• The kinetic energy of a unit volume of air
• q
• q=ro*(v^2)/2 (incompressible)
• q=gamma*p*(M^2)/2 (compressible)

Incompressible- assumes that ro is constant along a streamline

V<40%*a

compressible- Assumes that ro changes along a streamline

V>40%*a

P = ro*R*T

R= gas constant

A representative set of atmosphere conditions for computational purposes. Represents pressure, density and temperature at sea level 

p(s) = 101,325 N/m^2 = 2116.2 lb/ft^2

ro(s) = 1.2250 kg/m^3 = 0.002377 slugs/ft^3

T(s) = 288.16 K = 518.69 R

The force that points up due to displacement of fluid

F(b) = ro*Volume

S(1)*v(1)= S(2)*v(2)  (incompressible)

ro(1)*S(1)*v(1)= ro(2)*S(2)*v(2) (compressible)

basically means air in a streamline can't be destroyed, the toal mass going in and out must be the same at every instance 

v(2) = v(1)*(S(1)/S(2))

P(2) + (ro*(v(2)^2)/2) = P(1) + (ro*(v(1)^2)/2)  = B

^^incompressible

Also know compressible- too long to type. 

(gamma/gamma-1)(P(t)/ro(t))....

static pressure+dynamic pressure (incompressible)

P(0) (1 + ((gamma-1)*(M(0)^2))/2)^

(gamma/(gamma-1)) 

^^(compressible)

measures total (stagnation) pressure 

pitot-static can measure static pressure as well, allowing dynamic pressure and velocity to be calculated

p(1) - p(2) = w*dh

adiabatic - a process in which no heat is added or taken away. dQ=0

reversible - a process in which no frictional or other dissibpatice effects occur

isentropic - a process that is both adiabatic and reversible

varies with temperature of the air

a = sqrt(gamma*R*T)

a = velocity/M

Use this to find stagnation conditions

Velocity/a

to speed something up subsonically, use a convergent duct

to speed something up supersonically, use a divergent duct

uniform flow |||||||||

circular flow (O)

             v

sink flow  -> o <-

             ^

                ^

source flow <-o->

                v       

we are permitted to superimpose simple flow patterns to create complex flow by the Principle of superposition

-simple flows can be combined together provided that the addition is done vectorically

Γ=Velocity*2*pi*r (for a line)

Γ=Velocity*4*pi*r (for a half line)

♠♦♥♣

training edge is sharp and therefore, stagnation pt is at trailing edge 

Keeps circulation high which leads to more lift 

the downward velocity component of downwash