Potential flow in engine valves Page: 16 of 29
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. A.C.A. Technical Men.orandum No. 343
flowing through per unit of time,
In order to obtain again nondimensional coefficients in
accord with the previous researches, tue further expand this
with 1/b and obtain
P = 2 + K (K - in) (omitting ).
3. Combining the results.- The values of n, m and p must
now be calculated in terms of K and a, whereby it must be
borne in mind that the equations for m and n can be solved
only in conjunction and that only their solution accurately de-
terrines the flow. If we then take from these equations the
corresponding values of K and a and introduce them into P,
eve thus obtain the value of P. The rather complicated form in
which P, n, m are combined with and a, necessitates
rather troublesome graphic and mathematical evaluations, whose
results are represented in curves, with PIIa' PIIb' mIIa
mIIb, nIIa and nIIb as ordinates and a as the abscissa.
Herein the curves K = constant for K = 0, 0.1 ........ 1
were introduced (Figs. 17-23).
From the curves for m, it is immediately obvious that
the whole flow in the cases IIa and IIb is confined to rela-
tively small angles. In IIb the angles are about twice as
large as in IIa. The sets of curves for h and n show, in
case IIb, that for small angles, the valve lift is almost inde-
menaent of a and K, while this is not so much the case in
IIa. The latter curves hold good in the region down to about
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Eck, Bruno. Potential flow in engine valves, report, December 1, 1925; (digital.library.unt.edu/ark:/67531/metadc65148/m1/16/: accessed November 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.