An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels.¶
Reynolds, O. (1883). An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels. Philosophical Transactions of the Royal Society of London, 174, 935-982.
Cited by¶
4 citations across 4 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Dimensional Analysis
- Reynolds
Supported in partVerified against the publisher's abstract
Abstract says flow character depends on a combination of a fluid constant, length scale and velocity; it does not state geometric similarity at matched values across scales.
“the general character of the motion of fluids in contact with solid surfaces depends on the relation between a physical constant of the fluid and the product of the linear dimensions of the space occupied by the fluid and the velocity”
- Reynolds
- Flow
- The transition from orderly laminar flow to chaotic turbulent regimes is quantified by
This sourceIntroduces the dimensionless Reynolds number Re = ρVD/η governing the laminar-to-turbulent transition. Reynolds (1883) established the ratio of inertial to viscous forces predicting turbulence onset.
Supported in partVerified against the publisher's abstract
Reynolds's abstract states that a fluid's motion character depends on the relation between viscosity and (velocity x length), the criterion the claim invokes, but gives no threshold or number.
“that the general character of the motion of fluids in contact with solid surfaces depends on the relation between a physical constant of the fluid and the product of the linear dimensions of the space occupied by the fluid and the velocity.”
- The transition from orderly laminar flow to chaotic turbulent regimes is quantified by
- Turbulence
Mechanisms¶
- Dimensionless Ratio Construction
- So she constructs the Reynolds number, a dimensionless group formed from velocity, a characteristic length, and the fluid's density and viscosity, arranged so that all the units cancel and only a pure number remains.
This sourceConstructs the dimensionless flow ratio now called the Reynolds number from velocity, length, density, and viscosity.
- So she constructs the Reynolds number, a dimensionless group formed from velocity, a characteristic length, and the fluid's density and viscosity, arranged so that all the units cancel and only a pure number remains.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 2 of 4 citations: 2 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
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Registry ID ref:c5ff61f2f016 · see in the full table