Problem Statement:
A rocket nozzle has an exit/throat area ratio of 3. The combustion gas mixture at 20 bar and 2500 K is expanded through the nozzle to an atmosphere at 1 bar.The molar mass of the gas
mixture is 33.5 kg kmol−1 and 𝛾 =1.2. Assuming the flow process to be isentropic, estimate the
momentum thrust generated by the nozzle per unit area.
Solution:
The formula for pressure ratio is PR = P2c / P1c, where P2c is the absolute outlet pressure and P1c is the absolute inlet pressure. Pressure ratio is a variable equation that combines atmospheric pressure with gauge pressure. It helps determine where a compressor will perform its duty cycle.
Equation 2:
Mass Flow Rate Formula:
In physics and engineering, mass flow rate is the rate at which mass of a substance changes over time. Its unit is kilogram per second (kg/s) in SI units, and slug per second or pound per second in US customary units. The common symbol is m˙ (ṁ, pronounced “m-dot”), although sometimes μ (Greek lowercase mu) is used.
Sometimes, mass flow rate as defined here is termed “mass flux” or “mass current”.[a] Confusingly, “mass flow” is also a term for mass flux, the rate of mass flow per unit of area.[2]
Formulation
[edit]
Mass flow rate is defined by the limit[3][4]m˙=limΔt→0ΔmΔt=dmdt,
![In physics and engineering, mass flow rate is the rate at which mass of a substance changes over time. Its unit is kilogram per second (kg/s) in SI units, and slug per second or pound per second in US customary units. The common symbol is m
˙
{\displaystyle {\dot {m}}} (ṁ, pronounced "m-dot"), although sometimes μ (Greek lowercase mu) is used.
Sometimes, mass flow rate as defined here is termed "mass flux" or "mass current".[a] Confusingly, "mass flow" is also a term for mass flux, the rate of mass flow per unit of area.[2]
Formulation
Mass flow rate is defined by the limit[3][4]
m
˙
=
lim
Δ
t
→
0
Δ
m
Δ
t
=
d
m
d
t
,](https://i0.wp.com/todocalculator.com/wp-content/uploads/2024/11/Screenshot-2024-11-29-124729.png?resize=300%2C148&ssl=1)
m
˙
{\displaystyle {\dot {m}}} (ṁ, pronounced “m-dot”), although sometimes μ (Greek lowercase mu) is used.
Sometimes, mass flow rate as defined here is termed “mass flux” or “mass current”.[a] Confusingly, “mass flow” is also a term for mass flux, the rate of mass flow per unit of area.[2]
Formulation
Mass flow rate is defined by the limit[3][4]
m
˙
=
lim
Δ
t
→
0
Δ
m
Δ
t
=
d
m
d
t
,