{"id":41,"date":"2026-05-07T22:42:09","date_gmt":"2026-05-07T13:42:09","guid":{"rendered":"https:\/\/material-ai-lab.com\/?p=41"},"modified":"2026-05-07T23:00:08","modified_gmt":"2026-05-07T14:00:08","slug":"%e3%83%9c%e3%83%bc%e3%83%ab%e3%83%9f%e3%83%ab%e3%81%ae%e3%82%b9%e3%82%b1%e3%83%bc%e3%83%ab%e3%82%a2%e3%83%83%e3%83%97%e3%82%92%e3%82%84%e3%81%95%e3%81%97%e3%81%8f%e8%a7%a3%e8%aa%ac","status":"publish","type":"post","link":"https:\/\/material-ai-lab.com\/?p=41","title":{"rendered":"\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u3092\u3084\u3055\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"\n<p>\u30dc\u30fc\u30eb\u30df\u30eb\u306f\u3001\u7c89\u4f53\u306e\u5fae\u7c89\u7815\u3084\u5206\u6563\u3067\u5e83\u304f\u4f7f\u308f\u308c\u308b\u4ee3\u8868\u7684\u306a\u88c5\u7f6e\u3067\u3059\u3002\u30e9\u30dc\u6a5f\u3067\u306f\u3046\u307e\u304f\u7c89\u7815\u3067\u304d\u3066\u3082\u3001\u5b9f\u6a5f\u306b\u305d\u306e\u307e\u307e\u6761\u4ef6\u3092\u79fb\u3059\u3068\u3001\u540c\u3058\u7c92\u5b50\u5f84\u306b\u306a\u3089\u306a\u3044\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u91cd\u8981\u306b\u306a\u308b\u306e\u304c\u3001<strong>\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u79c1\u306e\u7d4c\u9a13\u3067\u306f\u3001\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u306f\u6b21\u306e2\u70b9\u3092\u6574\u7406\u3059\u308b\u3068\u3001\u304b\u306a\u308a\u898b\u901a\u3057\u3088\u304f\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u3069\u306e\u7c89\u7815\u901f\u5ea6\u5f0f\u3092\u4f7f\u3063\u3066\u3001\u7c92\u5b50\u5f84\u3068\u6295\u5165\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3092\u8868\u3059\u304b<\/strong><\/li>\n\n\n\n<li><strong>\u3069\u306e\u52d5\u529b\u63a8\u7b97\u5f0f\u3092\u4f7f\u3063\u3066\u3001\u30df\u30eb\u6761\u4ef6\u3068\u6295\u5165\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3092\u8868\u3059\u304b<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\u4e0a\u8a18\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3067\u3001\u904b\u8ee2\u6761\u4ef6\u3068\u904b\u8ee2\u6761\u4ef6\u306e\u76f8\u95a2\u3092\u3064\u304b\u307f\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u3053\u306e2\u3064\u3092\u8ef8\u306b\u3001\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u306e\u8003\u3048\u65b9\u3092\u521d\u5fc3\u8005\u5411\u3051\u306b\u5206\u304b\u308a\u3084\u3059\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/www.blogger.com\/blog\/post\/edit\/7026973157148678023\/5263985616858592468#\"><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEhyd0aQ5kk76k_bTjlc6TODjgIEE7DMUvpScQ77IHzJM09IsyawXQNWC15d7T48oFITgNDJ6qlGCSdPqfiYEkd40KbZbe983jVbcnwPfN6BNIk0xlPcxaPhh7qPfxDQGrzuBlILDjcWBtDmueS9PHlsPREOkOWeGFII4Wcia7hUyMqJmW5HDSEde2rB_RV7=w640-h254\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u7c92\u5b50\u5f84\u306e\u76f8\u95a2\u5f0f\uff08\u7c89\u7815\u901f\u5ea6\u5f0f\uff09<\/h2>\n\n\n\n<p>\u30dc\u30fc\u30eb\u30df\u30eb\u3067\u306f\u3001\u540c\u3058\u6750\u6599\u30fb\u540c\u3058\u7cfb\u306e\u6761\u4ef6\u3067\u3042\u308c\u3070\u3001<strong>\u6295\u5165\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4ee3\u8868\u7c92\u5b50\u5f84\u306e\u9593\u306b\u7d4c\u9a13\u7684\u306a\u76f8\u95a2<\/strong>\u3092\u7f6e\u3051\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u3044\u3046\u7c92\u5b50\u5f84\u306f\u3001d50\u3084d90\u306a\u3069\u306e\u4ee3\u8868\u7c92\u5b50\u5f84\u3092\u4f7f\u3046\u3068\u5206\u304b\u308a\u3084\u3059\u3044\u3067\u3059\u3002\u5927\u5207\u306a\u306e\u306f\u3001\u6bd4\u8f03\u3059\u308b\u3068\u304d\u306b<strong>\u540c\u3058\u7c92\u5b50\u5f84\u6307\u6a19\u3067\u7d71\u4e00\u3059\u308b\u3053\u3068<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u4ee3\u8868\u7684\u306a\u7c89\u7815\u901f\u5ea6\u5f0f\u3068\u3057\u3066\u3001Kick\u306e\u5f0f\u3001Bond\u306e\u5f0f\u3001Rittinger\u306e\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u521d\u671f\u7c92\u5b50\u5f84\u3092\u00a0d0\u3001\u6642\u523b\u00a0tt\u306b\u304a\u3051\u308b\u7c92\u5b50\u5f84\u3092\u00a0d\u3001\u6642\u523b\u00a0t\u307e\u3067\u306b\u6295\u5165\u3057\u305f\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u00a0E\u00a0\u3068\u3059\u308b\u3068\u3001\u7c21\u7565\u5316\u3057\u305f\u5f62\u3067\u6b21\u306e\u3088\u3046\u306b\u8868\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Kick\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mo>\u2212<\/mo><mi>k<\/mi><mi>E<\/mi><mo>=<\/mo><mrow><mi>ln<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><mi>d<\/mi><mo>\u2212<\/mo><mrow><mi>ln<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><msub><mi>d<\/mi><mn>0<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">-kE=\\ln{d} &#8211; \\ln{d_0}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>Kick\u306e\u5f0f\u306f\u3001<strong>\u7c92\u5f84\u6bd4\u304c\u540c\u3058\u306a\u3089\u5fc5\u8981\u30a8\u30cd\u30eb\u30ae\u30fc\u3082\u540c\u3058<\/strong>\u3068\u3044\u3046\u8003\u3048\u65b9\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u6bd4\u8f03\u7684\u7c97\u3044\u7c92\u5b50\u306e\u7c89\u7815\u3092\u8003\u3048\u308b\u3068\u304d\u306b\u4f7f\u3044\u3084\u3059\u3044\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Bond\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mo>\u2212<\/mo><mi>k<\/mi><mi>E<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><msqrt><msub><mi>d<\/mi><mn>0<\/mn><\/msub><\/msqrt><\/mfrac><mo>\u2212<\/mo><mfrac><mn>1<\/mn><msqrt><mi>d<\/mi><\/msqrt><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">-kE=\\frac{1}{\\sqrt{d_0}}-\\frac{1}{\\sqrt{d}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>Bond\u306e\u5f0f\u306f\u3001\u5b9f\u52d9\u4e0a\u3082\u3063\u3068\u3082\u3088\u304f\u4f7f\u308f\u308c\u308b\u7c89\u7815\u901f\u5ea6\u5f0f\u306e1\u3064\u3067\u3059\u3002\u591a\u304f\u306e\u7c89\u7815\u30c7\u30fc\u30bf\u306b\u6bd4\u8f03\u7684\u3088\u304f\u5408\u3044\u3084\u3059\u304f\u3001<strong>\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u3067\u6700\u521d\u306b\u691c\u8a0e\u3057\u3084\u3059\u3044\u5f0f<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Rittinger\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mo>\u2212<\/mo><mi>k<\/mi><mi>E<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><msub><mi>d<\/mi><mn>0<\/mn><\/msub><\/mfrac><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mi>d<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\u2212kE=\\frac{1}{d_0}\u2212\\frac{1}{d}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>Rittinger\u306e\u5f0f\u306f\u3001<strong>\u65b0\u3057\u304f\u3067\u304d\u308b\u8868\u9762\u7a4d\u306b\u5fc5\u8981\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6bd4\u4f8b\u3059\u308b<\/strong>\u3068\u3044\u3046\u8003\u3048\u65b9\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u5fae\u7c89\u7815\u306e\u3088\u3046\u306b\u8868\u9762\u7a4d\u306e\u5897\u52a0\u304c\u91cd\u8981\u306a\u5834\u9762\u3067\u4f7f\u308f\u308c\u3084\u3059\u3044\u5f0f\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Lewis\u306e\u4e00\u822c\u5f0f<\/h3>\n\n\n\n<p>\u3053\u308c\u3089\u3092\u4e00\u822c\u5316\u3057\u305f\u5f0f\u3068\u3057\u3066\u3001Lewis\u306e\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>k<\/mi><mi>d<\/mi><mi>E<\/mi><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mi>d<\/mi><msup><mi>x<\/mi><mi>n<\/mi><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">kdE=\u2212dx^{n}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3053\u306e\u5f0f\u3067\u306f\u3001n\u00a0\u306e\u5024\u306b\u3088\u3063\u3066\u5404\u7c89\u7815\u901f\u5ea6\u5f0f\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n=1\u306e\u3068\u304d Kick\u306e\u5f0f<\/li>\n\n\n\n<li>n=1.5\u306e\u3068\u304d Bond\u306e\u5f0f<\/li>\n\n\n\n<li>n=2\u306e\u3068\u304d Rittinger\u306e\u5f0f<\/li>\n<\/ul>\n\n\n\n<p>\u5b9f\u969b\u306e\u30dc\u30fc\u30eb\u30df\u30eb\u6761\u4ef6\u691c\u8a0e\u3067\u306f\u3001\u6700\u521d\u304b\u30891\u3064\u306e\u5f0f\u306b\u6c7a\u3081\u6253\u3061\u3059\u308b\u3088\u308a\u3001<strong>\u5b9f\u6e2c\u30c7\u30fc\u30bf\u3092\u305d\u308c\u305e\u308c\u306e\u5f0f\u306e\u5f62\u3067\u30d7\u30ed\u30c3\u30c8\u3057\u3066\u3001\u3069\u308c\u304c\u6700\u3082\u76f4\u7dda\u306b\u8fd1\u3044\u304b\u78ba\u8a8d\u3059\u308b<\/strong>\u306e\u304c\u5b89\u5168\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u305f\u3068\u3048\u3070\u3001\u6a2a\u8ef8\u3092\u6642\u9593\u3001\u7e26\u8ef8\u3092<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ln\u2061 d\uff08Kick\uff09<\/li>\n\n\n\n<li>1\/\u221ad\u200b\uff08Bond\uff09<\/li>\n\n\n\n<li>1\/d\uff08Rittinger\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u3068\u3057\u3066\u6574\u7406\u3059\u308b\u3068\u3001\u3069\u306e\u7c89\u7815\u901f\u5ea6\u5f0f\u304c\u5408\u3044\u3084\u3059\u3044\u304b\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u3068\u3057\u3066\u4f4f\u53cb\u5316\u5b66\u306e\u516c\u958b\u8cc7\u6599\u306b\u57fa\u3065\u3044\u305f\u8a08\u7b97\u3092\u884c\u3044\u307e\u3059\u3002\u6a2a\u8ef8\u306b\u6642\u9593\u3001\u7e26\u8ef8\u306b\u5404\u7c89\u7815\u901f\u5ea6\u5f0f\u306b\u304a\u3051\u308b\u7c92\u5b50\u5f84\u306e\u5909\u5f62\u5024\u3092\u3068\u308a\u30d7\u30ed\u30c3\u30c8\u3057\u305f\u7d50\u679c\u304c\u4e0b\u8a18\u306e\u56f3\u3067\u3059\u3002\u50be\u304d\u304c\u7c89\u7815\u901f\u5ea6\u5b9a\u6570 k \u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3053\u306e\u6761\u4ef6\u3067\u306fBond\u306e\u5f0f\u3084Rittinger\u306e\u5f0f\u304c\u76f8\u95a2\u4fc2\u6570\u304c\u9ad8\u3044\u3053\u3068\u304b\u3089\u3001\u3053\u308c\u3089\u306e\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u306e\u304c\u59a5\u5f53\u305d\u3046\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/www.blogger.com\/blog\/post\/edit\/7026973157148678023\/5263985616858592468#\"><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEiXatM0wMsd23_f8m2EP2K3wyRW9Ql3Br4jabmu9xbRTY599mEFp5yML3F8y6YizDUbmrvo4AYHerJaMRILc_fpmecDYxcyG_z6zZvPZYYN2pMQJRDvAT2UV5SfjcUchWMHRE-nsgeanvF1TNsQfYnnnbVQhSCG20XEknQjzlWBTKNxMQB02JdRLTAkdtPM=w640-h509\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<p><a href=\"https:\/\/www.sumitomo-chem.co.jp\/rd\/report\/files\/docs\/20070203_d6c.pdf\">https:\/\/www.sumitomo-chem.co.jp\/rd\/report\/files\/docs\/20070203_d6c.pdf<\/a>\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u8fd1\u4f3c\u76f4\u7dda\u3092\u4f5c\u6210\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u306b\u306fBond\u306e\u5f0f\u304c\u4f7f\u3044\u3084\u3059\u3044\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u304c\u3001\u6750\u6599\u3084\u904b\u8ee2\u6761\u4ef6\u306b\u3088\u3063\u3066\u9069\u5408\u6027\u306f\u5909\u308f\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u7c92\u5b50\u5f84\u306e\u5927\u304d\u3044\u7bc4\u56f2\u304b\u3089\u5c0f\u3055\u3044\u7bc4\u56f2\u307e\u3067\u30c7\u30fc\u30bf\u3092\u53d6\u308a\u3001\u3082\u3063\u3068\u3082\u5f53\u3066\u306f\u307e\u308a\u306e\u3088\u3044\u5f0f\u3092\u9078\u3076<\/strong>\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u81e8\u754c\u56de\u8ee2\u6570<\/h2>\n\n\n\n<p>\u30dc\u30fc\u30eb\u30df\u30eb\u3092\u7406\u89e3\u3059\u308b\u3046\u3048\u3067\u6b20\u304b\u305b\u306a\u3044\u306e\u304c\u3001<strong>\u81e8\u754c\u56de\u8ee2\u6570<\/strong>\u3067\u3059\u3002\u81e8\u754c\u56de\u8ee2\u6570\u3068\u306f\u3001\u30dc\u30fc\u30eb\u304c\u91cd\u529b\u3067\u843d\u4e0b\u305b\u305a\u3001<strong>\u30df\u30eb\u58c1\u9762\u306b\u5f35\u308a\u4ed8\u3044\u305f\u307e\u307e\u56de\u8ee2\u3057\u3066\u3057\u307e\u3046\u56de\u8ee2\u6570<\/strong>\u306e\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u306f\u3001\u7c89\u7815\u306b\u5fc5\u8981\u306a\u885d\u7a81\u3084\u305b\u3093\u65ad\u304c\u5f31\u304f\u306a\u308b\u305f\u3081\u3001\u5fc5\u305a\u3057\u3082\u52b9\u7387\u306e\u826f\u3044\u904b\u8ee2\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u3080\u3057\u308d\u3001\u30dc\u30fc\u30eb\u30df\u30eb\u3067\u306f<strong>\u81e8\u754c\u56de\u8ee2\u6570\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u56de\u8ee2\u6570<\/strong>\u304c\u91cd\u8981\u306a\u64cd\u4f5c\u56e0\u5b50\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u81e8\u754c\u56de\u8ee2\u6570&nbsp;NcN_cNc\u200b&nbsp;\u306f\u3001\u4e00\u822c\u306b\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>N<\/mi><mi>c<\/mi><mo>=<\/mo><mfrac><mn>42.3<\/mn><msqrt><mrow><mi>D<\/mi><mo>\u2212<\/mo><msub><mi>d<\/mi><mi>b<\/mi><\/msub><\/mrow><\/msqrt><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">Nc= \\frac{42.3}{\\sqrt{D-d_b}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3053\u3053\u3067\u3001<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Nc\uff1a\u81e8\u754c\u56de\u8ee2\u6570 [rpm]<\/li>\n\n\n\n<li>D\uff1a\u30df\u30eb\u5185\u5f84 [m]<\/li>\n\n\n\n<li>db\u200b\uff1a\u30dc\u30fc\u30eb\u5f84 [m]<\/li>\n<\/ul>\n\n\n\n<p>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u30dc\u30fc\u30eb\u5f84\u304c\u30df\u30eb\u5f84\u306b\u5bfe\u3057\u3066\u5341\u5206\u5c0f\u3055\u3044\u5834\u5408\u306b\u306f\u3001\u8fd1\u4f3c\u7684\u306b<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>N<\/mi><mi>c<\/mi><mo>=<\/mo><mfrac><mn>42.3<\/mn><msqrt><mi>D<\/mi><\/msqrt><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">Nc=\\frac{42.3}{\\sqrt{D}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3068\u66f8\u304b\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u5b9f\u969b\u306e\u56de\u8ee2\u6570\u3092\u00a0N\u00a0\u3068\u3059\u308b\u3068\u3001\u81e8\u754c\u56de\u8ee2\u6570\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u56de\u8ee2\u6570\u00a0\u03d5\u00a0\u306f<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>\u03d5<\/mi><mo>=<\/mo><mfrac><mi>N<\/mi><msub><mi>N<\/mi><mi>c<\/mi><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\u03d5=\\frac{N}{N_c}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5b9f\u904b\u8ee2\u3067\u306f\u3001\u901a\u5e38\u306f\u81e8\u754c\u56de\u8ee2\u6570\u305d\u306e\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u4f55\u5272\u304b\u3067\u904b\u8ee2\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u3067\u306f<strong>\u30df\u30eb\u5f84\u3060\u3051\u3067\u306a\u304f\u3001\u81e8\u754c\u56de\u8ee2\u6570\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u56de\u8ee2\u6570\u3092\u3069\u3046\u7dad\u6301\u3059\u308b\u304b<\/strong>\u304c\u91cd\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">3. \u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u30dc\u30fc\u30eb\u30df\u30eb\u904b\u8ee2\u6761\u4ef6\u306e\u76f8\u95a2\u5f0f\uff08\u52d5\u529b\u63a8\u7b97\u5f0f\uff09<\/h2>\n\n\n\n<p>\u3053\u3053\u307e\u3067\u3067\u3001\u7c92\u5b50\u5f84\u3068\u6295\u5165\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3092\u793a\u3059\u7c89\u7815\u901f\u5ea6\u5f0f\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u6b21\u306b\u5fc5\u8981\u306a\u306e\u306f\u3001<strong>\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u3001\u30dc\u30fc\u30eb\u30df\u30eb\u306e\u904b\u8ee2\u6761\u4ef6\u3068\u3069\u306e\u3088\u3046\u306b\u7d50\u3073\u3064\u304f\u304b<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u95a2\u4fc2\u304c\u5206\u304b\u308c\u3070\u3001\u4efb\u610f\u306e\u30df\u30eb\u5f84\u3001\u56de\u8ee2\u6570\u3001\u5145\u586b\u7387\u3067\u3069\u306e\u7a0b\u5ea6\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u4e0e\u3048\u3089\u308c\u308b\u304b\u3092\u63a8\u7b97\u3067\u304d\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7c89\u7815\u901f\u5ea6\u5f0f\u306b\u4ee3\u5165\u3059\u308c\u3070\u3001\u7c92\u5b50\u5f84\u306e\u5909\u5316\u3092\u4e88\u6e2c\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u3001\u5358\u4f4d\u6642\u9593\u3042\u305f\u308a\u306b\u4e0e\u3048\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u3059\u306a\u308f\u3061\u52d5\u529b\u3092\u00a0P\u00a0\u3068\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u3053\u3067\u306f\u6bd4\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3057\u3066\u6271\u3044\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u3001\u30b9\u30e9\u30ea\u30fc\u4f53\u7a4d\u00a0V\u00a0\u3067\u5272\u3063\u3066\u8003\u3048\u307e\u3059\u3002\u3059\u308b\u3068\u3001\u6642\u523b\u00a0t\u00a0\u307e\u3067\u306e\u6295\u5165\u30a8\u30cd\u30eb\u30ae\u30fc\u306f<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>E<\/mi><mo>=<\/mo><mfrac><mi>P<\/mi><mi>V<\/mi><\/mfrac><mi>t<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">E=\\frac{P}{V} t<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3068\u66f8\u3051\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/www.blogger.com\/blog\/post\/edit\/7026973157148678023\/5263985616858592468#\"><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEhijkgnRJejocO51CDDMA6_tmzRg-wlOJNdPYskKH9cch3sbqYM8UZ3x0KYCRIbodRsFHu36ZJU-jSRfVj28oBOWa6urqbM72ORX895aiodo7O4cgPhkCQ_MmOSh7UQP2o_isWQFP5eP618zy_7HZk07Kk3IrEUxaUPkcyVotwQVVePF-njj0i8AFe9nEAW=w640-h605\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<p>Liddell, K. S., &amp; Moys, M. H. (1988).&nbsp;<em>The effects of mill speed and filling on the behaviour of the load in a rotary grinding mill.<\/em>&nbsp;Journal of South African Ins. Min. Metall., 88, 49\u201357.<\/p>\n\n\n\n<p>\u4e0a\u8a18\u306e\u8ad6\u6587\u3067\u7d39\u4ecb\u3055\u308c\u3066\u3044\u308b\u52d5\u529b\u63a8\u7b97\u5f0f\u3068\u3057\u3066\u4e0b\u8a18\u306e\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Hogg and Fuerstenau\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>P<\/mi><mo>=<\/mo><mn>3.627<\/mn><msub><mi>\u03c1<\/mi><mi>b<\/mi><\/msub><mi>\u03d5<\/mi><mi>L<\/mi><msup><mi>D<\/mi><mn>2.5<\/mn><\/msup><mrow><mi>sin<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><mtext>\u2061<\/mtext><mn>3<\/mn><mi>\u03b8<\/mi><mrow><mspace width=\"0.1667em\"><\/mspace><mi>sin<\/mi><mo>\u2061<\/mo><mspace width=\"0.1667em\"><\/mspace><\/mrow><mtext>\u2061<\/mtext><mi>\u03b1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">P=3.627\u03c1_b\u03d5LD^{2.5}\\sin\u20613\u03b8\\sin\u2061\u03b1<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Bond\u578b\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>P<\/mi><mo>=<\/mo><mn>12.262<\/mn><msub><mi>\u03c1<\/mi><mi>b<\/mi><\/msub><mi>\u03d5<\/mi><mi>L<\/mi><msup><mi>D<\/mi><mn>2.3<\/mn><\/msup><mi>J<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mn>0.937<\/mn><mi>J<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mn>0.12<\/mn><mrow><mn>9<\/mn><mo>\u2212<\/mo><mn>10<\/mn><mi>\u03d5<\/mi><\/mrow><\/mfrac><mtext>&nbsp;<\/mtext><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P=12.262\u03c1_b\u03d5LD^{2.3}J(1\u22120.937J)(1\u2212\\frac{0.12}{9\u221210\u03d5}\\\n)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Harris\u7cfb\u30fbLiddell &amp; Moys\u306e\u5f0f<\/h3>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mi>P<\/mi><mo>\u221d<\/mo><msub><mi>\u03c1<\/mi><mi>b<\/mi><\/msub><mi>\u03d5<\/mi><mi>L<\/mi><msup><mi>D<\/mi><mn>2.5<\/mn><\/msup><mi>J<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mi>J<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P\u221d\u03c1_b\u03d5LD^{2.5}J(1\u2212J)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3053\u3053\u3067\u3001<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03c1b\u200b\uff1a\u30dc\u30fc\u30eb\u306e\u898b\u304b\u3051\u5bc6\u5ea6<\/li>\n\n\n\n<li>\u03d5\uff1a\u81e8\u754c\u56de\u8ee2\u6570\u306b\u5bfe\u3059\u308b\u76f8\u5bfe\u56de\u8ee2\u6570<\/li>\n\n\n\n<li>L\uff1a\u30df\u30eb\u5e45<\/li>\n\n\n\n<li>D\uff1a\u30df\u30eb\u5f84<\/li>\n\n\n\n<li>J\uff1a\u30dc\u30fc\u30eb\u5145\u586b\u7387<\/li>\n<\/ul>\n\n\n\n<p>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u6587\u732e\u3054\u3068\u306b\u4fc2\u6570\u3084\u8a18\u53f7\u306e\u5b9a\u7fa9\u306f\u591a\u5c11\u7570\u306a\u308a\u307e\u3059\u304c\u3001\u91cd\u8981\u306a\u306e\u306f\u3001<strong>\u52d5\u529b\u304c\u4f55\u306b\u5f37\u304f\u4f9d\u5b58\u3059\u308b\u304b<\/strong>\u3067\u3059\u3002\u3044\u305a\u308c\u306e\u5f0f\u3067\u3082\u3001\u52d5\u529b\u306f\u304a\u304a\u3080\u306d<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30dc\u30fc\u30eb\u5bc6\u5ea6\u00a0\u03c1b<\/li>\n\n\n\n<li>\u76f8\u5bfe\u56de\u8ee2\u6570\u00a0\u03d5<\/li>\n\n\n\n<li>\u30df\u30eb\u5e45\u00a0L<\/li>\n\n\n\n<li>\u30df\u30eb\u5f84\u306e 2.3\uff5e2.5 \u4e57<\/li>\n\n\n\n<li>\u30dc\u30fc\u30eb\u5145\u586b\u7387\u00a0J<\/li>\n\n\n\n<li>\u7a7a\u304d\u7387\u306b\u5bfe\u5fdc\u3059\u308b\u00a0(1\u2212J)<\/li>\n<\/ul>\n\n\n\n<p>\u306b\u4f9d\u5b58\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><\/h2>\n\n\n\n<p>\u5b9f\u7528\u4e0a\u306f\u3001<strong>Harris\u7cfb\u3084Liddell &amp; Moys\u7cfb\u306e\u7c21\u7565\u5f62\u306f\u69cb\u9020\u304c\u5206\u304b\u308a\u3084\u3059\u304f\u3001\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u306e\u4e00\u6b21\u8fd1\u4f3c\u3068\u3057\u3066\u6271\u3044\u3084\u3059\u3044<\/strong>\u305f\u3081\u3001\u304a\u3059\u3059\u3081\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u7279\u306b\u76f8\u4f3c\u5f62\u306e\u30df\u30eb\u3067\u30b9\u30b1\u30fc\u30eb\u30a2\u30c3\u30d7\u3059\u308b\u5834\u5408\u3001\u30df\u30eb\u4f53\u7a4d\u306f<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><msub><mi>V<\/mi><mtext>mill<\/mtext><\/msub><mo>\u221d<\/mo><mfrac><mi>\u03c0<\/mi><mn>4<\/mn><\/mfrac><mi>L<\/mi><msup><mi>D<\/mi><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">V_{\\text{mill}}\u221d\\frac{\\pi}{4}LD^2<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p>\u3068\u66f8\u3051\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u76f8\u4f3c\u6761\u4ef6\u3068\u3057\u3066<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30dc\u30fc\u30eb\u5bc6\u5ea6\u00a0\u03c1b\u306f\u4e00\u5b9a<\/li>\n\n\n\n<li>\u30dc\u30fc\u30eb\u5145\u586b\u7387\u00a0J\u00a0\u306f\u4e00\u5b9a<\/li>\n\n\n\n<li>\u30df\u30eb\u5f62\u72b6\u306f\u76f8\u4f3c<\/li>\n<\/ul>\n\n\n\n<p>\u3068\u4eee\u5b9a\u3059\u308b\u3068\u3001\u6bd4\u52d5\u529b\u306f\u4e00\u6b21\u8fd1\u4f3c\u3068\u3057\u3066<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mfrac><mi>P<\/mi><msub><mi>V<\/mi><mtext>mill<\/mtext><\/msub><\/mfrac><mo>\u221d<\/mo><mi>\u03d5<\/mi><msup><mi>D<\/mi><mn>0.5<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{P}{V_{\\text{mill}}} \\propto \\phi 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