CE 3305 Engineering Fluid Mechanics
Spring 2023 Exercise Set 11

LAST NAME, FIRST NAME

R00000000


Purpose :

Application of bernoulli's equation and momentum balance.

Assessment Criteria :

Completion, plausible solutions, use of Excel/JupyterLab and/or a calculator.


Problem 1.

The figure is a schematic of a horizontal water jet from a tank at 70 $^oF$ exits from a circular orifice and strikes a vertical plate that is normal to the axis of the jet.

A 600 lbf force is required to hold the plate in place against the jet; the pressure in the tank at point A is 25 psig. What is the diameter of the jet downstream of the orifice?

In [7]:
# sketch here
In [8]:
# list known quantities
In [9]:
# list unknown quantities
In [10]:
# governing principles
In [11]:
# solution (step-by-step)
In [12]:
# discussion

Problem 2

The figure is a schematic of a turbofan engine. On an airframe the engine takes in air, a portion of which passes through the compressor into the combustion chamber where fuel is added and ignited, and out through the turbine; the remainder of the air bypasses the compressor and is accelerated by the fans. The mass flow rate of bypass air to the mass flow rate through the compressor-combuster-turbine path is called the “bypass ratio.” The total flow rate of air entering the turbofan engine is 412 kg/s with a velocity relative to the engine of 400 m/s. The engine has a bypass ratio of 6.1:2. The bypass air exits at 660 m/s, whereas the air through the compressor-combustor-turbine path exits at 990 m/s.

Determine:

  • The thrust (in Newtons) generated by the turbofan engine
In [7]:
# sketch here
In [8]:
# list known quantities
In [9]:
# list unknown quantities
In [10]:
# governing principles
In [11]:
# solution (step-by-step)
In [12]:
# discussion