1. Hyperloop/Tube Flow Analysis
Bypass area / Tube area:
J. C. Chin, J. S. Gray, “Open-Source Conceptual Sizing Models for the Hyperloop Passenger Pod”,
56TH AIAA/ASCE/AHS/ASC STRUCTURES, STRUCTURAL DYNAMICS, AND MATERIALS CONFERENCE, 1-20

2. CONVERGING DIVERGING NOZZLE
M<1
Converging
Section
Diverging
Section
Hyperloop inlet flow can be approximated with the converging section of the converging diverging nozzle
Atube
Abypass
M<1
Mbypass

3. Steady Quasi 1-D Assumption
QUASI-1D FLOW EQUATION A1
Steady Quasi 1-D Assumption
Properties only depend on x A2
(1)
(2)
M<1
M2=bypass
P: Pressure
U: Velocity
T: Temperature
: Density
M: Mach Number
A: Area x
Conservation of Mass
Mach Number

4. MACH NUMBER AREA RELATION*
(1)
(2)
M<1
Isentropic Flow Equations M2 x
Substitute Isentropic Flow Equations into Equation *

5. MACH NUMBER AREA RELATION
Simplifying and assuming total properties do not change,

6. POD WITH COMPRESSOR