How would you use Bernoulli's and continuity eqn to find force lifting bird up?
Please explain.
The required force lifting the bird is
P = F/A
F = PA
here p is pressure
from the Bernoulis equation
P1 + 1/2 rho v1^2 + rho g h1 = P2 + 1/2 rho v2^2 + rho gh2
h1 = h2
P1 - P2 = 1/2 rho v2^2 - 1/2 rho v1^2
from the equation of continituty
A1 v1 = A2 v2
v2 = A1v1/A2
P1 - P2 = 1/2 rho ( v2^2 - v1^2) = 1/2 rho ((A1v1/A2)^2 - v1^2
then force
F = ( P1- P2) A
= (1/2 rho ((A1v1/A2)^2 - v1^2) A
How would you use Bernoulli's and continuity eqn to find force lifting bird up? Please explain.
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