>>10858575Engineers more often use semi-empirics, averaging and approximations, while mathematitians and physicians look for general, closed expressions.
Just a simple example: take a bowl of milk. The task is to find the time it takes for milk to spill over given a constant rate of milkflow per second Q and a given amount of bowl volume V.
The scientist's approach is to find a close and simple expression lile t = V/Q, such as given a flow Q of 0.1 L/s and a volume of 1 L, it takes 10 seconds to fill the bowl. Simple and easy.
The engineers approach is different.
What if the shape is such that the flow always spills due to the angle of attack? What if internal turbulences cause it to spill earlier? What if the bowl has internal standing waves whose crests spill over? Sooner than later, you have navier-stoke equations and perform a messy FEM simulation, derive multidimensional graphs and investigate every case the milk spills sooner than you think.
Not the best example but conveys the idea.
