Rayleigh line

Question 1

Write down basic relations for the Rayleigh line

Question 2

Show that the flow parameters are critical in the utmost right point of the h-s diagram for a Rayleigh flow

Question 3

Determine the Mach number in the utmost top point of the h-s diagram for a Rayleigh flow

Question 4

Describe how the following parameters vary (increase, decrease, remain constant) along a Rayleigh line with
cooling: Mach number, velocity, temperature, pressure, stagnation pressure, enthalpy, entropy. Consider
subsonic and supersonic flows

Question 5

Derive relation of static pressure ratio in the inlet and outlet of a pipe with the heated flow

Question 6

Derive relation of static temperatures ratio in the inlet and outlet of a pipe with the heated flow

Question 7

Derive equation of stagnation pressure variation versus Mach number in a Rayleigh flow. Show that
stagnation pressure decreases with adding the heat in a subsonic and supersonic flow

Question 8

Explain why the entropy in the Rayleigh line can decrease. When it can occur

Question 9

Consider flow in a constant-area duct with friction and heat transfer. To maintain a constant subsonic Mach
number, should heat be added or removed

Question 10

Consider flow in a constant-area duct with friction and heat transfer. To maintain a constant supersonic
Mach number, should heat be added or removed