear Mechanics, 38, 645–650 (2003). Attention is focused in particular on the primary and secondary resonances with the Kelvin–Voigt fractional order constitutive relationship model. Flagella beating in complex fluids are significantly influenced by viscoelastic stresses. Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model. 5. Relevant examples include the ciliary transport of respiratory airway mucus and the motion of spermatozoa in the mucus-filled female reproductive tract. The. 37, 315 (1999)], a fully objective constitutive equation for an incompressible fluid—reducible to the linear fractional derivative Maxwell model under the small deformations hypothesis—is given, together with a state of rest stability analysis. 31. Utilizing the local symmetries of the governing PDEs, we derive the one-dimensional optimal system of subalgebras and construct several new exact solutions through symmetry reduction. Since this assumption is not made in our model, it may be more suitable for the description of fluid behavior, both viscous and viscoelastic. This situation comprises natural habitats of many swimming microorganisms, and while previous investigations have considered the effects of both swimming next to a boundary and swimming in a Dec 1, 2005 · The viscoelastic fluid is assumed to be linear and satisfies the Jeffreys model equations. • Glass transition temperature is mathematically shown to depend on cooling rate, temperature and pressure. from. Unlike simple Newtonian fluids, complex viscoelastic fluids have a microstructure which endows them with macroscopic properties that defy our intuition. The latter is defined by for an incompressible elastic solid. Exact analytic solutions for the velocity and the stress fields in term of the Fox H-function are obtained by using the discrete Laplace transform for two types of flows of a viscoelastic fluid, namely, (i) flow due to impulsive motion in the presence of a constant pressure gradient and (ii) flow Jul 31, 2018 · July 31, 2018. While a Newtonian fluid is depressed when stirred, a viscoelastic fluid climbs the rod; While a Newtonian fluid splashes against the surface, a viscoelastic jet bounces. The relaxation modulus transits from the glassy stage Feb 1, 2023 · In this paper, we consider a weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. Dec 1, 2010 · Both constitutive equations can be used to model the behavior of polymer molecules surrounded by an incompressible Newtonian solvent. Dec 11, 2019 · The most popular constitutive equation for viscoelastic fluids is the Oldroyd-B model, which captures the main features of viscoelastic flows but at the same time is simple enough to allow finding the analytical solution for the flow field in many circumstances. B. We consider the simplest model of such propulsion and transport in Sep 15, 2020 · In this paper, a viscoelastic fluid unsteady flow model based on the torque loss correction of the test system was established. • Nonlinear viscoelasticity can be obtained by adding a nonlinear term into the new proposed linear viscoelastic model. KR. Further, we employ the direct multipliers Jan 1, 2020 · The more complex, commonly used, viscoelastic material models consist of three and four parameters. To illustrate the validity and the capacity of using the proposed FPMT-SPH to simulate the free surface flow, the classical Example 6, Example 7 are investigated. In finite volume method, the operator-integration is used to discretize the Dec 1, 2010 · The proposed methodology was implemented in a new computational fluid dynamics (CFD) tool and consists of a viscoelastic fluid module included in the OpenFOAM, a flexible open source CFD package. Then we further show the existence, uniqueness and regularity of the mild solution of the problem. Although the Sep 24, 2006 · Using and θ f 1 ⁠, and n ¯ ⁠, rock permeability (k) and porosity (ϕ) and fluid flow velocity (u), a viscoelasticity number (N V) is calculated, and found to strongly correlate with the pressure gradient inside porous media. Inaseries connection such as theMaxwell model, thestresson each element is the same and equal to the imposed stress, while thetotal strain is the sumof the strainineachelement: Jan 1, 2021 · The viscoelastic fluid transient flow model was established, and the real wall stress expression of unsteady shear flow of the viscoelastic fluid in the initial stage was obtained. Viscoelastic fluid flows within eccentric rotating cylinders are simulated using a finite element based commercial software POLYFLOW, and an approach based on the stream-tube method (STM) and domain decomposition. The simulation software for viscoelastic materials generally implement only some material models. The fluids considered are non-Newtonian, viscoelastic and modelled by an Upper Convective Maxwell (UCM) constitutive equation. One of the simplest types of model to account for rheological affects of viscoelastic fluid is the Maxwell model. May 20, 2021 · The famous White–Metzner (WM) constitutive equation expresses a relatively simple nonlinear viscoelastic fluid of polymer melts. The classic material model for time dependent effects is viscoelasticity. Administrator. Q. 6. FLOW-3D includes viscoelastic flow models that predict the behavior of material that behave both like liquids and solids, depending on the local strain and strain rate. Often, the simpler Maxwell model and the Kelvin Jun 1, 2021 · Viscosity of polymers is a function of time (temperature, pressure) in current linear viscoelastic model. 13 DOI: 10. 13 zyxwvutsr zyxwv zyxwv zyxwvutsr A Model Viscoelastic Fluid ratio ( N J T )of about 5 . Nov 9, 2017 · the viscoelastic Maxwell fluid, the viscoelastic Jeffreys fluid, the viscoelastic Oldroyd fluid, the viscoelastic Carreau fluid, the viscoelastic “ordered” fluids. Therefore, one-order derivative of TVTM is transformed into the conformable fractional derivative and the fractional TVTM is obtained. A novel finite volume method about the boundary layer flow and heat transfer of fractional viscoelastic fluid over a moving plate with convective boundary condition is developed. The fluids are highly viscous to replicate the low Reynolds number environment of Mar 1, 2022 · In this paper, traffic flow is compared with viscoelastic fluid, and fractional derivative is introduced in traffic flow model to establish a fractional viscoelastic traffic flow model. Generalized Kelvin–Voigt and Maxwell models using Prony series are some of the most well-known models to characterize the behavior of polymers. In the past few decades, a large number of research achievements regarding Maxwell fluid model have been published. In contrast, the reduced-order modeling of non-Newtonian viscoelastic fluid flows remains relatively unexplored. 14. 1994 Quantitative prediction of the viscoelastic instability in cone-and-plate flow of a Boger fluid using a multi-mode Giesekus model. The fractional Maxwell model and fractional Fourier's law are employed in the constitutive relations. The model couples the breaking/reforming reaction scheme of the microscopic polymers with other mechanical effects in usual viscoelastic complex fluids. However, such a differential stress model, substantial with strong hyperbolic and singular problems, has hitherto always obtained unsatisfactory simulations of corner vortex in a typical contraction flow, especially for high Weissenberg numbers. Dec 1, 2021 · When the viscoelastic solid model included in the viscoelastic fluid model tends toward constant strain, the viscoelastic fluid model tends toward a constant strain rate. This correlation is the basis for defining a viscoelastic model for polymer flow, analogous to Darcy's law. The unsteady flow of viscoelastic fluid with the fractional derivative Maxwell model (FDMM) in a channel is studied in this note. For non-Newtonian fluids, three groups of constitutive models are identified: inelastic, linear-viscoelastic, and non-linear viscoelastic. For the viscoelastic models, two limiting behaviors, the viscous fluid and the elastic “fluid”, will be examined. The reason the assumption is not needed here is because of the use of strain measures H(l) and Ht2) defined by differential equations (4. Therefore, it is interesting to establish a fractional model depicting viscoelasticity between the Kelvin solid and the Maxwell fluid, as presented in Fig. In the stability section of the aforementioned Apr 1, 2011 · Abstract. 1) studied in this Feb 20, 2013 · This Demonstration plots ideal creep, stress-relaxation, and stress-strain curves of a viscoelastic solid or liquid represented by a three-element mechanical analog. Oct 1, 1995 · Abstract. Governing equations Aug 29, 2022 · Viscoelastic fluids can exhibit striking flow instabilities under conditions where ordinary Newtonian fluids are stable, owing to the nonlinear coupling of the elastic and viscous stresses. Therefore, for the practice of the engineer, it is very useful to have formulas that establish the equivalence between different models. -afflne deformation, defined in an appropriate manner. The Laplace transform is used to provide Feb 27, 2018 · A lattice Boltzmann (LB) framework is developed for simulation of three-phase viscoelastic fluid flows in complex geometries. To characterize the complex rheology of the fluid liner, a viscoelastic model described by the constitutive equation of Jeffrey's fluid is employed. However, Riemann-sum approximation is used to invert the solution from the Laplace transform to the time domains. Jan 7, 2021 · This contribution employs the Giesekus model to characterize the viscoelastic fluid with the second normal stresses variation. CrossRef Google Scholar Jul 1, 2003 · DOI: 10. Volumetric deviatoric splits were used for both elastic and viscous energies. 7. Jun 28, 2019 · Physical model. Feb 1, 2006 · The unidirectional oscillating flow of a viscoelastic fluid with the fractional Maxwell model is studied. Aug 14, 2020 · Abstract. Mar 30, 2004 · The constitutive equation of viscoelastic fluid with fractional derivative Maxwell model is given by [24]: (1) σ+λ α d α σ d t α =Gλ β d β ε d t β. A. Such a model has been used extensively in geomechanics as well as to describe the response of materials like asphalt. Eng. The solutions of the considered problems are obtained analytically using Laplace transformation technique. Sci. , Brown, R. The Lie classical symmetries are computed and utilized to generate one-dimensional optimal subalgebras. 54, 351 – 377. In porous medium channels, when heat and mass transfer occur contemporaneously, the density gradient will be produced due to mass and thermal heterogeneity, resulting in the Feb 10, 2020 · We developed an innovative material nonlinear viscoelastic model with physical mechanism and mathematical solution to improve existing ones. The three-parameter solid element is a Kelvin element (a spring and a Nov 29, 2021 · A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates. Rajkumar et al. non. Numerical solutions are obtained and validated by exact solutions of special case with source terms. The inelastic models are quite useful for pressure-drop/flow-rate calculations. 1016/j. Aug 1, 2006 · Thrombi are formed at the end of a series of complex biochemical processes. The stress, strain, and time relation of Burgers’ fluid model is expressed with second order differential operators applied Aug 8, 2023 · Reduced-order models have been widely adopted in fluid mechanics, particularly in the context of Newtonian fluid flows. Thus the Coleman model excludes Newtonian fluid behavior. Dec 11, 2017 · In this paper, we study the swimming of a model organism, the so-called Taylor’s swimming sheet, in a viscoelastic fluid close to a solid boundary. Colored noise with a single relaxation time was applied to a parallel Newtonian–Maxwell fluid without the affine deformation of the displacement field to discuss the spatio-temporal correlation function of hydrodynamic fluctuations [29], [30]. The damper consists of an open pot, filled with Apr 25, 2012 · This manuscript presents a systematic investigation of the response of a Burgers’ viscoelastic fluid model with stress-dependent material parameters. Karthik. The WS model synthesizes the thin plate and viscous layer models described earlier, as limiting cases of a more general formulation. This model consists of fluid particles that have an additional elastic vector characterizing the state of elongation of the molecules within the fluid particle. The dynamic equations of coupled planar motion for the pipe are derived by employing the Euler beam theory and the generalized Hamilton principle when we consider both the fractional material model and the geometric non-linearity. Viscoelastic materials include polymer solutions, melts, and highly filled suspensions of particles. Several models are used for viscoelastic models and Maxwell is one of the common models for this field. The readers may find more details on the viscoelastic fluids in the papers of Larson [6, 7] and the textbook of Phan-Thien . 1 Reiner-Rivlin Fluid THE BINGHAM MODEL Structured fluids, such as concentrated suspensions and liquid crystals show solid rheological response at low stress levels. [31], we further proposed a generalized model for the field assessment of the particle settling velocity in shear-thinning viscoelastic fluids. [1] The inelastic behavior that is the subject of viscoplasticity is plastic deformation which means that Jan 20, 2024 · The red fluid is the viscoelastic fluid, green is the Newtonian fluid and blue is the power-law fluid with \(n=1. There are various types of thrombi, and their rheological properties change depending on the conditions during clot formation. Full size image For power-law model the operation regimes were studied by 8 . This paper is concerned with a three-phase model of viscoelastic fluid flow in R N for N ≥ 5. 4 Viscoelastic Flows. The resulting non-Newtonian fluid model admits non-linear phenomena such as steepening of the wave fronts as well as wave overturning and their subsequent turbulent breaking. In view of hydrodynamic slip at The Maxwell model may be one of the models most applied to the academic investigation and practice application since it was proposed, although it is a fluid present model for the real viscoelastic solid material, it had been employed to describe the mechanical behavior for the solid material sometimes (Hatada, Kobori, Ishida, & Niwa, 2000; Lu, Lin, & Shih, 2012; Zhang & Richards, 2007; Zhu Apr 28, 2008 · In the work of Palade et al [Int. 32. Rate-dependence in this context means that the deformation of the material depends on the rate at which loads are applied. The Maxwell and Oldroyd B fluids are the most thoroughly studied. molecular theory with the addition of one scalar parameter which. The reliability of the model was verified by comparing the result from the analytical model with numerical calculation. To account for the viscoelastic effects Jan 1, 2023 · The Maxwell model may be one of the models most applied to the academic investigation and practice application since it was proposed, although it is a fluid present model for the real viscoelastic solid material, it had been employed to describe the mechanical behavior for the solid material sometimes (Hatada, Kobori, Ishida, & Niwa, 2000; Lu Standard linear solid model. But this model does not properly describe the typical relation between shear rate and shear stress in a simple shear flow [16], [17], [18]. In above equation σ is the shear stress, ε is the shear strain, λ = μ / G is a relaxation time, G is a shear modulus, μ is the constant coefficient of viscosity and α and β are A new viscoelastic phase-field model for hydraulic fracturing was developed. An analytical approximate constitutive relation is derived for a form of fluid damper, which exhibits viscoelastic behavior. The [4] utilized fractional calculus to analyze the modified Oldroyd-B viscoelastic fluid model. examined the effect of viscous dissipation on the heat transfer and entropy output in an asymmetrically heated microchannel of PTT viscoelastic fluid for Poiseuille flow. It will turn out that this elastic correspondence exists only for a specific class of rheological models. For a monodispersed polystyrene flow instabilities of this sort have been observed and reported to occur at a critical stress ratio of 5. The solid model comes in the form of either a spring and Maxwell element in parallel or a spring and a Kelvin–Voigt element in series, and the liquid is in the form of a dashpot Therefore, the precise question we wish to address is whether a given viscoelastic fluid model, in the limit λ → ∞, converges to the constitutive relation of an elastic solid. The fractional Maxwell model exhibits resonance phenomena similar . This work Aug 1, 2022 · There are several mathematical models to describe such viscoelastic fluid, among which Oldroyed-B model [1] is the most famous one. In this paper, a model for a particular type of clot, formed from human plasma, is proposed within a thermodynamic framework that recognizes that viscoelastic fluids possess multiple natural There are numerous models to represent linear viscoelastic behavior [25]. Two of the simplest models are shown in figure 2. The four parameters Burger’s model consists of the Maxwell and Voight-Kelvin solids connected in series – Fig. Two special cases of pressure gradient are discussed. 3\). The standard linear solid (SLS), also known as the Zener model after Clarence Zener, [1] is a method of modeling the behavior of a viscoelastic material using a linear combination of springs and dashpots to represent elastic and viscous components, respectively. Equation 5. 2, which is referred to as fractional Kelvin-Maxwell (FKM) model. POLYMER ENGINEERING AND SCIENCE, OCTOBER, 1978, Vol. The Oldroyd-B numerical model defines flow in fluids that exhibit complex viscoelastic behavior under strain, such as clay, toothpaste, oil, and polymer solutions. The model satisfies thermodynamic consistency. (J Non-Newton Fluid Mech 293:104559, 2021), by using the energetic variational approach. Fluid flow experiences stronger magnetic forces as the magnetic parameter increases. Lesueur (2009) has recently reviewed the main linear viscoelastic models used to describe the linear viscoelastic behaviour of unmodified bitumen. 27, which is clearly reminiscent of Hooke’s Law σ = Eϵ but in the Laplace plane, is called the associated viscoelastic constitutive equation. The new model transforms the coefficient of traffic flow model from constant to function of time by selecting the type of. Very simple physical mechanisms are proposed for the dynamics of the elastic Jan 25, 2021 · Öztekin, A. The Viscoelastic flows. For plane Poiseuille flow, the critical Reynolds number can be lowered to approximately 1700 by elasticity [ 99, 156 ]. Firstly, the weak Galerkin finite element method is used to approximate the spatial variable and we use piecewise polynomials of degrees k, k − 1 and k − 1 (k ≥ 1) to approximate the velocity, pressure, and the numerical trace of the velocity on the interfaces of elements Oct 1, 2023 · In the present paper, we apply Lie symmetry to the Suliciu relaxation system governed by viscoelastic shallow fluid. In this section, we will cover physical characteristics for viscoelastic behavior as well as introduce basic mechanical analogs for describing It is best now to come back to the general framework of multi-dimensional constitutive equations, and start from the simple fluid model and investigating viscoelastic models. The phase-field driving force simultaneously considers the effects of elastic, viscous dissipation, and fluid energies. The viscoelastic model is depending on the interaction law of the spring (linear for Oldroyd-B, non linear for FENE-P). The nonlinear geometric partial differential equations due to stretching effect have been Jul 24, 2015 · Their viscoelastic ice layer model, hereinafter referred to as the WS model, is a two-dimensional fluid with a prescribed constitutive relation derived from a simple spring-dashpot formulation. Viscoplasticity is a theory in continuum mechanics that describes the rate-dependent inelastic behavior of solids. [14] have investigated the unsteady flow of viscoelastic fluid with fractional Maxwell model between two parallel plates and Qi and Jin [15] have discussed unsteady flows between coaxial cylinders, while Qi and Xu [16] have studied in the channel and solutions are obtained by using Laplace transform, Fourier transform and Weber Nov 30, 2023 · One of the most general viscoelastic fluid models is that developed by James Gardner Oldroyd, called the Oldroyd-B model. The reliability Jun 1, 2008 · Considering the relevance of fractional models of viscoelastic fluids, a number of articles [2][3][4][5][6] [7] [8], have addressed unsteady flows of viscoelastic fluids in conduits with the Apr 3, 2024 · Extension of finite particle method simulating thermal-viscoelastic flow and fluid–rigid body interactional process in weakly compressible smoothed particle hydrodynamics scheme Yudong Li 0000-0003-2244-5513 Oct 23, 2003 · A recently proposed viscoelastic dissipative particle dynamics model is put into a thermodynamically consistent form that allows for nonisothermal situations. The fluid is modelled using a modification of the Pom-Pom model known as the single eXtended Pom-Pom (XPP) where viscoelastic fluid, is typically a commercial low-density polyethylene. In order to overcome the restriction of the so-called inf-sup conditions, a pressure projection method based on the differences of two local Gauss integrations is introduced. In this study, using the methodology presented by Chen et al. By opposing fluid flow, this magnetic force increases the drag force on the fluid. 2. Hello Thank you for sharing the link to your paper here on the forum. Jan 15, 2010 · Tan et al. The Newtonian fluid is an excellent model for materials that are simple, including oil, water, and most organic liquids. becomes Important for large deformations. Under some suitable assumptions on the initial data and forcing May 1, 2022 · As a viscoelastic fluid is flowing through a porous medium, such as in the filtration in food processing, Darcy model is adopted to study the infiltration in the medium. where Ge is the elastic modulus. To account for the viscoelastic effects, the Maxwell constitutive relation is correctly Nov 1, 2020 · The Maxwell model is also very common for fluid-like materials. A viscoelastic droplet impact problem. 1016/S0020-7462(01)00121-4 Corpus ID: 122332634; A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates @article{Wenchang2003ANO, title={A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates}, author={Tan Wen-chang and Pan Wenxiao and Xu Mingyu}, journal={International Mar 1, 2007 · Abstract. The Apr 28, 2008 · Stability of fractional derivative models of viscoelasticity was studied by Heibig and Palade [30,31]. At present, the numerical algorithms for Oldroyed-B model are still a hot research field. Aug 1, 2009 · In this paper, the generalized Oldroyd-B model with the fractional calculus approach is used. The method of reduced variables is introduced to construct the master curves of the dynamic modulus of the fluid at some The common viscoelastic models for the description of smart material behavior which behave similar to a fluid include viscous dashpot [4,5], Maxwell fluid [6,7], and three-parameter fluid [8, 9 Jan 1, 2021 · The viscoelastic fluid transient flow model was established, and the real wall stress expression of unsteady shear flow of the viscoelastic fluid in the initial stage was obtained. This model is based on a Rothman-Keller type model for immiscible multiphase flows which ensures mass conservation of each component in porous media even for a high density ratio. Concerning modified binders, their dynamic linear viscoelastic behaviour can be described by a generalised Maxwell model: 7. 2. The subalgebras were then used to produce the reduced ODEs, which were subsequently solved and obtained some exact Sep 1, 2003 · Some details of the present analytical derivation for the viscoelastic fluid model are given here, together with a complete assessment of the results, especially regarding the effect of elasticity and the coupled effect of elasticity and viscous heating on the development of the thermal solution. The difference between the analytical solution and the numerical May 10, 2011 · In this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. To consider the viscoelastic effect, the Newtonian fluid model has been extended in different ways. The theory is applied to. These models offer the ability to predict complex dynamics, such as instabilities and oscillations, at a considerably reduced computational cost. Mar 14, 2024 · This study focuses on magnetically induced flow bounded by non-uniform curved walls, motivated by the importance of peristalsis and micro-organism motility. constitutive equation is a generalization of that obtained. σ = ˆ Gγ σ < σ 0 σ 0 +η pγ σ > σ˙ 0 (1-24) σ 0 is the yield stress, below which there is no flow, and above which flow Apr 10, 2024 · Fluid flow velocity profiles can be affected by magnetic parameters. Aug 24, 2007 · Propulsion in a viscoelastic fluid. In relation to fluid flow, the magnetic parameter measures the strength of the magnetic field. J. Abstract. Viscoelastic effects can substantially lower the critical Reynolds number of parallel shear flows. As the name implies, viscoelasticity incorporates aspects of both fluid behavior (viscous) and solid behavior (elastic). This article provides perspectives on viscoelastic flow instabilities by integrating the input from speakers at a recent international workshop: historical remarks, characterization of fluids and flows Sep 22, 2021 · Please check our recent publication where we simulated compressible, multiphase viscoelastic flow in fluent. The flow is produced by a periodic pressure gradient in an infinite straight pipe. In a benchmark model of an Oldroyd-B fluid, the COMSOL Multiphysics® software and add-on CFD Module are used to solve the numerical model, the results of which have Jun 6, 2023 · In this viscoelastic fluid regime, the elastic force F E completely dominates in the vertical direction as the inertial force is negligible (Re = 0. The damper is used for vibration isolation of piping systems and industrial equipment, as well as for vibration and seismic isolation of building structures. Download : Download high-res image (243KB) Download : Download full-size image; Fig. Exact solutions are obtained in the time and frequency domains by using Fourier transform. 18, No. Elasto-viscoplastic materials exhibit solid-like behavior up to a yield Sep 2, 2021 · E = ke + k1s s + 1 τ. & McKinley, G. It is considered the best model for describing physiological fluids. Sep 1, 2023 · Recently, a new generalized model for the field assessment of drilling fluid viscoelasticity has been presented [31]. Article Google Scholar YIN, Y. H. 013 Corpus ID: 253216133; A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model @article{Duan2022AWG, title={A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model}, author={Mengmeng Duan and Yan Yang and Minfu Feng}, journal={Applied Numerical Mathematics}, year={2022}, url={https://api Mar 1, 2022 · The viscoelastic fluid model established via fractional calculus demonstrates a better effect than integer calculus (Liu, 2022; Moosavi, 2021). and ZHU, K. The model (1. September 22, 2021 at 12:43 pm. In this paper, we consider the Galerkin finite element method (FEM) for the Kelvin-Voigt viscoelastic fluid flow model with the lowest equal-order pairs. Maxwell considered a spring (symbol of elasticity) and a damper or dashpot (symbol of viscosity) in series under a stress to model viscoelastic A continuum theory of viscoelasticity is developed which allows. Apr 22, 2022 · In this paper, we study a new micro-macro model for a reactive polymeric fluid, which is derived recently in Wang et al. Oct 26, 2019 · Nonlinear forced vibrations of a fractional viscoelastic pipe conveying fluid exposed to the time-dependent excitations is investigated in the present work. Non-Newtonian Fluid Mech. A solution methodology is presented for computing the dynamic stiffnesses in all vibration modes of viscoelastic-fluid dampers with mechanical properties that depend strongly on both frequency and temperature. 14) and Oct 1, 2023 · Suliciu relaxation system (1) describing non-Newtonian viscoelastic fluid has been investigated via symmetry analysis. 3 (22). In [30], the existence of weak solutions for a fractional derivative viscoelastic fluid model Apr 1, 2018 · The nonlinear free vibration of a fractional dynamic model for the viscoelastic pipe conveying fluid is studied in this paper. Among these literatures, boundary layer problems of upper-convected Maxwell fluid have obtained attention. The simplest model for this class of flow is the Bingham Model. We first prove the existence of the time-periodic solution to the integral system in the space of B C ( R; L N, ∞ ( Ω)). The exact solutions are obtained for an arbitrary pressure gradient by means of the finite Fourier cosine transform and the Laplace transform. Mar 30, 2004 · Amongst these many models, fluids of differential type have attracted much attention. The mechanical phenomenon of steady-state rheology can be observed. May 1, 2022 · Likewise, [3] investigates the time-dependent viscoelastic fluid flow via a Forchheimer medium, employing a fractional calculus approach in the implementation of the constitutive model for the flow problem. The polymer molecules are modeled by two beads connected by a spring. uh sw rt qy kp iv hg ty rz yg