True; the calculation is completed in the handout. The handout is available at a link that is listed in the video description above.
As requested, a multiple-unit process with no reaction. Best wishes, Prof. Morrison
How to model complex systems with multi components (soil plus water) is a very advanced topic. I suggest you go directly to the literature on soil mechanics, which will include granular flow. The microscopic balances can handle both steady and unsteady flows, constant density and non-constant density fluids. If you write balances on a two component system (water, dry soil) you may find success. An alternative approach would be to use a time-dependent density for the wet soil. Good luck!
If the plate is not wide, you need to specify what is going on at the edges, i.e. no-slip at a wall, or fluid falling over an edge. This makes it a much more complex problem that you would probably only solve numerically with a program like Comsol, for example. The equations to solve are set up the same way.
Yes I do. I just added it to the description of this video.
No, only a small number fail those courses at Michigan Tech.
This analysis can be used in a wide variety of problems. The example shows the MEB applied to one case. In other cases, different terms are zero and the problem turns out differently.
The energy equation is the microscopic balance because it is derived by doing a balance on a microscopic control volume that is located at an arbitrary position within the domain, in our case within the slab. A macroscopic balance would now allow us to calculate the variation of temperature but could only get us macroscopic fluxes.
If I understand your question correctly, you have the b-side open to air (and the pressure at the top is Patm) and the a-side open to some other pressure Pa. If you do it my way, you get rho*g*h+Patm=Pa. In this case Pa is the absolute pressure. If you do it your tutor's way and say the pressure at the top is zero (gauge pressure), then you get rho*g*h=Pa but now Pa is in gauge pressure. In typical gauges, they read zero when open to atmosphere.