- Write the formula for the Reynolds transport theorem (RTT) equation.
- Label the terms for Accumulation, Generation, and transport in/out.
- Is the in/out term (in-out) or (out-in)?
- What direction does the normal vector point at a surface.
- Which side of the equation do we apply governing conservation laws to?
- Which side of the equation corresponds to the Eulerian control volume/surface?
- Write the Gauss Divergence Theorem.
- Derive the partial differential equation for mass conservation (continuity equation) using the RTT.
- Derive the partial differential equation for species mass conservation using the RTT.
- What are the three forces normally considered in the momentum equation?
- True or False: in general, it is possible to have $\int f(x)dx = 0$, with $f(x)\ne 0$.
- True or False: in general, if $\int f(x)dx=0$ for arbitrary integration bounds, then $f(x)=0$.
- True or False: tensors are to vectors like matrices are to arrays.