e644809d-4bf1-4d0a-a960-80c5e50d296f 32 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

Q 2313 D m^* PD Cr L * / (n^* ≡ PD solve maple D ln m * Q 2313 / ln - n / - exp Cr * L *

m 2.623 : n 0.541 : 12 mat

Cr 0.609 : D 1.380 : Q 350 : 13 mat

Q Cr L D PD D ln m * Q 2313 / ln - n / - exp Cr * L * :

Recast Cox PD as function of 'L'
'L' = x  for quick plot ...
below plotted for several 'D' Q Cr D x PD D ln m * Q 2313 / ln - n / - exp Cr * x * :

x c 10 x ≤ (x 5000 ≤ (& cases :

Q Cr D x PD x c * Q Cr 1.25 x PD x c * Q Cr 1.5 x PD x c * 3 1 sys

ΔP m 2.623 : n 0.541 : 12 mat Cr 0.609 : D 1.380 : Q 350 : 13 mat L 100050001500 range : i 1 L rows range ΔP i el D ln m * Q 2313 / ln - n / - exp Cr * L i el * : for L ΔP augment 51 line :

ΔP 1000 3.9 1500 5.84 2000 7.79 2500 9.74 3000 11.69 3500 13.63 4000 15.58 4500 17.53 5000 19.48 92 mat

D 0.622 0.824 1.049 1.380 1.61 2.067 2.469 3.068 4.026 6.065 7.981 10.02 121 mat :

data m 2.623 : n 0.541 : 12 mat Cr 0.609 : Q 350 : 12 mat L 100050001500 range : D D : i 1 L rows range j 1 D rows range DP i j el D j el ln m * Q 2313 / ln - n / - exp Cr * L i el * : for for L DP augment 61 line :

isolate X_Y data data :

data 1 col data 2 col augment data 1 col data 3 col augment 2 1 sys

header L D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 113 mat :

Data header data stack :

Data L D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 1000 185.566 47.46 14.722 3.895 1.845 0.549 0.232 0.081 0.022 0.003 0.001 01500 278.35 71.19 22.084 5.843 2.767 0.824 0.348 0.121 0.033 0.004 0.001 02000 371.133 94.92 29.445 7.79 3.689 1.099 0.464 0.162 0.043 0.006 0.002 0.001 2500 463.916 118.65 36.806 9.738 4.612 1.373 0.58 0.202 0.054 0.007 0.002 0.001 3000 556.699 142.38 44.167 11.685 5.534 1.648 0.696 0.243 0.065 0.009 0.002 0.001 3500 649.483 166.11 51.528 13.633 6.456 1.923 0.812 0.283 0.076 0.01 0.003 0.001 4000 742.266 189.84 58.89 15.58 7.379 2.197 0.928 0.324 0.087 0.012 0.003 0.001 4500 835.049 213.57 66.251 17.528 8.301 2.472 1.044 0.364 0.098 0.013 0.004 0.001 5000 927.832 237.3 73.612 19.475 9.224 2.746 1.16 0.405 0.108 0.015 0.004 0.001 1013 mat

detail Data 1 col Data 11 col Data 12 col Data 13 col augment :

detail L D10 D11 D12 1000 0.00297 0.00079 0.00026 1500 0.00446 0.00118 0.00039 2000 0.00595 0.00157 0.00052 2500 0.00743 0.00196 0.00065 3000 0.00892 0.00236 0.00078 3500 0.01041 0.00275 0.00091 4000 0.01189 0.00314 0.00104 4500 0.01338 0.00353 0.00117 5000 0.01487 0.00393 0.0013 104 mat

x y M Spline A M 112 M cols submatrix : B M 2 M rows 11 submatrix : C M 2 M rows 2 M cols submatrix : j 1 A length 2 range CC j el B C 1 C rows j j submatrix y linterp : for A transpose CC x linterp 51 line :

X data 1 col :

Y D :

sub data 1 data rows range 2 data cols range el :

New L/D X stack Y transpose sub stack augment :

New 11 mat L/D 0.622 0.824 1.049 1.38 1.61 2.067 2.469 3.068 4.026 6.065 7.981 10.02 1000 185.566 47.46 14.722 3.895 1.845 0.549 0.232 0.081 0.022 0.003 0.001 01500 278.35 71.19 22.084 5.843 2.767 0.824 0.348 0.121 0.033 0.004 0.001 02000 371.133 94.92 29.445 7.79 3.689 1.099 0.464 0.162 0.043 0.006 0.002 0.001 2500 463.916 118.65 36.806 9.738 4.612 1.373 0.58 0.202 0.054 0.007 0.002 0.001 3000 556.699 142.38 44.167 11.685 5.534 1.648 0.696 0.243 0.065 0.009 0.002 0.001 3500 649.483 166.11 51.528 13.633 6.456 1.923 0.812 0.283 0.076 0.01 0.003 0.001 4000 742.266 189.84 58.89 15.58 7.379 2.197 0.928 0.324 0.087 0.012 0.003 0.001 4500 835.049 213.57 66.251 17.528 8.301 2.472 1.044 0.364 0.098 0.013 0.004 0.001 5000 927.832 237.3 73.612 19.475 9.224 2.746 1.16 0.405 0.108 0.015 0.004 0.001 1013 mat 11 mat

diameter(s)

length piping

sanity some points
NOT wise extrapolate
either direction 1.049 3500 New Spline 2.067 2500 New Spline 6.0661 4500 New Spline 31 mat 51.528 1.373 0.013 31 mat

This system is of fixed geometry wrt pipe/tube ID. However, ID may be made of intermediate equivalent on the account of "fitting" over the lenght.

user interpolate length 6.0661 3750 New Spline 0.0111