<p> B-Companion </p>

d83094dc-07c0-4d4a-a7d8-565944af2ff0 40 4 5 decimal

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

ndp p SVG t-> interpolation points [0,1] ... p-> control points t p DeCasteljau M 1 t - (p 1 row * t p 2 row * + : p rows 2 > i 2 p rows 1 - range M M 1 t - (p i row * t p i 1 + row * + stack : for t M DeCasteljau 21 line M if 21 line : t-> range of interpolation points [0,1] ... p-> control points t p DeCasteljauRange M t 1 el p DeCasteljau : i 2 t length range M M t i el p DeCasteljau stack : for M 31 line : ndp-> number of discretised points [>1] ... p-> control points t 011 ndp 1 - / range : M t 1 el p DeCasteljau : i 2 t length range M M t i el p DeCasteljau stack : for M 91 line :

svg 1 :

NDP 10 :

cap svg 020 - 00255023 mat 1001201005025023 mat 12 mat transpose * :

cyl svg 0000505023 mat 1001001005050023 mat 10000022 mat 13 mat transpose * :

b1 NDP cap 1 el SVG : i 2 cap length range b1 b1 NDP cap i el SVG stack : for 21 line

L cyl 2 el 1 el : ID cyl 2 el 2 el : V π 4 / ID 2^* L * : 31 sys 10050 1.9635 105^* 31 sys

b2 NDP cyl 1 el SVG : i 2 cyl length range b2 b2 NDP cyl i el SVG stack : for 21 line

cyl 1 el 0005005032 mat

2 cyl length range 2321 mat

truncate left of decimal Number part Trunc part Number part / 0 round * :

V V 10 Trunc :

Volume of the caps are subject to Pressurized Vessel Standards ... Typical: TEMA [Tubular Exchanger Manufacturers Association

b1 b2 2 1 sys

svg 1

V 2105^*

ID 50

L 100

circle 101 - 1 - 1 - 1 - 023 mat 1 - 1 - 001123 mat 01111023 mat 11001 - 1 - 23 mat 14 mat transpose * :

x y axes x y / - :

C NDP circle 1 el SVG : i 2 circle length range C C NDP circle i el SVG stack : for 21 line

C axes 2 1 sys

NDP 100 :

svg 1 :

y 3 :

x 4 :

hyp svg x 0000 y 23 mat x 0000 y - 23 mat 12 mat transpose * : H1 NDP hyp 1 el SVG : H2 NDP hyp 2 el SVG : 31 line

x datum 0 :

throat 30 :

Observe: the 'B-Companion' works reverse H1 H1 throat NDP 12 submatrix : H2 H2 throat NDP 12 submatrix : 21 line

Venturi stream lines hyp svg x 0000223 mat x 0000 1.5 23 mat x 0000123 mat 13 mat transpose * : S1 NDP hyp 1 el SVG : S2 NDP hyp 2 el SVG : S3 NDP hyp 3 el SVG : 41 line

pipe 1 - 3 - 1 - 30303 - 1 - 3 - 52 mat :

H1 H2 x datum S1 S2 S3 pipe 7 1 sys

shape 10010100023 mat transpose * : SHAPE 100 shape SVG : 21 line

---- x ---- y

H1 H2 x datum S1 S2 S3 pipe 71 sys

Tentative to an hyperbolic descent.

SHAPE shape 2 1 sys

α 1 :

Gyzmas

θ rot θ cos θ sin - θ sin θ cos 22 mat :

α 111 - 1101 - 1 - 11 - 52 mat * 2 - 02022 mat 21 sys

α 1 1 1 - 1 1 0 1 - 1 - 1 1 - 5 2 mat * 2 - 0 2 0 2 2 mat 2 1 sys

θ π - 4 / :

θ 0.7854 -

arrow svg 1 - 2 - 1 - 12 - 103211112 - 1 - 2 - 82 mat * :

svg 1 :

quadrant 1 :

Rot arrow θ rot * :

arrow quadrant + Rot 1 - 2 1 sys