North American P-51 Mustang Project: Ordinates

NAA P-51 B/C/D Mustang

This is one of those projects that gets started and then for some reason gets put on the back-burner until now. One of the key reasons was due to the challenge of obtaining a good surface representation for the lower cowling for the P-51 B/C where I was having problems with the duct intake profile.

As usual I started with listing the ordinates in a spreadsheet and converting these to millimeters and extracting the X,Y.Z coordinates for further work in CAD.

I prefer to work in millimeters as I know that at so2015-05-30_19-31-32me stage the end profile may need micro adjustment which is so much easier to do using millimeter units.

This is a scrap view from the NAA drawing showing the ordinates table and the contours.

Thankfully for this part most of the ordinates were quite legible with only a few requiring interpolation; which would be done as a consequence of developing the data in CAD.

As it turns out there were a few orphaned ordinates that for some unknown reason did not align with the CAD developed surfaces; so these were simply ignored instead of trying to invent a purpose for them being there!

2015-05-30_20-39-59The drawing (right) shows the end result of transferring the spreadsheet data into a CAD product. This drawing is simply a record of the translation process and surmises the ordinates in relation to the Thrust line and Fuselage Reference line.

The main body of the cowling did not present any real problems but the intake duct portion did.

This area is less than 3 inches deep and is actually quite a complex surface; so any small deviation from exactness results in some crazy surface deformations. The original data tables are actually extremely good requiring only one small adjustment to get the result I was after…the trick was identifying which ordinates to use for the end profile and which ones we needed to check we have it done right.

After many (about a dozen) test developments of surface development and interrogation of the original data tables to ensure correct translations I eventually determined the correct ordinates and profiles to use to get this right.

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The resulting surface is based on the selected original ordinates with only one requiring micro adjust. In most cases the adjustment is simply an error in interpreting the sometimes indistinct values in the original data where a 6 could be an 8 or a 3 could be 5.

The 2 magenta coloured contours are generated profiles from a surface section cut overlayed on the ordinate controlled contours from the NAA tables which provides a check to ensure the surface conforms to the original design.

This surface will be converted to a T-Spline surface to facilitate final development.

It may be that this particular part does not warrant this level of exactness nor indeed the time expended in getting to this point. However it is a testament to the many fine designers of this era to be able to reproduce their work that was done to an extraordinary degree of accuracy.

Update Jan 2021: A comprehensive Ordinate/CAD package incorporating all known ordinate data points is now available for download. See this post for details.

FW 190 & Ta152: Ordinates

FW190 & Ta152H: Ordinate Study

1-Ta-152H-captured-FE112-Germany-1945-01

The FW190 & Ta152 was a very intensive project as I delved into the intricacies of the fuselage, wing and rudder ordinates for both aircraft; a study accumulating a mass of data.

In preparing the models I adopted a modular approach to the development breaking the assemblies down into manageable chunks of information that align with the Bremen construction assembly documents.

Every aspect of the available manufacturers data, specifications and third party resources have been very carefully scrutinized and incorporated into this build. Cross-referencing of even the smallest detail drawings can yield surprising, almost minuscule amounts of information, that can have an impact on the finished product.

Aviation Projects Drawing Comments  2015-05-31_21-46-45  2015-05-31_21-45-522015-05-31_21-45-27

It may seem inconceivable to attempt to build a model of this type down to an accuracy better than actual manufacturing tolerances. However; as I have probably mentioned before; working with SolidWorks or Inventor this level of accuracy is critical to a successful build.

These illustrations give you some idea of the progress I made with this study. Of course, the data sets for this aircraft are incomplete so a degree of interpolation based on the best available information was used where required.

Ta152 Ordinate Spreadsheet package for wings and fuselage available:

Ta-152 Wing Ordinates

Ta152H Wing Layout:

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