Die Molekularströmung der Gase durch Offnungen und die Effusion

Abstract

1) M. Rnudsen, Ann. d. Phys. 28. p. 75. 1909. M. Enudsen. dringen +iV" 9 A in entgegengesetzter Richtung vor, so daB die in der Sekunde durchstromende Anzahl 1 n = q Q A ( N ' -N") ist. 1st das Gewicht eines jeden Molekuls m, erhiilt man also, indem N'm = g' und N " m = Q" ist, wo Q die spezifischen Gewichte und n m = G das Gewicht der durchstromenden Gasmenge bezeichnet, 1 4 G = -Q A (0' -Q") . Erinnert man sich, daB man infolge von Maxwells Geschwindigkeitsverteilungsgesetz 9 = i " 71 61 hat, wo el das spezifische Gewicht des Gases bei der Druckeinheit 1 L>yn/cm2, und infolge M a r i o t t e s Gesetz g' = p'g, und = p" gl, wo p' und p" den Druck bezeichnen, erhiilt man MiOt man die durchstromende Gasmenge nicht am Gewicht, sondern am Produkt Q des Volumens und des Druckes, hat man Q = G/p, und somit bei stationarer Stramung mit Benutzung der C.G.S.-Einheiten A t Q = --65

Measurements and computations of mass flow and momentum flux through short tubes in rarefied gases

“…Therefore, here we mention only few of them. Free molecular and transitional flow in tubes and ducts was first studied experimentally and theoretically by Knudsen,5 who examined the dependence of the conductance at different pressure and geometrical parameters. He observed a conductance minimum at KnϷ 1 for long ducts and tubes.…”

Random paths and current fluctuations in nonequilibrium statistical mechanics

“…As an interesting example, we may consider the effusion process of a dilute gas through a small hole of area σ in a wall separating two reservoirs at different temperatures and particle densities, (n L , T L ) and (n R , T R ) [85][86][87][88]. This process is illustrated in Fig.…”

THE MOLECULAR AND VISCOUS EFFUSION OF SATURATED VAPORS (thesis)

“…It is not difficult to demonstrate the effect of the geometrical parameters H and P, For example, the leading terra in the equation (5,(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21) for n (7]) comes close to zero for large values of 7].…”

“…[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] to obtain a minimum value for the extent of saturation.…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] From this expression one may obtain directly the factor R^ 1 T2 _ 2 G(27rRodL,27Trjdri) = 471RgLdLridri |(R2 ^ ^.2*^^ ^l^z", if^^lf/z (Al. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] Integration of expression (A1. 1--19) over r^ between 0 and R^ ^ RQ yields the factor A 1.2 _The Probability Functions K One may easily demonstrate the interrelationship of the previous geometry factors through differentiation of the principal factor G(SOSI) .…”