Question and Answers Forum

All Questions      Topic List

Moderm Physics Questions

Previous in All Question      Next in All Question      

Previous in Moderm Physics      Next in Moderm Physics      

Question Number 116079 by Study last updated on 30/Sep/20

prove that Re=((ρ∙v∙d)/μ)     renulds number

$${prove}\:{that}\:{Re}=\frac{\rho\centerdot{v}\centerdot{d}}{\mu}\:\:\:\:\:{renulds}\:{number} \\ $$

Answered by Olaf last updated on 01/Oct/20

It suffices to resize the Navier−Stokes  equations. The dimensionless factor  ((ρvd)/μ) appears naturally. This is the  factor called Reynolds number.

$$\mathrm{It}\:\mathrm{suffices}\:\mathrm{to}\:\mathrm{resize}\:\mathrm{the}\:\mathrm{Navier}−\mathrm{Stokes} \\ $$$$\mathrm{equations}.\:\mathrm{The}\:\mathrm{dimensionless}\:\mathrm{factor} \\ $$$$\frac{\rho{vd}}{\mu}\:\mathrm{appears}\:\mathrm{naturally}.\:\mathrm{This}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{factor}\:\mathrm{called}\:\mathrm{Reynolds}\:\mathrm{number}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com