The incorrect statement regarding Helmholtz theorems is____

Describes vortex behavior

Valid for all inviscid flows

Remains constant along vortex filament

Vortex filament forms a closed loop or extends till the boundaries of the fluid

Correct Answer : Valid for all inviscid flows

Explanation : The Helmholtz theorems are valid for inviscid, incompressible flows and describe the vortex behavior. According to these theorems, the strength of vortex filament is constant along its length and a vortex filament cannot end in a fluid. According to the latter one, the filament must form a closed loop or extend till the boundaries of the fluid.

Recently Updated in Aerodynamics Questions

Is loading distribution is represented by the sum of finite number?

True

False

Can Not Say

None of the above

Correct Answer : Option (A) : True

Explanation : In the collocation solution of the basic integral equation, the loading distribution is represented by the sum of a finite number of known functions with unknown coefficient substituting the loading representation into their result.

Is it difficult to predict the analytically overall amount of lift?

True

False

Can Not Say

None of the above

Correct Answer : Option (A) : True

Explanation : It is difficult to predict analytically the overall amount of lift that a wing of given geometry will generate. The lifting line theory yields the lift distribution along the span wise direction based only on the wing geometry and flow conditions.

Is prandtl lifting line theory is a mathematical model that predicts lift distribution over a three-dimensional wing?

True

False

Can Not Say

None of the above

Correct Answer : Option (A) : True

Explanation : The prandtl lifting line theory is a mathematical models that predicts lift distribution over a three dimensional wing based on its geometry. It is also known as the lanchester-prandtl wing theory. It was used to calculate lift on the wing.