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Related Concept Videos

Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
Uniform Depth Channel Flow01:27

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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
Plane Potential Flows01:23

Plane Potential Flows

Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform Flow
Uniform flow...
Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
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Bernoulli's Equation for Flow Along a Streamline01:30

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Steady, Laminar Flow Between Parallel Plates01:17

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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.

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The Diffusion of Passive Tracers in Laminar Shear Flow
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Published on: May 1, 2018

Two-phase flow in complex geometries: A diffuse domain approach.

S Aland1, J Lowengrub, A Voigt

  • 1Department of Mathematics, Technische Universität Dresden, 01062 Dresden, Germany.

Computer Modeling in Engineering & Sciences : CMES
|September 28, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel diffuse domain and diffuse-interface method for simulating two-phase flows in intricate geometries. The approach effectively models complex boundaries and component interactions, showing accurate results in various simulations.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Numerical methods for partial differential equations

Background:

  • Simulating two-phase flows in complex geometries with contact lines is computationally challenging.
  • Existing methods often struggle with accurately representing intricate boundaries and interface dynamics.

Purpose of the Study:

  • To develop and validate a new computational method for simulating two-phase flows in complex geometries.
  • To integrate diffuse domain and diffuse-interface (phase-field) methods for enhanced accuracy and implementation ease.

Main Methods:

  • Combining diffuse domain method for complex geometries with diffuse-interface (phase-field) method for multiphase flows.
  • Implicitly defining complex geometry using a phase-field variable, approximating the characteristic function.
  • Reformulating and solving fluid and component concentration equations in a larger regular domain with implicit boundary conditions via source terms.
  • Utilizing adaptive finite elements for numerical implementation.

Main Results:

  • Demonstrated effectiveness of the algorithm through numerical examples.
  • Achieved excellent agreement with results from traditional methods in a driven cavity simulation.
  • Successfully simulated complex scenarios including droplet dynamics on a rippled ramp (2D/3D), flow through a Y-junction, and chaotic mixing in a serpentine channel.

Conclusions:

  • The proposed method offers a robust and versatile approach for simulating two-phase flows in complex geometries.
  • Implicit boundary condition modeling simplifies implementation and extends applicability to intricate designs.
  • The technique shows significant potential for applications in microfluidics and other fields requiring precise multiphase flow simulation.