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Related Concept Videos

Energy Conservation and Bernoulli's Equation01:16

Energy Conservation and Bernoulli's Equation

Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
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Fluid Movement Between Compartments

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Bernoulli's Equation00:59

Bernoulli's Equation

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Open channel flow, where a fluid flows with a free surface exposed to the atmosphere, is primarily governed by gravitational and surface effects, distinguishing it from closed conduit or pipe flow. In open channels such as rivers, canals, and artificial channels, energy analysis provides valuable insights into flow behavior and the relationship between depth, velocity, and slope.Specific Energy and Flow DepthIn open channel flow, the specific energy, E, combines the gravitational potential...
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Reynolds Transport Theorem

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Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions
08:41

Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions

Published on: September 7, 2018

Energy constrained transport maximization across a fluid interface.

Sanjeeva Balasuriya1, Matthew D Finn

  • 1Department of Mathematics, Connecticut College, New London, Connecticut 06320, USA. sanjeevabalasuriya@yahoo.com

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study optimizes fluid transport across interfaces for microfluidic and nanofluidic applications. It reveals an optimal strategy for maximizing fluid mixing within a set energy budget.

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Last Updated: May 18, 2026

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High Speed Droplet-based Delivery System for Passive Pumping in Microfluidic Devices

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Area of Science:

  • Fluid dynamics
  • Microfluidics
  • Nanofluidics

Background:

  • Enhancing mixing is crucial for micro- and nanofluidic applications.
  • Efficient fluid transport across interfaces is a key challenge.
  • Understanding energy-constrained transport dynamics is essential for device design.

Purpose of the Study:

  • To determine the optimal strategy for maximizing fluid transport across a fluid interface.
  • To investigate this optimization under a defined energy budget.
  • To develop explicit protocols for achieving optimal fluid transport.

Main Methods:

  • Utilized an Euler-Lagrange constrained optimization approach.
  • Derived the optimum cross-interface perturbing velocity for time-periodic cases.
  • Conducted numerical investigations to calculate transferred lobe areas and cross-interface flux.

Main Results:

  • The optimal cross-interface perturbing velocity was explicitly obtained.
  • Numerical simulations verified the predicted strategy for optimum transport.
  • The study identified explicit active protocols to achieve this optimal transport.

Conclusions:

  • The developed strategy effectively maximizes fluid transport across interfaces within energy constraints.
  • This research provides a theoretical and practical framework for optimizing mixing in micro/nanofluidic devices.
  • Explicit protocols offer a pathway for implementing enhanced fluid manipulation in micro/nanoscale systems.