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Related Concept Videos

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.
Control Volume and System Representations01:16

Control Volume and System Representations

Two key frameworks are employed to analyze mass, energy, and momentum transfer: the control volume approach and the system approach. These frameworks offer different perspectives, depending on whether the focus is on a specific region in space (control volume approach) or a defined mass of fluid (system approach).
The control volume approach considers a stationary region in space through which fluid flows. This region is bounded by a control surface.  For instance, in the case of water flowing...
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit mass.
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.
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
Couette Flow01:22

Couette Flow

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...

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Doping-controlled ion diffusion in polyelectrolyte multilayers: mass transport in reluctant exchangers.

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The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

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Published on: May 1, 2018

Rotational hydrodynamic diffusion system to study mass transport across boundaries.

Sai Sree Mamidi1, Bo Meas, Tarek R Farhat

  • 1Department of Chemistry, Analytical Division, University of Memphis, Memphis, Tennessee 38152-3550, USA.

Analytical Chemistry
|October 11, 2008
PubMed
Summary

A new Rotational Hydrodynamic Diffusion System (RHDS) offers enhanced mass transport for laboratory analysis and industrial separation. This technique achieves higher molecular flux across membranes compared to static methods.

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Area of Science:

  • Mass transport phenomena
  • Analytical chemistry
  • Separation science

Background:

  • Classical mass transport detection methods like static two-half-cell (THC) have limitations.
  • Existing separation techniques (pressurized, agitated, electrodialysis, reversed osmosis) have distinct theoretical and design principles.
  • Electrochemical techniques, while informative, do not cover all mass transport studies.

Purpose of the Study:

  • To introduce and describe the design and operation of a novel mass transport technique: the Rotational Hydrodynamic Diffusion System (RHDS).
  • To demonstrate RHDS's potential for both analytical laboratory analysis and industrial-scale separation and purification.
  • To explore RHDS as a viable alternative to existing mass transport detection methods.

Main Methods:

  • RHDS concept derived from hydrodynamic rotating disk electrode voltammetry.
  • Theoretical analysis of rotational hydrodynamic flux.
  • Experimental validation using various ionic solutions (HCl, KCl, KNO 3, Ni(NO 3) 2, LiCl, camphor sulfonic acid, K 3Fe(CN) 6) and ultrathin membranes (Nucleopore, 6.0 and 10 µm thickness, 0.1 and 0.2 µm pore size).

Main Results:

  • RHDS demonstrates a diffusion advantage, yielding higher probe molecule flux across boundaries with increased rotation rates compared to static THC.
  • The system's separation concept differs fundamentally from pressurized, agitated, electrodialysis, and reversed osmosis methods.
  • Effective diffusion coefficients for salts across specified Nucleopore membranes were determined and discussed.

Conclusions:

  • RHDS presents a novel approach to studying mass transport properties of diverse molecules.
  • The technique's ability to enhance flux and its distinct separation mechanism make it a promising alternative to classical methods.
  • RHDS shows potential for broad application in analytical and industrial settings for separation and purification.