Referring to figures below, and to the general conservation equation {[input]- [output] + [sources] - [sinks] =
Question:
Referring to figures below, and to the general conservation equation {[input]- [output] + [sources] - [sinks] = [accumulation]}, write the appropriate term for:
a) The SOURCE of momentum in the differential volume element shown in figure 2.1d as a result of a force, F, applied uniformly to the volume element.
b) The ACCUMULATION of the mass of A (mA) in the differential volume element shown in figure 2.1a.
c) The IN-OUT terms for the convective transport of the moles of 'A' in the differential volume element shown in fig 2.1b.
d) The SOURCE of energy due to an exothermic chemical reaction (heat of reaction = ΔHr, reaction rate = RAV in moles/vol-t) for the differential volume element in figure 2.1c
e) The ACCUMULATION of the moles of species A for the differential volume element in figure 2.1c
BE SURE TO CLEARLY IDENTIFY THE NOMENCLATURE YOU USE.
Steady-state energy transport in a solid rod of radius R and length L, with a perfectly insulated cylindrical surface which is at steady-state with one end at T1 and the other end at T2 (T1 > T2)
a) Provide a sketch of the physical problem and draw the appropriate Differential Volume Element (DVE) within the sketch, labeling all its dimensions and showing where it is located relative to your coordinate system.
b) Label the DVE and show the directions of all fluxes in and out of the DVE
c) Write the appropriate expression(s) for each of the five terms of the general conservation equation.
d) Starting with the results in (c), show ALL steps in deriving the applicable differential equation for this physical situation
3. Repeat the previous problem given the following physical situation:
Expert Answer:
