Flow Behaviors of Polymer Solution in a Lid-Driven Cavity

Bui, Cuong Mai; Ho, Anh-Ngoc Tran; Nguyen, Xuan Bao

doi:10.3390/polym14122330

Cited by 3 publications

(1 citation statement)

References 48 publications

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“…Most open-cavity-flow studies have carried out flow and pressure data collection by visualization facilities [5]. Corresponding results have shown that a feedback mechanism of the shear layer-cavity corner having obvious impacts on the unsteady turbulent flow in the cavity is the intrinsic characteristic over a considerable quantity of Reynolds (Re) and Mach numbers [6].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Pressure–Velocity Correlations by Green’s Function Based on Reynolds Stress Model

Zhang

Yang

2022

Symmetry

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Cost-effective wind energy harvesting by wind turbines in urban areas needs to strengthen the required flow field properties, such as mean velocity, turbulence, and its distribution. This paper conducts a series of CFD simulations to investigate the characteristics and related mechanisms of flow within the cavity, considering the force–turbulence interactions at the RANS scales. The pressure–velocity correlation term is formulated and solved by the elliptic relaxation equation to compensate for the Reynolds stress overestimation. Numerical simulations of flow over an open cavity with the proposed model are compared with corresponding PIV data. The results show that the mean velocity and the fluctuation velocity along the streamwise direction exist a slightly favorable pressure gradient. While the fluctuation velocity and fluctuation pressure show different correlation characteristics along the streamwise direction. Moreover, the pressure–velocity fluctuation correlation becomes obvious near the upper corner of the cavity due to the favorable pressure gradient. Hence, the leading and trailing locations of the cavity are both obvious favorable regions and further emphasis should be put on both high-accurate simulation methods and practical applications.

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Section: Introductionmentioning

confidence: 99%

Simulation of Pressure–Velocity Correlations by Green’s Function Based on Reynolds Stress Model

Zhang

Yang

2022

Symmetry

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Direct numerical simulation for lid-driven cavity under various Reynolds numbers in fully staggered grid

Park

2023

Physics of Fluids

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Finite difference method in a fully staggered grid is applied to solve the incompressible Navier–Stokes equation with direct numerical simulations. Without a turbulent or transient model, lid-driven cavity simulations are conducted with various Reynolds numbers from 102 to 106. The fluid property is fixed, and a lid velocity is changed to set the Reynolds number condition. Time steps are adjusted to keep the consistency of Courant number conditions. Simulation results are compared with the experimental measurements for a Reynolds number of 104 condition, in which the result shows relatively larger values of non-dimensional root mean square (RMS) compared to the other Reynolds number conditions. Vertical and horizontal velocity components show comparably higher RMS distributions around a downstream eddy region and above a bottom surface region, respectively, when the Reynolds number is 104. Time-averaged and RMS distributions show reasonable agreement with the experimental results, and a velocity spectral analysis shows the Kolmogorov spectrum of −5/3 slope for all velocity components. Taylor–Görtler-like (TGL) vortices are observed clearly in the downstream jet region. When the Reynolds number increases, the size of the TGL vortical structure in the spanwise direction decreases and numerous small-scale vortices occur.

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Lagrangian Split-Step Method for Viscoelastic Flows

Bašić,

Blagojević,

Klarin

et al. 2024

Polymers

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This research addresses and resolves current challenges in meshless Lagrangian methods for simulating viscoelastic materials. A split-step scheme, or pressure Poisson reformulation of the Navier–Stokes equations, is introduced for incompressible viscoelastic flows in a Lagrangian context. The Lagrangian differencing dynamics (LDD) method, which is a thoroughly validated Lagrangian method for Newtonian and non-Newtonian incompressible flows, is extended to solve the introduced split-step scheme to simulate viscoelastic flows based on the Oldroyd-B constitutive model. To validate and evaluate the new method’s capabilities, the following benchmarks were used: lid-driven cavity flow, droplet impact response, 4:1 planar sudden contraction, and die swelling. These findings highlight the LDD method’s effectiveness in accurately simulating viscoelastic flows and capturing large deformations and memory effects. Even though the extra stress was directly modeled without any regularization approach, the method produced stable simulations for high Weissenberg numbers. The stability and performance of the the Lagrangian numerics for complex temporal evolution of material properties and stress responses encourage its use for industrial problems dealing with polymers.

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Flow Behaviors of Polymer Solution in a Lid-Driven Cavity

Cited by 3 publications

References 48 publications

Simulation of Pressure–Velocity Correlations by Green’s Function Based on Reynolds Stress Model

Simulation of Pressure–Velocity Correlations by Green’s Function Based on Reynolds Stress Model

Direct numerical simulation for lid-driven cavity under various Reynolds numbers in fully staggered grid

Lagrangian Split-Step Method for Viscoelastic Flows

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