Recent content by binbagsss

What is meant by axially sorry? thanks.

what about the case of immiscible layers?

thank you, what about the case of amplitude similar to the height of the channel but a large period. And what about case 2? e.g. with the case of differing densities with the heavier layer on top, wouldn't one expect some vertical movement downward to displacing the lighter under layer? thanks

vertical is given since the plates are infinite length and i've specified their direction the set-up is in horizontal alignment. the distance does not vary. one would just assume a traditional couette flow if nothing else is specified? unsure on the last question re. a boundary, i said of...

These are probably a stupid questions. For Couette planar flow with horizontal infinite length plates, the top one moving with a constant velocity in the horizontal direction, with a single layer, one assumes there is only velocity in the horizontal direction. 1)In the case of Couette...

i thought double creates a new line. anyway, it wont let me edit it now.

i didn't, it just created it on a new line and i didnt want that.

I have an observable denoted by C, related to a complex potential B by : ## C= \bar{B}B ,## where ##B## is a complex potential. I know that ## \left. C \right|_0 =C_0 ##, a known constant, where the evaluation at ##_0## denotes an equilibrium \ reference state. From this, I can not make any...

in terms of the equations sorry, not physically, thanks

How does a free surface flow cause non-linearity , is it through the boundary conditions ? Which one and how ? Thanks

apologies yes I should have added that.

In fluid mechanics, it is sometimes useful to present the velocity, ##U## in terms of a scalar potential ##\Phi## as:##\vec{U}=\nabla \phi## ##U## has 3 dof. ##\phi## has 1.If asked why this works, in terms of a dof argument, why is this?e.g . compared to GR common decomposition of the Riemann...

Yeh, apologies was just trying to edit the format now- need to familiarise myself with the phantom command for index spacing (just need some chicken first, too much running). I don't have a background in differential forms, but I think a tensor can only be written as a p-form if it is...

I am reading a article that defines a L, R acting Hodge dual denoted by * as: $$R^{*\alpha \mu \kappa \rho}=\epsilon^{\alpha \mu \nu \lambda}R_{\nu \lambda \kappa \rho},$$ contracting over the first two indices (and similar definition for #*^R^{\alpha \mu \kappa \rho} # contracting over the...

which uses the definition of the Riemann tensor. my question was answered, as I said.