# Non-dimensionalized sutherland law

**URL:** <https://pyfr.discourse.group/t/non-dimensionalized-sutherland-law/695>\
**Category:** Cases\
**Tags:** config, mesh, compressible\
**Created:** [26 September 2022 01:12 UTC](https://pyfr.discourse.group/t/non-dimensionalized-sutherland-law/695 "2022-09-26T01:12:59Z")\
**Posts on this page:** 1\
**Showing post:** 16

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**Author:** ![YoonSuKyung](https://avatars.discourse-cdn.com/v4/letter/y/5e9695/32.png) [@YoonSuKyung](https://pyfr.discourse.group/u/YoonSuKyung)\
**Post date:** [2 June 2023 06:31 UTC](https://pyfr.discourse.group/t/non-dimensionalized-sutherland-law/695/16 "2023-06-02T06:31:56Z")

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Hi Tarik

As your assumption, Reynolds number is set based on the freestream

Q1. Is the process of ensuring that Sutherland temperature is correct different from [3. Sutherland’s law for CO2] ?

Q2. Is it correct to use the dimensional value of temperature as shown (3.b) in Figure below?

Q3. Is the final value CpTref = 6.9392, CpTref = 6.90344 correct?  
If the setting is correct, the results of dimension and non-dimensional analysis will be compared.

Thank you so much for your answer.

 ![nondimensional_sutherland2](https://global.discourse-cdn.com/free1/uploads/pyfr/original/1X/db6d7a3c3b29e60f2b6b5a291f99775af3e4f488.png)

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