ESDU 74028
One-dimensional compressible gas flow in ducts.
Abstract:
ESDU 74028 gives curves and equations for use in the calculation of isentropic flow of a perfect gas; they are applicable to numerous practical situations. The curves are plotted for a range of ratios of specific heat capacities from 1 to 1.67 and for Mach numbers to unity. The equations can be applied to all Mach numbers provided no dissociation occurs. The conditions covered are 1. at a point in the flow, the ratio of static/total temperature, of static/total pressure, and of velocity/speed of sound in the gas brought isentropically to rest; 2. at a point in the flow, the ratios of kinetic/total pressure and of dynamic/kinetic pressure; 3. for the expansion of a gas through a nozzle with sonic flow at the throat, the ratio as a function of Mach number of the pressure, temperature and area at any point in the flow to the pressure, temperature and area respectively at the throat; 4. in the expansion from a reservoir, the ratio of density, temperature and velocity to the corresponding reservoir conditions as a function of pressure ratio and 5. three mass flow functions involving total pressure and temperature, total temperature but static pressure, and static pressure and temperature.Indexed under:
- Kinetic Pressure
- One-Dimensional Flow
- Stagnation Conditions
- Total Pressure
- Total Pressure Coefficient
- Total Temperature
- Universal Gas Constant
Details:
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This Data Item contains 23 interactive graph(s) as listed below.
| Graph | Title |
|---|---|
| Figure 1 | Ratio of static to total temperature |
| Figure 2 | Ratio of static to total pressure |
| Figure 3 | Ratio of local velocity to local 'total' speed of sound |
| Figure 4 | Ratio of kinetic pressure to total pressure |
| Figure 5 - Part 1 | Ratio of dynamic pressure to kinetic pressure |
| Figure 5 - Part 2 | Ratio of dynamic pressure to kinetic pressure |
| Figure 6 - Part 1 | Ratio of local pressure to pressure where M = 1 |
| Figure 6 - Part 2 | Ratio of local pressure to pressure where M = 1 |
| Figure 6 - Part 3 | Ratio of local pressure to pressure where M = 1 |
| Figure 7 - Part 1 | Ratio of local temperature to temperature where M = 1 |
| Figure 7 - Part 2 | Ratio of local temperature to temperature where M = 1 |
| Figure 8a - Part 1 | Ratio of local area to area where M = 1 (0.05 ≤ M ≤ 0.7) |
| Figure 8a - Part 2 | Ratio of local area to area where M = 1 (0.05 ≤ M ≤ 0.7) |
| Figure 8b - Part 1 | Ratio of local area to area where M = 1 (0.6 ≤ M ≤ 2.0) |
| Figure 8b - Part 2 | Ratio of local area to area where M = 1 (0.6 ≤ M ≤ 2.0) |
| Figure 8b - Part 3 | Ratio of local area to area where M = 1 (0.6 ≤ M ≤ 2.0) |
| Figure 9 | Isentropic expansion of air from rest |
| Figure 10 - Part 1 | Mass flow function |
| Figure 10 - Part 2 | Mass flow function |
| Figure 11 - Part 1 | Mass flow function |
| Figure 11 - Part 2 | Mass flow function |
| Figure 12 - Part 1 | Mass flow function |
| Figure 12 - Part 2 | Mass flow function |