The Effect of Solid Admixtures on the Velocity of Motion of a Free Dusty Air Jet Page: 4 of 8
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NACA 'I 14530
where Gd.o and Ga.o are, respectively, the discharges of dust and of
air through the initial section of the jet, g - the acceleration of
gravity.
The condition of constancy of the ratio of the velocities of the
dust and of the air with respect to the cross section permits rewriting
the right-hand side of equation (2) in the form
f0 2xpu2ydy + k f c2npu2ydy (A)
0W
where k = w.
u
Having denoted also kO = , c0 = G-o and going over to the new
Ga.o
variable c = a, we transform equation (2) in the following manner
2nx(as)2 2 P2. 2qdy + 2(as)2pmk rP.( )2cdr =
nRp2 Ou2 (Hcko) 3)
or
(u2 1+ c0k
UM 00
uOa2 P 'u2\2- d + k Pwrp. 2rd
The values of the integrals occurring in the denominator of the
right-hand side are known from the theory of jets (ref. 1).
Having assumed the relation between the changes of concentration and
of velocity in the jet cross section to be the following: c , we
cm um
substitute the values of the integrals in equation (4) as
(\n 2 1 + c kO
(um)2 = __ i_+__oko
u2/ 0.50c0 (5)
(20 -- 0.555k as k
RO/ aso3
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Chernov, A. P. The Effect of Solid Admixtures on the Velocity of Motion of a Free Dusty Air Jet, report, April 1957; (https://digital.library.unt.edu/ark:/67531/metadc64932/m1/4/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.