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Boundary Layer Characteristics01:18

Boundary Layer Characteristics

194
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
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Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
352
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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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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General External Flow Characteristics01:26

General External Flow Characteristics

240
The study of external flow is essential for creating structures and objects that interact efficiently and safely with moving fluids, such as air or water. When a body is immersed in a flowing fluid, it experiences two primary forces: drag, which opposes motion along the flow direction, and lift, which acts perpendicular to the flow. The shape, size, and orientation of the object influence these forces.Streamlined and Blunt Bodies in External FlowObjects in fluid flow are classified as...
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Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

295
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
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Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

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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...
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Updated: Jul 31, 2025

Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
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Diffuse-Interface Blended Method for Imposing Physical Boundaries in Two-Fluid Flows.

Tanyakarn Treeratanaphitak1, Nasser Mohieddin Abukhdeir2,3

  • 1School of Integrated Science and Innovation, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12121, Thailand.

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Summary

A novel diffuse-interface method simplifies multiphase flow simulations by using structured meshes, reducing computational time and improving accuracy for chemical engineering applications.

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Area of Science:

  • Multiphase flow dynamics
  • Computational fluid dynamics
  • Chemical engineering simulations

Background:

  • Multiphase flows are crucial in chemical engineering, often simulated using complex conformal unstructured meshes.
  • These meshes are computationally expensive, time-consuming to generate, and can introduce numerical instability.
  • Existing methods struggle with accuracy and efficiency in complex physical systems.

Purpose of the Study:

  • To develop a novel diffuse-interface method for incompressible two-fluid multiphase flow.
  • To enable the use of simple structured meshes for simulating physical boundaries.
  • To improve the efficiency and accuracy of multiphase flow simulations in chemical engineering.

Main Methods:

  • A diffuse-interface approach was developed for the incompressible two-fluid multiphase flow model.
  • Boundary conditions were imposed by blending conservation equations of the two-fluid model with a nondeformable solid.
  • The diffuse-interface method was compared against a conformal unstructured mesh for various interface functions and widths.

Main Results:

  • For small interface widths, the diffuse-interface method showed high accuracy (within 3%) compared to conformal meshes.
  • As interface width increased, deviations up to 30% were observed in gas fraction and hold-up.
  • Simulations of flow past a cylinder showed the diffuse interface altering the effective boundary thickness over time.

Conclusions:

  • The diffuse-interface method offers a viable alternative to conformal meshes for multiphase flow simulations.
  • Mesh simplicity and reduced generation time are key advantages, especially for dispersed flows.
  • Careful selection of interface width is necessary to maintain accuracy in complex flow scenarios.