Homework #1
ME 433
Turbomachinery
Using the following table as a guide describe the turbomachines which are pictured below: Describe the
direction of energy transfer (pumping or turbine). Describe the fluid (liquid or gas), Describe the flow
direction (axial, mixed, radial) and describe the mechanical arrangement.
(1) Describe the front and aft sections of this engine separately:
(2)
(3)
(4)
(5)
(6) Create a set of isentropic flow tables in a spreadsheet from M=0.1 to M=4 with spacing of
M=0.01. Have the ratio of specific heats, k, as a parameter at the top of the table, so that the
table can be used for different gasses and gas mixtures. The format of the table should be as
given below. Include area, pressure, temperature, and density in addition to mach number. As
partial set of answers is given below.
Mach
Number
Area
ratio
Temperature
Pressure
Density
(7) Create a set of normal shock tables, in the format given below, with the ratio of specific heats as
a parameter.
(8) Combustion gasses (k=1.333, R = Rair) traveling at M=0.8 have a measured total temperature of
500K, and a static pressure of 100 kPa. Determine the static temperature, the total pressure,
and the total and static density.
(9) Air expands from a reservoir of 2 MPa, 290 K to a back pressure of 100 kPa through a nozzle.
Determine the exhaust air velocity.
(10)Air is being compressed from 95 KPa and 15 C to 700 kPa at an inlet volumetric flow rate of 8
m3/min with a polytropic process (n=1.3). Cooling water of 14 kg/min through the compressor
jacket has a temperature rise of 5 C. If air velocity at the 8inlet is negligible but is 120 m/s at
discharge, determine the input power required.