1Are All Of These Terms Important?rzryrxFguzpavudtdwFuypavwaudtdvFwvxpauwauvdtdu+−Ω+∂∂−=+−+Ω−∂∂−=+++Ω−Ω+∂∂−=+−φρφρφφφρφcos21sin21tancos2sin21tan222Scale Analysis•Goal: To determine relative importance of the terms in the basic equations for particular scales of motion.•Approach: Estimate the following quantities1) The magnitude of the field variables.2) The amplitudes of fluctuations in the field variables. (Used to estimate derivatives.)3) The characteristic length, depth and time scales on which these flucutations occur.
has intentionally blurred sections.
Sign up to view the full version.