Partial Differential Equations in Two or More Dimensions

As time approaches infinity, the system reaches steady state and the summation terms in equation (3.2-5) become zero. The steady state velocity profile is then. vx* = 1 ( y* (3.2-6) The steady state solution can also be obtained directly from equation (3.2-4) by setting the temporal derivative equal to zeo. = 0 (3.2-7) ................
................