Fluids II Test 2 Flashcards
At a point (x,y) is the net circulation per unit area around the point.
Vorticity
relates the pressure and gravitational forces acting on a differential fluid particle of an ideal fluid to its acceleration
Euler’s equations of motion
of a fluid element is defined by the average angular velocities of its two sides
rotation
is defined by the rate of change in shear strain, or the rate at which 90 degree angle between adjacent sides of the fluid element will change
angular distortion
The stream function psi(x,y) or the potential function phi(x,y) for a given flow, which satisfies both the continuity and the irrotational flow conditions, can be determined by integrating ______
Laplace’s differential equation
_______ can be applied between any two points (x1,y1) and (x2,y2) that are not necessarily located on the same streamline, provided the fluid is ideal and the steady flow is irrotational, that is w = 0.
Bernoulli equation
_______ satisfies the conditions of only irrotational flow
potential function
is a measure of the net flow around a boundary
circulation
the rate of _____ of a fluid element is defined by the velocity field, V = V(x,y,z,t)
translation
_____ is the equation that represents all the equations of the streamlines
stream function
every flow must satisfy the _____, but an ideal flow must also satisfy the conditions for incompressibility and irrotational flow
continuity condition
a set of both equipotential lines and streamlines form a ________
flow net
_____ lines are always perpendicular to streamlines at their points of intersection
equipotential
_____ or dilatation is measured by the change in volume per unit volume of the fluid element
linear distortion
since an ideal fluid is incompressible, the _____ for steady flow states that the rate of change in volume per unit volume for a fluid element must be zero
continuity equation