What is the ratio of stagnation temperatures T0/T0* for a Rayleigh flow with k=1.4 at M=4.0?

Correct answer: 0.58909

Explanation

A quantitative question asking for the stagnation temperature ratio at a high supersonic Mach number, requiring data lookup from the Rayleigh flow tables.

Other questions

Question 1

What is the fundamental definition of Rayleigh flow?

Question 2

Which of the following equations represents the energy balance for a control volume in Rayleigh flow?

Question 3

On a Temperature-Entropy (T-s) diagram for Rayleigh flow, at what Mach number does the maximum entropy occur?

Question 4

What happens to the temperature of a supersonic flow (M > 1/sqrt(k)) in a Rayleigh flow process when additional heat is applied?

Question 5

For a Rayleigh flow with k=1.4, air enters a pipe at a Mach number of 0.25. The exit temperature is 400 K and the entrance temperature is 300 K. What is the approximate exit Mach number?

Question 6

In Rayleigh flow, what happens to the stagnation temperature when heat is added to the flow?

Question 7

What is the choking point in Rayleigh flow, and what does it signify?

Question 8

For a Rayleigh flow with k=1.4, if the Mach number is 3.0, what is the ratio of the static temperature to the star temperature, T/T*?

Question 9

In Example 10.2, heat is added to air until the flow is choked, with an exit temperature of 1000 K. How is the entrance stagnation temperature (T01) determined?

Question 10

If air with a Mach number of 3 enters a frictionless duct with heating, and a normal shock occurs immediately at the entrance, what is the Mach number just after the shock?

Question 11

What is the relationship between the temperature ratio (T2/T1) and the Mach number ratio (M2/M1) in Rayleigh flow?

Question 12

For Rayleigh flow with k=1.4, if the Mach number is 0.5, what is the stagnation temperature ratio T0/T0*?

Question 13

In Rayleigh flow, what happens to the static pressure as a subsonic flow (M < 1) is heated?

Question 14

What is the ratio of stagnation pressures P0/P0* for a Rayleigh flow with k=1.4 at a Mach number of 2.0?

Question 15

What happens to the stagnation pressure as a supersonic flow (M > 1) is heated in a Rayleigh flow process?

Question 16

The equation for the pressure ratio P*/P1 in Rayleigh flow is given as (1 + k*M1^2) / (1 + k). What does P* represent?

Question 17

In Example 10.1, with air entering a pipe at 3 bar and T=27C at M=0.25, what is the maximum temperature the air can reach before the temperature starts to decrease with further heating?

Question 18

What is the key difference in assumptions between Rayleigh flow and Fanno flow?

Question 19

For Rayleigh flow with k=1.4, calculate the pressure ratio P/P* for a Mach number of 0.70.

Question 20

In a Rayleigh flow process, what happens to the density of the gas as a subsonic flow (M < 1) is heated?

Question 21

What is the value of the density ratio rho*/rho for a Rayleigh flow with k=1.4 at a Mach number of 0.85?

Question 22

In the momentum balance equation for Rayleigh flow, A(P1 - P2) = m_dot(V2 - V1), what does the term A(P1 - P2) represent?

Question 23

If heat is added to a supersonic Rayleigh flow (M > 1), what happens to the Mach number?

Question 24

What is the value of the stagnation pressure ratio P0/P0* for a Rayleigh flow with k=1.4 at Mach 0.30?

Question 25

Why does the temperature decrease when heating a supersonic flow with M > 1/sqrt(k) in a Rayleigh process?

Question 26

What does the temperature ratio T2/T1 become in the limit as the Mach number approaches infinity (M approaches infinity) for k=1.4?

Question 27

For Rayleigh flow with k=1.4 and an inlet Mach number of 0.25, the exit pressure is 2.901 bar and the inlet pressure is 3 bar. The inlet total pressure P01 is 3.14 bar. What is the approximate exit total pressure P02?

Question 28

What is the maximum heat that can be added to an air stream entering at M=3 if the flow is to remain entirely supersonic (no shock)?

Question 29

According to the analysis in the chapter, is it possible for the stagnation temperature to remain constant across a normal shock wave?

Question 30

What is the physical meaning of the ratio of heat released Q/m_dot in Rayleigh flow?

Question 31

For a Rayleigh flow with k=1.4, what is the temperature ratio T/T* when M=1.2?

Question 32

In a supersonic Rayleigh flow (M > 1), what happens to static pressure as the gas is cooled?

Question 33

In the derivation of the Rayleigh line equations, the second law of thermodynamics is used to find an expression for the change in entropy. What is the resulting derivative ds/dM?

Question 34

For a Rayleigh flow with k=1.4, what is the density ratio rho*/rho at M=1.6?

Question 35

What is the relationship between the density ratio and velocity ratio in Rayleigh flow?

Question 36

In a Rayleigh flow process, what is the stagnation temperature T0* at the choking point (M=1)?

Question 37

If a flow enters a duct at M=0.34398 and T=584.6 K, and is heated until it chokes at an exit temperature of T*=1000 K, what was the total heat added per unit mass if Cp = 1.004 kJ/kgK?

Question 38

In a Rayleigh flow, what happens to the static temperature as a supersonic flow (1 < M < 1/sqrt(k)) is cooled?

Question 39

What is the pressure ratio P/P* for a Rayleigh flow with k=1.4 at M=2.5?

Question 40

Why is the Rayleigh flow model useful in practice, despite its idealised assumption of frictionless flow?

Question 42

How does the stagnation temperature ratio T0/T* relate to the static temperature ratio T/T*?

Question 43

What happens to the static pressure in a supersonic Rayleigh flow (M > 1) as it is heated?

Question 44

For a Rayleigh flow with k=1.4, what is the value for the density ratio rho*/rho at M=5.0?

Question 45

Can a subsonic Rayleigh flow be brought to a supersonic state by heating alone?

Question 46

What is the stagnation pressure ratio P0/P0* for k=1.4 at M=10.0?

Question 47

What is the value of the stagnation temperature ratio T0/T0* for k=1.4 as the Mach number approaches zero?

Question 48

Which property remains constant across a normal shock but changes during a Rayleigh process?

Question 49

For a Rayleigh flow with k=1.4, what is the temperature ratio T/T* at M=0.10?

Question 50

If a supersonic flow at M=3 is cooled in a Rayleigh process, what happens to its stagnation pressure?