The wind velocity distribution along the axis of jets, ejected from circular or rectangular orifices, was investigated in order to apply the results to the study of characteristics of a flame issued from the window in case of fire in a concrete house, or to that of upward current from rectangular-shaped heat source.
As for the air velocity
v at the point whose distance from the orifice along the axis of jet is
x, the following non-dimensional equation is approximately held ;
v/
v0=ƒ(
x/
r0)……………(1)
where
v0 is the initial outflow velocity of jets,
r0 is the radius of the orifice. When the shape of orifice is rectangular,
r0 is the modified radius of the circle, which has area equivalent to that of the rectangle ; that is,
r0 must be modified by multiplying a factor
α2 tabulated in Table 1. A functional form of f in eq. (1) must be sought for by experiments.
In case of circular orifice, two regions can be distinguished as regard to the axial velocity ;
x≦10
r0 :
v=
v0(constant)
x≧10
r0 :
v=10
v0r0/
xIn case of rectangular orifice, three regions can be distinguished ;
x≦8.85
r0/√n :
v=
v0(constant)
8.85
r0/√n≦
x≦11.3√n
r0 :
v=(2.977/4√n)√(
r0/
x)
x≧11.3√n
r0 :
v=10
v0r0/
xwhere n (>1) is the ratio of the length of adjacent sides of rectangles.
In the second region, the axil velocity is inversely proportional to the square root of distance from the orifice, this is the same distribution as that of the jet from the line source.
In both cases, the last region is that, where the axil velocity is inversely proportional to the distance from the orifice, and this velocity distribution appeared over all regions when the source is a point, as pointed out by V. Tollmien.
Above-mentioned characteristics concerning the jet from a rectangular orifice can be applied to the vertical temperature distribution along the axis of upward current from a rectangular heat source. In case of circular heat source, the temperature decrease with the height is slight until the height corresponding to about three times of its radius, and in the higher region the temperature distribution responds to the law of
Δθ∝z
-5/
3,
as is already reported by the same author.
In case of rectangular heat source, in the region higher than the height corresponding to about 3/2 times of length of shorter side of the rectangle, the temperature distribution is
Δθ∝
Z-1, that is equal to that of the upward current from a line heat source, and at last at some height higher than that, the temperature distribution is transformed to
Δθ∝z
-5/
3, that is equal to that of the current from a point heat source.
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