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Consider a propeller surrounded by a Control Volume, as shown in Fig. 2. If we wish to calculate the
thrust generated by the propeller by applying the Linear Momentum theorem, then we would need to
know the following data:
If one substitutes mass (M) for the extensive property B in the generic control volume equation
shown below:
then gets:
Consider the fluid having a uniform velocity V, flowing into the cylindrical tube with the cross
section area A, as shown in Fig. 6. The volumetric flow rate (Q) inside the tube can be calculated from:
The linear momentum theory is based on the conservation of:
Consider the flow depicted in Figure 2 below. If the flow is incompressible, then the velocity
variation of a particle moving along the streamline going through point A will follow the curve indicated
by:
A Canadian flag on top of a tower is blown by the wind as shown in Fig. 4. The wind speed is
constant and uniform, but the flag is “waving”, i.e. it exhibits a wavy motion. As such, it essentially
visualizes the flow behind the flag pole. In this case, the flow behind the flag pole is:
Fig. 3 below shows a boundary layer. Note that the edge of the boundary layer is shown by the
dashed line. In which portion of Fig. 3 is the flow uniform?
If we take a picture of the path of the ink, which we continuously inject into a river at a certain
point - at a location where the flow direction is varying with time - then we essentially record the:
For the wind turbine shown on Fig. 1, the Bernoulli Equation can be used between points:
A streamline is defined as: