The Mach number, *Ma*, is the velocity of the gas divided by the velocity of the sound in the gas and can be expressed as:

(4-129)

The exit Mach number for compressible isothermal fluid has been shown to be *Ma* ≠ 1, but , where *k* is the ratio of the fluid-specific heat capacitites at constant pressure to that at constant volume. Table 4-23 shows the *k* values for some common gases. The following cases are such:

1.

(4-129a)

2.

(4-129b)

3.

(4-129c)

Case 3 is produced under certain operating conditions ...

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