(3) (5) (6) 162 青 山 充 て ん層 厚 さ と流 量 計 水 柱 高 さの 関係 を 示 した 付 属 チ ャ ー トに よ り直 ち に平 均 粒子 径 を知 る よ う にな って い る. しか し,試 料 重 量 を 変 え て実 験 す る場 合,チ ρp/w=1を ャー
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1 161 Tadaaki Aoyama: Measurement of Mean Particle Size of Tungsten and Tungsten Carbide Powders by Fisher Sub-Sieve Sizer not Dependent on Porosity. An equation for the specific surface area of powder, not dependent on the porosity for F- SSS, has been derived from the Kozeny-Carman formula. Using the equation, measurements of mean particle size of tungsten and tungsten carbide powders, was determined at different packing methods, sample weights and porosities. Results obtained are as follows: (1) The equation applied, to tungsten powder, but not satisfactorily to tungsten carbide powder since the catter possilily has an unstable packing structure. (2) The particle size was affected only slightly by the packing method, as examined by analysis of variance. (3) The obtained correction factor x was about 0.95 for tungsten and about 1.0 for tungsten carbide powder. (Received July 7, 1970)
2 (3) (5) (6) 162 青 山 充 て ん層 厚 さ と流 量 計 水 柱 高 さの 関係 を 示 した 付 属 チ ャ ー トに よ り直 ち に平 均 粒子 径 を知 る よ う にな って い る. しか し,試 料 重 量 を 変 え て実 験 す る場 合,チ ρp/w=1を ャー トは 条 件 と して い る の で 使用 で きな い.チ トを用 い ない と きのF-SSS式 ャー と してKaye9)は 忠 明 aine法 の 場 合 と 同 じよ う に 直 線 と な り,そ Sv/x,ε 軸 との 交 点 は修 正 項x,さ の 勾配 は ら に ε=0の 縦 軸 -と の交 点 は求 め る気孔 率 に依 存 しな い 比 表 面 積Sv(=ρpSx) を表 わす こ とが 期 待 され る. 平 均 粒 子 径Dは,粒 子形 状 を 球 と して(8)式 に よ り比 表 面 積 か ら求 め る. D=6/Sv(8) を発 表 して い る. 気 孔 率 に依 存 しな いF-SSSの 比 表 面 積 を 求 め るため, III試 料 充 てん 層 を とお る圧 縮性 流 体 の一 般 的Kozeny-Carman 試 料 と し てTable1,Fig.1に 式10) 示 した 粒度 の異 な る タ ン グ ス テ ン,炭 化 タ ン グ ス テ ン そ れ ぞ れ3種 類 を 用 い た. (4) p:充 て ん 層 中 の 気 体 の 圧 力,P1:充 の 気 体 の 圧 力,h1:圧 圧 力,u:充 量計の て ん 層 中 の 気 体 の 線 速 度,C:流 計 の コ ン ダ ク タ ン ス,A:充 (4)式 て ん層 入 口 力 計 の 圧 力,h2:流 量 て ん層 の 断面 積 にp/p1 1, P=(h1-h2)g,u=h2C/Aを して,(1)式 代入 と 同 じ形 の 式 を 導 く と K:装 置定 数 Sw:粉 末 の 比 表 面 積[cm2/9] ρp:粉 ε:気 末 の 真 密 度[g/cm3] 孔率 h1:圧 力 計 の 水 柱[cm] h2:流 量 計 の 水 柱[cm] L:充 て ん 層 の 厚 さ[cm] (2)式 と 同 じよ う に,(5)式 に修 正項 を 導 入 す る と と な る. (6)式 は 次 の よ う に 変 形 で き る. (7) Fig.1 す な わ ち,ε と の 関係 はBlTable 1 (20) Electron micrograph of tungsten tungsten carbide powders. and Sample. 粉体 お よ び粉 末 冶 金 第17巻 第4号
3 Table 2 Packing condition of the sample. (9) Fig. 2 Flowmeter head vs. porosity (Std. cement powder, W=3.159g, ƒïp=3.15 g/cm3, ƒ =1) Fig. 3 (1) K vs.porosity (W,ƒ =1) (21)
4 164 Fig.3(2) K vs.porosity (W, ƒ =2) Fig.4(1) K vs. porosity (WC, ƒ =1) Fig.3(3) K vs. porosity (W, ƒ =3) Fig.4(2) K vs. porosity (WC, ƒ =2) (22)
5 Fig. 4(3) K vs. porosity (WC,ƒ =3) Table 3 Mean particle size D and correction factor x. (a) W powder ( ):Mean particle size by routine F-SSS (23)
6 Đ 166 (b) WC powder ( ):Mean particle size by routine F-SSS Table 4 Analysis of variance (W). Table 6 Analysis of variance (WC). *, **:Significance at the 0.01, 0.05 level; S.S.: Sum of squares; d.f.: Number of degrees of freedom ; m.s.: Mean square; F0 : Observed F-value *, **: Significance at the 0.01, 0.05 level ; S.S.: Sum of squares; d.f.: Number of degrees of freedom; m.s.: Mean square; F0: Observed F-value Table 5 Estimate of main effect (W). (Significance at the 0.05 level) Table 7 Estimate of main effect (WC). (Significance at the 0.05 level) : Estimated population mean Đ: Estimated population mean
7 167 8) L. Gooden, and C.M. Smith: Ind. Eng. Chem. Anal., 12 (1940), 481 9) B.H. Kaye : Powder Technol., 1 (1967), 19 10) T. Allen : "Particle Size Mesurement" p. 173, 179, Chapman and Hall Ltd. (1968) (25)
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