Consider the energy equation involving the time rate of change of the total pressure dyad P, derived in problem 9.6 in Chapter 9. Show that when this equation is contracted with t he unit dyad 1 results in (1.21) , whereas when contracted with the dyad BB yields (1.22).

Equations

Data from Problem 9.6.

Derive an energy equation, of higher order than (4.14), involving the total time rate of change of the total pressure dyad, that is, DP/Dt.

Equation 4.14

Transcribed Image Text:

D (2p₁ + p₁) + (p₁ + 4p₁)▼ ·u+2(p₁ − p₁)(· V). u=0 (1.21) Dt