Timeline for Freedoms in non-dimensionalization of Navier-Stokes equation and their usage in normalization
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 4, 2023 at 13:48 | history | edited | Kyle Kanos | CC BY-SA 4.0 |
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| Jun 4, 2023 at 13:42 | comment | added | Kyle Kanos | I doubt you'd be able to find a case where your system of equations allows for more reduced variables at the cost of inconsistent scales. It's a lot easier to just fully eliminate the scales. | |
| Jun 3, 2023 at 18:32 | comment | added | James | I thought of it because I was wondering if doing that can allow me to bring more quantities between 0 and 1. | |
| Jun 3, 2023 at 15:55 | history | edited | Kyle Kanos | CC BY-SA 4.0 |
added 47 characters in body
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| Jun 3, 2023 at 15:49 | comment | added | Kyle Kanos | The ideal goal of nondimensionalization is to have an identical formula after removing the scales; having $\eta\neq1$ defeats that ideal. In principle, you could handle that in your numerical solvers or analytic system, but why would you carry an additional term that you can set to 1 and not carry it? | |
| Jun 3, 2023 at 4:14 | comment | added | James | Thanks for the answer. What would go wrong if the non-dimensional equation has a different form? The equation with $\eta\neq1$ can still be solved and I can still get back the solutions by multiplying the non-dimensional solutions I obtain from the equation and then multiplying the non-dimensional variable with their dimensionful counterpart, right? | |
| Jun 2, 2023 at 21:01 | history | answered | Kyle Kanos | CC BY-SA 4.0 |