Skip to content

Commit

Permalink
Some corrections to Docs in buoyancy
Browse files Browse the repository at this point in the history
  • Loading branch information
Mahesh Natarajan committed Nov 16, 2023
1 parent 4d6053f commit a89a48f
Showing 1 changed file with 0 additions and 23 deletions.
23 changes: 0 additions & 23 deletions Docs/sphinx_doc/theory/Buoyancy.rst
Original file line number Diff line number Diff line change
Expand Up @@ -7,29 +7,6 @@

.. _Buoyancy:

Density of the mixture
========================

The total density in a given cell is given by

.. math::
\rho = \frac{m}{V} = \frac{m_a + m_v + m_c + m_p}{V},
where :math:`m_a` is the mass of dry air, :math:`m_v` is the mass of water vapor, :math:`m_c` is the mass of liquid water, and :math:`m_p` is the mass of precipitate.
From the definitions of the mass mixing ratio (ratio of mass of a component to mass of dry air), we have for any component

.. math::
q_i \equiv = \frac{m_i}{m_a}.
Using this we can write

.. math::
\rho = m_a\frac{(1 + q_v + q_c + q_p)}{V}
= \rho_d(1 + q_v + q_c + q_p),
where :math:`\rho_d \equiv \cfrac{m_a}{V}` is the density of dry air.


Buoyancy
=========

Expand Down

0 comments on commit a89a48f

Please sign in to comment.