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Related Concept Videos

Typical Model Studies01:30

Typical Model Studies

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.
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Irrotational Flow01:28

Irrotational Flow

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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Related Experiment Video

Updated: Jul 4, 2026

Visualization of High Speed Liquid Jet Impaction on a Moving Surface
08:34

Visualization of High Speed Liquid Jet Impaction on a Moving Surface

Published on: April 17, 2015

Hydrodynamic model for liquid-impelled loop reactors.

H M van Sonsbeek1, R E Verdurmen, P Verlaan

  • 1Food and Bioprocess Engineering Group, Department of Food Science, Agricultural University Wageningen, 6700 EV Wageningen, The Netherlands.

Biotechnology and Bioengineering
|November 1, 1990
PubMed
Summary
This summary is machine-generated.

A novel two-phase bioreactor model accurately predicts fluid dynamics. This hydrodynamic model, validated with experimental data, offers precise predictions for circulation velocity and hold-up in bioreactor design.

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Study of Siphon Breaker Experiment and Simulation for a Research Reactor
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Study of Siphon Breaker Experiment and Simulation for a Research Reactor

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Last Updated: Jul 4, 2026

Visualization of High Speed Liquid Jet Impaction on a Moving Surface
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Area of Science:

  • Chemical Engineering
  • Bioprocess Engineering
  • Fluid Dynamics

Background:

  • Two-phase bioreactors are crucial for various bioprocesses.
  • Understanding their hydrodynamic behavior is essential for optimization.
  • Existing models may not fully capture complex multi-phase flow dynamics.

Purpose of the Study:

  • To introduce a new two-phase bioreactor model.
  • To describe the hydrodynamic behavior of this novel bioreactor.
  • To validate the model's predictive accuracy.

Main Methods:

  • Utilized the two-phase drift-flux model by Zuber and Findlay.
  • Incorporated a friction coefficient derived from one-phase flow theory.
  • Estimated and photographically verified drop sizes for model calculations.

Main Results:

  • The model accurately predicts continuous-phase circulation velocity.
  • Dispersed-phase hold-up predictions show high accuracy (5% for pilot-scale, 10% for lab-scale).
  • Accuracy limitations were noted at very low flow ranges, particularly on lab scale.

Conclusions:

  • The developed model provides a reliable tool for predicting bioreactor hydrodynamics.
  • The model's accuracy supports its application in designing and scaling up two-phase bioreactors.
  • Further refinement may be needed for low-range, lab-scale operations.