Definitions and nomenclature Flashcards
What is dimensional analysis?
Using the fact that a physical problem needs to be dimensionally consistent
What is buck-pi and how is it used?
Explain how it is used in practice. A complex physical relation which is dependent on many parameters can be reduced to a relation that is dependent on dimensionless groups.
What is dynamic similarity
If two flows are dynamically similar we can directly compare one with the other. Allows for reduced or englarged prototype testing.
When are flow situations dynamically similar?
- The bodies and solid boundaries are geometrically similar.
- The similarity gourps are the same (pi-groups)
What is the reynolds number?
Re=rhoUL/mu
DensityFreestream Velocitycharacteristic lengths scale/ Dynamic viscosity
The ratio of inertia Forces divided by viscous forces.
Generally important for all types of fluid problems
What is the Froude number?
Fr=U/sqrt(g*L)
The ratio of inertia forces to gravitatonal forces.
Relevant in problems with flow with a free surface
definition of Euler Number
Eu=p/rho*U^2
Ratio of pressure forces to intertia forces
Relevant in problems where pressure or pressure differences are of interest.
definition of Cauchy Number
Ca=rho*U^2/E_v (E_v=Bulkmodulus)
Ratio of inertia forces and compressibility forces.
Flows in which compressibility of fluid is important.
definition of Mach Number
Ma=U/a (a speed of sound)
Ratio of inertia forces and compressibility forces.
Flows in which compressibility of fluid is important.
definition of Strouhal Number
St=omega*l/U
Local intertial forces/Convective inertia forces
For unsteady flow with a characteristic oscillation frequency.
definition of Weber Number
We=rhoU^2L/sigma (sigma surface tension)
Inertia forces/Surface tension forces.
Problems in which surface tension is important.
What are the aerodyanmic forces acting on an object?
- Lift= perpendicular to free stream
- Drag= Parallell to free stream
- Normal force= perpendicular to chord
- Axial force= Parallell to chord.
- Cross wind force (y-direction).
- Weight
- Thrust
What are the aerodynamic moments acting on an object?
Rolling moment (x-axis). Yawing moment (z-axis). Pitching moment (y-axis) Positive when it tends to want to pitch nose up.
definition ofCoefficient of lift?
C_L=L/(1/2rhoU^2*S)
C_l=L/(1/2rhoU^2*c) (lift/meter wing)
definition of Coefficient of drag?
C_D=D/(1/2rhoU^2*S)
C_d=D/(1/2rhoU^2*c)