Find the Mass Flow Rate Through the Nozzle

Click For Summary
SUMMARY

The discussion focuses on calculating the mass flow rate of helium gas through a nozzle using the ideal gas model. The inlet conditions are specified as 550°R and 150 ft/s, while the exit conditions are 400°R and 40 lbf/in² with an exit area of 0.0085 ft². The mass flow rate is determined using the equation m' = ρvA, where ρ is the density of the gas, v is the velocity, and A is the area. The specific heat ratio k = 1.67 is crucial for understanding the thermodynamic properties of helium in this context.

PREREQUISITES
  • Understanding of ideal gas laws and equations
  • Knowledge of specific heats and their significance in thermodynamics
  • Familiarity with fluid dynamics concepts, particularly mass flow rate
  • Basic principles of thermodynamics, including the significance of the specific heat ratio (k)
NEXT STEPS
  • Study the derivation and application of the ideal gas law in fluid dynamics
  • Learn how to calculate density (ρ) of gases under varying conditions
  • Explore the relationship between specific heats (Cp and Cv) and their impact on gas behavior
  • Investigate the implications of nozzle design on mass flow rates in compressible flows
USEFUL FOR

Students in mechanical engineering, aerospace engineering, or anyone involved in thermodynamics and fluid mechanics, particularly those working on gas flow applications and nozzle design.

Northbysouth
Messages
241
Reaction score
2

Homework Statement


Helium gas flows through a well-insulated nozzle at steady state. The temperature and the velocity at the inlet are 550°R and 150 ft/s, respectively. At the exit, the temperature is 400°R and the pressure is 40 lbf/in2. The area of the exit is 0.0085 ft2. Using the ideal gas model with k = 1.67, and neglecting potential energy effects, determine the mass flow rate in lb/s through the nozzle


Homework Equations





The Attempt at a Solution



My initial response is to use:

m' = ρvA

but I'm not sure if this is how they want me to find the answer. My professor mentioned:

Cp - Cc = R

Is this referring to specific heats?

My notes also say Cp is constant. What is this referring to? Likewise, what is the significance of the k=1.67?
 
Physics news on Phys.org
k is the ratio of specific heats of the gas:

k = Cp/Cv
 
What is the significance of giving me the ratio of the specific heats of the helium?
 

Similar threads

What Is the Mass Flow Rate at Exit in a Steady Flow System?
  • · Replies 1 ·
Replies
1
Views
2K
Find Mass Flow Rate and the Exit Flow Area
  • · Replies 3 ·
Replies
3
Views
6K
Mass flow rate through De Laval Nozzle
  • · Replies 1 ·
Replies
1
Views
5K
Help with flow rates / mass flow rates.
  • · Replies 17 ·
Replies
17
Views
3K
Mechanics -- Converting volumetric flow rate to nozzle velocity
  • · Replies 6 ·
Replies
6
Views
5K
Flow rate of air through constriction
  • · Replies 10 ·
Replies
10
Views
4K
Calculating Mass Flow Rate of Nitrogen at 0.3m^3/s
  • · Replies 1 ·
Replies
1
Views
2K
Coolant Mass Flow Rate Through Subchannel in Nuclear Fuel Assembly
  • · Replies 1 ·
Replies
1
Views
2K
Calculating Flow Rate & Pressure for Coriolis Mass Flow Meter
  • · Replies 2 ·
Replies
2
Views
3K
Thermal, steady-flow, table, continuity
  • · Replies 2 ·
Replies
2
Views
2K