A Student's Guide to Dimensional Analysis by Don S. Lemons

Author:Don S. Lemons [Lemons, Don S.]
Language: eng
Format: epub
Tags: Mathematics, Measurement, Science, Physics, Mathematical & Computational, General
ISBN: 9781107161153
Google: XTEoDgAAQBAJ
Amazon: 1107161150
Publisher: Cambridge University Press
Published: 2017-03-15T16:00:00+00:00

Essential Ideas

Dimensional models of incompressible fluids introduce the dimensional variables mass density ρ, flow speed υ, and pressure p as well as surface tension σ and viscosity μ. The Reynolds number is a dimensionless product that when relatively small produces laminar flow and when relatively high produces turbulent flow.

Problems

3.1 Capillary waves. The context is Sections 3.2 and 3.3. Use the Rayleigh algorithm to show that the speed υ of a capillary wave with wavelength λ in an compressible fluid with mass density ρ and surface tension σ is given by where C is an undetermined dimensionless number.

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