rrtheta

Compute relative temperature ratio

Syntax

``th = rrtheta(t0,mach,g)``

Description

example

````th = rrtheta(t0,mach,g)` computes temperature relative ratios, `th`, from static temperatures `t0`, Mach numbers `mach`, and specific heat ratios `g`. `t0` must be in kelvin.```

Examples

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Determine the relative temperature ratio for three temperatures.

`th = rrtheta([273.15 310.9278 373.15], 0.5, 1.4)`
```th = 1×3 0.9953 1.1330 1.3597 ```

Determine the relative temperature ratio for three temperatures at three different conditions.

`th = rrtheta([273.15 310.9278 373.15], [0.5 1 2], [1.4 1.35 1.4])`
```th = 1×3 0.9953 1.2679 2.3310 ```

Determine the relative temperature ratio for three temperatures and three different heat ratios.

`th = rrtheta([273.15 310.9278 373.15], 0.5, [1.4 1.35 1.4])`
```th = 1×3 0.9953 1.1263 1.3597 ```

Input Arguments

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Static temperatures, specified as a scalar or vector in kelvin.

Example: `[1.4 1.35. 1.4]`

Data Types: `double`

Mach numbers, specified as a scalar or vector.

Example: `[0.5 1 2]`

Data Types: `double`

Specific heat ratios, specified as a scalar or vector.

Example: `[0.5 1 2]`

Data Types: `double`

Output Arguments

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Relative temperature ratios, returned as a scalar or vector.

Limitations

For cases in which total temperature ratio is desired, that is, the Mach number is nonzero, the total temperature is calculated assuming perfect gas (with constant molecular weight — with constant pressure specific heat, and constant specific heat ratio — and dry air.

References

[1] Pratt & Whitney Aircraft. Aeronautical Vestpocket Handbook. United Technologies, August 1986.

Version History

Introduced in R2006b