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相关概念视频

Typical Model Studies01:30

Typical Model Studies

356
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
356
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

174
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
174
Deriving the Speed of Sound in a Liquid01:09

Deriving the Speed of Sound in a Liquid

500
As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave...
500
Couette Flow01:22

Couette Flow

249
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
249
Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

1.6K
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Irrotational Flow01:28

Irrotational Flow

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Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
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相关实验视频

Updated: Jun 26, 2025

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
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对粘弹性流量进行沉浸边界方法的基准测试.

Cole Gruninger1, Aaron Barrett2, Fuhui Fang1

  • 1Department of Mathematics, University North Carolina, Chapel Hill, NC, USA.

Journal of computational physics
|May 13, 2024
PubMed
概括

本研究将沉浸边界 (IB) 方法用于粘弹性流体模拟进行基准测试. 它为数值参数提供了建议,以确保在复杂几何中准确的模拟.

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科学领域:

  • 计算流体动力学的流体动力学.
  • 类风病学 类风病学 类风病学
  • 生物物理学的生物物理.

背景情况:

  • 沉浸边界 (IB) 方法对于模拟沉浸结构的流体动力学至关重要,特别是在生物系统中.
  • 虽然它对粘性液体有效,但对粘性弹性液体的应用需要进一步验证.
  • 目前对IB方法对粘弹性流量的准确性和趋同性的研究是有限的.

研究的目的:

  • 为了对粘弹性流体模拟的沉浸边界 (IB) 方法进行基准测试.
  • 为了评估IB方法在复杂的静止几何结构中的性能.
  • 为了将IB方法与有限元和有限体积溶解器进行比较,用于粘弹性流.

主要方法:

  • 用Oldroyd-B和Rolie-Poly构成模型将IB方法应用于粘弹性流.
  • 使用二维数值测试案例.
  • 将模拟结果与风湿学实验数据进行比较.
  • 与有限元和有限体积粘弹性流量溶解器进行基准测试.

主要成果:

  • 该研究提出了针对粘弹性流量应用的IB方法的基准测试.
  • 分析包括与实验数据和其他数值解析器进行比较.
  • 分析了关键的数值参数,例如三角函数规范化和网格间距.

结论:

  • IB方法可以有效地应用于复杂几何体内的粘弹性流.
  • 提供了选择数值参数以优化准确性和收的建议.
  • 这项工作有助于在粘弹性流体动力学中可靠使用IB方法.