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How to do Howarth–Dorodnitsyn transformation

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Old   November 8, 2019, 07:27
Default How to do Howarth–Dorodnitsyn transformation
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Hi everyone, I am now doing Howarth–Dorodnitsyn transformation from the compressible form to the incompressible form.

For example, from the conservations in the compressible form with the variables, how to get the incompressible form? I am confused with the detailed derivations of formulas.

Thank you
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File Type: png compressible form.png (8.1 KB, 7 views)
File Type: png variables.png (11.0 KB, 9 views)
File Type: png incompressible form.png (8.6 KB, 7 views)
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Old   November 8, 2019, 07:54
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Quote:
Originally Posted by xixiuqi View Post
Hi everyone, I am now doing Howarth–Dorodnitsyn transformation from the compressible form to the incompressible form.

For example, from the conservations in the compressible form with the variables, how to get the incompressible form? I am confused with the detailed derivations of formulas.

Thank you

I attach two pages from an italian Gasdynamic course, I hope you can understand
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File Type: pdf Pozzi A. -Gasdinamica-ST1.pdf (123.0 KB, 5 views)
File Type: pdf Pozzi A. -Gasdinamica-ST2.pdf (132.7 KB, 4 views)
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Old   November 8, 2019, 08:39
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Thank you Filippo. Actually it hard for me to read Italian. But I will try to figure out the equations. Besides, do you have some other materials about it?
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Old   November 8, 2019, 08:50
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have a look here



https://www.google.com/url?sa=t&rct=...pj9dFd_fP55T0g




the original references are here
https://en.wikipedia.org/wiki/Howart...transformation
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