Fluid Mechanics

Control Volume

Eulerian - Fixed region of space that fluid flows in or out of

Material Volume

Lagrangian - fixed body of fluid, moves with flow deforming as necessary

Bernoulli Assumptions

Steady, Incompressible, Irrotational

Stagnation Pressure

pressure obtained for a flow brought to rest isentropically at z=0

Streamline

curve parallel to velocity at all points

Streakline

line made up off all particles to pass through a particular point

Pathline

Path taken by an individual particle through the fluid

Stagnation Point

point in flow with zero velocity

steady 2D incompressible potential flow

potential flow with zero vorticity and constant stream function

R

Cp-Cv

isentropic

constant entropy along a streamline

Skin-friction co-efficient Cf

\tau_w/0.5\rho U²

Drag on Flat Plate

\rho U²\theta

Bernoulli

p_0^*=p+0.5\rho U²+\rho gz

Circulation, \Gamma

2\pi k