Talk:Double diffusive convection

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Equations are not in the referenced works[edit]

The equations in the section "Governing Equations" are not the same equations that are in the cited work, and seem wrong in several places. Perhaps due to copy&paste from different sources?

I propose removing the section "Governing Equations".

Some of the bits that seem wrong:

U is treated as a vector field in some parts ("div U = 0", scalar product in "U.grad(T)", etc) and as a scalar field in others ("gradU", there's a laplacian of U as well). U is defined as a scalar field ("U [is] the velocity component in horizontal direction").
The rank of the terms in the second equation is not the same. On the RHS, a scalar (?) field (lap U) is added to a vector field ("k" is defined as a vector).
W is defined just after the first set of equations, however, W doesn't appear anywhere in that set of equations.

In the cited work (Schmitt, R.W., 1979, doi:10.1016/0198-0149(79)90083-9), that first set of equations do not appear. The reference given for the second set of equations (Sreenivas, K.R., 2009, doi:10.1063/1.3070527) does not include those equations.

Joaosampaio (talk) 12:18, 17 December 2017 (UTC)[reply]

Yes, the equations have some problems. I think it is helpful to show the equations, so I propose fixing them rather than removing the section altogether.

U should really be replaced with a boldface v everywhere in the first set of equations, such as in the article on magnetohydrodynamics, and understood as a vector field whose components are U and W. If this change is made, then the dU/dt equation becomes a dv/dt equation where every term has the correct rank. Adr.Fraser (talk) 17:50, 14 July 2022 (UTC)[reply]