# Accession Number:

## AD0415308

# Title:

## ENERGY TRANSFER IN ROTATING FLUIDS BY REFLECTION OF INERTIAL WAVES,

# Descriptive Note:

# Corporate Author:

## JOHNS HOPKINS UNIV BALTIMORE MD

# Personal Author(s):

# Report Date:

## 1962-11-13

# Pagination or Media Count:

## 8.0

# Abstract:

If inertial waves in a uniformly rotating fluid reflect from a rigid plane surface, it is shown that the magnetudes of the incident and reflected wavenumbers are generally unequal. The reflection process thus provides an interchange of energy among different scalar wavenumbers k. In an inviscid fluid, the ratio alphaKk is conserved on reflection, where alpha is the particle orbit speed associated with the wavenumber k. In a viscous fluid the reflection coefficient is generally 1 -- OR12, where R is the wave Reynolds number 2 omegavk2, though there is an exceptional case in which the incident energy flux is totally absorbed. When the fluid is contained in a large rotating box of general shape, the energy interchanges from repeated reflections can result in a statistical radiative equilibrium over the high wavenumbers. A dynamical equation is derived that species E upsilonk, the energy distribution among wavenumbers inclined at an angle upsilon to the rotation vector. An approximate solution shows that E upsilonk is constant when k kv omegavL13, where L is the size of the domain. When k kv, the spectrum decreases exponentially. Author