SCIENTIFIC ABSTRACT VULFSON, N.I. - VULFSON, N.S.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001961310009-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 1, 2001
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SO'1/49-58-7-6/16
Statistical Methods of Determination of Effective Parameters of
the Observed Convective Currents
The concentration of vl, i.e. the number of circles per
unit of surface, can be expressEd by the kq.(10) where n
is the number of currents crosse,d by an aixeraft takinG
temperatures along the path L .
b) In the case of air bubbles, apart from their shape, it
is necessary to consider the quostion of their spatial
distribution. This can be exprossed as a distribution of
the ellipsoids (11) and (12) with their concentration.
The probability of horizontal c;7oss-sections of the
ellipsoids havin6 the dimen6iono from I to I + dl will
be Eq-(13). The conditional probability (14) is equal to
the ratio of th~? elliptic rings (having axes al and a,/=
with. thickness dal) to the euxface of the ellipse (having
axes a and alm ). If Eq.(15) is the density probability
function of the ellipsoids distribution and N2 the number
of the ellipsoid centres per unit of the volume, the equation
(16) is the number of ellipsoids along the horizontal
Card3/11 straight line (a2 = the second moment). From Eqs.(17) and

SOV/49-58-7-6/16
-Statistical Methods of Deterdaation of Effective Parameters of
the Observed Convective Currents
(14) substituted into Eq.(13), tin integral equation (18)
can be formed which expresses the - Aationship between the
distribution of the ellipsoids and the chords. The
solution for this equation is given by (19).
The concentration of ellipsoids N i e their number per
unit of volume, according to Eq "(19)lcan' be expressed as
'Eq.(20), where n = total numbe:? of ellipsoids along the
path L
It should be noted that the Eq.1'18) contains no reference
to m. . Therefore, it can be a~?plied to all shapes of the
air bubbles, such as sphere (m. = 1) , vertical ellipsoid
( m