{"id":182,"date":"2024-04-09T22:43:45","date_gmt":"2024-04-09T13:43:45","guid":{"rendered":"https:\/\/www.flumen-jp.com\/wordpress\/?p=182"},"modified":"2024-04-10T00:00:07","modified_gmt":"2024-04-09T15:00:07","slug":"ratinal-eq","status":"publish","type":"post","link":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/2024\/04\/09\/ratinal-eq\/","title":{"rendered":"\u5408\u7406\u5f0f\u5c0f\u567a"},"content":{"rendered":"\n<p>\u2003\u4eca\u56de\u306f\u5408\u7406\u5f0f\u306e\u8a71\u3067\u3059\u3002\u767a\u6848\u8005\u306f\u30a8\u30df\u30eb\uff65\u30af\u30a4\u30d2\u30ea\u30f3\u30b0\uff08Emil Kuichling \u72ec 1848-1914\uff09\u3067\u3059\u3002\u524d\u56de\u306e Manning \u3055\u3093\u3088\u308a 30 \u6b73\u307b\u3069\u82e5\u3044\u4eba\u3067\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"534\" height=\"720\" src=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/kuichling.png\" alt=\"\" class=\"wp-image-183\" style=\"width:500px\" srcset=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/kuichling.png 534w, https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/kuichling-223x300.png 223w\" sizes=\"auto, (max-width: 534px) 100vw, 534px\" \/><\/figure>\n\n\n\n<div style=\"height:32px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u30ad\u30e3\u30ea\u30a2<\/h3>\n\n\n\n<p>1868\u3000\u30ed\u30c1\u30a7\u30b9\u30bf\u30fc\u5927\u5b66 (NY) \u5352<br>1873-1900\u3000\u30ed\u30c1\u30a7\u30b9\u30bf\u30fc\u5e02\u6c34\u9053\u5c40\u30001890- \u6280\u5e2b\u9577<br>\u30ed\u30c1\u30a7\u30b9\u30bf\u30fc\u79d1\u5b66\u30a2\u30ab\u30c7\u30df\u30fc\u4f1a\u982d\u3000ASCE \u526f\u4f1a\u9577<\/p>\n\n\n\n<div style=\"height:33px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u5408\u7406\u5f0f\u306e\u8d77\u6e90<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u521d\u51fa\u306f The relation between the rainfall and the discharge of sewers in populous districts. Trans. ASCE 20: 1-60.1889<\/li>\n<\/ul>\n\n\n\n<p>$$<br>Q_p = C \\cdot i \\cdot A<br>$$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8ad6\u6587\u540d\u306e\u901a\u308a\u90fd\u5e02\u57df\u306e\u96e8\u6c34\u6392\u6c34\u304c\u5bfe\u8c61<\/li>\n\n\n\n<li>\u5b9a\u5f0f\u5316\u306b\u306f\u81f3\u3089\u306a\u304b\u3063\u305f\u3082\u306e\u306e\u3001\u57fa\u672c\u7684\u306a\u30a2\u30a4\u30c7\u30a2\u306f 1851 \u5e74\u306b\u30a2\u30a4\u30eb\u30e9\u30f3\u30c9\u306e\u30de\u30eb\u30f4\u30a1\u30cd\u30a4\u3068\u3044\u3046\u4eba\u304c\u63d0\u793a\u3057\u3066\u3044\u305f\u6a21\u69d8<\/li>\n\n\n\n<li>\u82e5\u5e72\u3001\u9045\u308c\u3066 \u30ed\u30a4\u30c9\u30fb\u30c7\u30fc\u30f4\u30a3\u30b9\uff08\u82f1\uff09\u3082 1905 \u5e74\u306b\u73fe\u5728\u7528\u3044\u3089\u3066\u3044\u308b\u6b21\u5f0f\uff08\u5b9f\u969b\u306f\u5358\u4f4d\u7cfb\u30fb\u6d41\u51fa\u7387\u306e\u8868\u73fe\u304c\u7570\u306a\u308b\uff09\u3092\u63d0\u6848\u3057\u305f<\/li>\n<\/ul>\n\n\n\n<p>$$<br>Q_p = \\frac{1}{3.6} \\cdot f \\cdot r \\cdot A<br>$$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4f55\u6642 \u300c\u5408\u7406\u5f0f\uff08\u30e9\u30b7\u30e7\u30ca\u30eb\u5f0f\uff09\u300d \u3068\u79f0\u305b\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u304b\u3001\u306f\u4e0d\u660e\u3067\u3042\u308b\u304c\u30011932 \u5e74\u306e ASCE \u306e\u8ad6\u6587\u96c6\u306b\u306f\u3001\u5148\u4eba\u306e\u5049\u5927\u306a\u696d\u7e3e\u3067\u3042\u308b \u300cso called rational method\u300d \u306a\u308b\u8a18\u8f09\u304c\u3042\u308b<\/li>\n\n\n\n<li>\u6211\u304c\u56fd\u3067\u306f\n<ul class=\"wp-block-list\">\n<li>1914 \u5e74\u306b\u7269\u90e8\u9577\u7a42\u304c\u6210\u66f8\u300c\u6c34\u7406\u5b66\u300d\u3067\u300c\u6700\u5927\u6d41\u51fa\u91cf\u306e\u7b97\u5b9a\u5f0f\u300d\u3068\u3057\u3066\u7d39\u4ecb\u3002\u51fa\u5178\u3092\u660e\u3089\u304b\u306b\u3057\u306a\u304b\u3063\u305f\u306e\u3067\u3001\u4ee5\u5f8c\u300c\u7269\u90e8\u516c\u5f0f\u300d\u3068\u3055\u308c\u305f\uff08\u78ba\u4fe1\u72af\uff1f\uff09<\/li>\n\n\n\n<li>1915 \u5e74\u306b\u6771\u4eac\u5e9c\u4e0b\u6c34\u9053\u6539\u826f\u4e8b\u52d9\u6240\u306e\u7c73\u5143\u664b\u4e00\u304c\u30ed\u30a4\u30c9\u30fb\u30c7\u30fc\u30f4\u30a3\u30b9\u306e\u8ad6\u6587\u3092\u300c\u5408\u7406\u7684\u8a08\u7b97\u6cd5\u300d\u3068\u3057\u3066\u5f15\u7528<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:33px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u5408\u7406\u5f0f\u306f\u5408\u7406\u7684\u304b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/dl.ndl.go.jp\/view\/download\/digidepo_9382354_po_a05a0p17.pdf?contentNo=1&amp;alternativeNo=\">\u77f3\u539f\uff65\u9ad8\u68f9\u3089<\/a>\u306f\u4e0b\u56f3\u306e\u3088\u3046\u306b\u6d2a\u6c34\u5230\u9054\u6642\u9593\u3092\u3068\u308c\u3070\u5408\u7406\u5f0f\u304c\u6c34\u7406\u5b66\u7684\u306b\u3082\u6210\u7acb\u3001\u3064\u307e\u308a\u7406\u8ad6\u7684\u306b\u8aac\u660e\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u305f<\/li>\n<\/ul>\n\n\n\n<p>$$<br>Q_p = Q(t_2) = \\frac{r_m A}{3.6}\\quad<br>r_m = \\frac{1}{t_p}\\int_{t_1}^{t_2}\\!\\!r_e\\,dt<br>$$<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"309\" height=\"167\" src=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/takasao.png\" alt=\"\" class=\"wp-image-184\" style=\"width:500px\" srcset=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/takasao.png 309w, https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/takasao-300x162.png 300w\" sizes=\"auto, (max-width: 309px) 100vw, 309px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u305f\u3060\u3057\u3001\u6709\u52b9\u964d\u96e8\u306f\u7a7a\u9593\u7684\u306b\u4e00\u69d8\u3001\u659c\u9762\u52fe\u914d\u306f\u4e00\u5b9a\u3001\u304c\u524d\u63d0\u306a\u306e\u3067\u3001\u3080\u3084\u307f\u306b\u5927\u304d\u306a\u96c6\u6c34\u57df\u3067\u306f\u9069\u7528\u3067\u304d\u306a\u3044<\/li>\n<\/ul>\n\n\n\n<div style=\"height:32px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u3055\u3089\u3070 (\u5e7b\u306e) \u30af\u30e9\u30fc\u30d8\u30f3\u5f0f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.dpri.kyoto-u.ac.jp\/nenpo\/no19\/19b2\/a19b2p09.pdf\">\u89d2\u5c4b\u3089<\/a>\u306f\u524d\u9801\u306e\u65b9\u6cd5\u3067\u5b9f\u6d41\u57df\u306e\u6d2a\u6c34\u5230\u9054\u6642\u9593\u3068\u5e73\u5747\u6709\u52b9\u964d\u96e8\u5f37\u5ea6\u306e\u6a19\u672c\u3092\u4f5c\u6210\u3057\u3001\u6d2a\u6c34\u5230\u9054\u6642\u9593\u306e\u63a8\u5b9a\u5f0f\u3068\u3057\u3066\u6b21\u5f0f\u3092\u63d0\u6848<\/li>\n<\/ul>\n\n\n\n<p>$$<br>t_p = CA^{0.22}\/r_m^{0.35}<br>$$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3057\u304b\u308b\u306b\u3001\u6211\u56fd\u3067\u306f\u6d2a\u6c34\u306e\u4f1d\u64ad\u901f\u5ea6 \\(W\\) \u306e\u63a8\u5b9a\u306b\u6b21\u306e\u300cRziha \u306e\u5f0f\u300d\u3084\u300cKraven \u306e\u5f0f\u300d\u3092\u7528\u3044\u3066\u6d2a\u6c34\u5230\u9054\u6642\u9593\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u591a\u3044<\/li>\n<\/ul>\n\n\n\n<p>$$<br>\u00a0 \\begin{align*}&amp;W = 20 \\left( \\frac{H}{L} \\right)^{0.6}&amp; \\mbox{Rziha}\\\\&amp;W = \\begin{cases}3.5 &amp; 1\/100\\le H\/L \\\\3.0 &amp; 1\/200\\le H\/L &lt; 1\/100 \\\\2.1 &amp; \\hphantom{1\/200\\ge\\,\\,} H\/L&lt;1\/200\\end{cases}&amp; \\mbox{Kraven}\\end{align*}<br>$$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/library.jsce.or.jp\/Image_DB\/mag\/m_jsce\/42-01\/42-1-14176.pdf\">\u4e95\u53e3\u660c\u5e73<\/a>\u306f 1957 \u5e74\u306b\u3053\u308c\u3089\u306e\u7531\u7dd2\u3092\u8ffd\u8de1\u3057\u3066\n<ul class=\"wp-block-list\">\n<li>Kraven \u306e\u5f0f\u306a\u308b\u3082\u306e\u306f\u5b58\u5728\u305b\u305a\u3001Kaven\uff08Kraven \u3067\u306f\u306a\u3044\uff09\u306e\u8abf\u67fb\u7d50\u679c\u3092 Rziha \u304c\u7d39\u4ecb\u3057\u305f\u306b\u904e\u304e\u306a\u3044<\/li>\n\n\n\n<li>Rziha \u306e\u5f0f\u3082\u300c\u30d0\u30a4\u30a8\u30eb\u30f3\u5730\u65b9\u3067\u3064\u304b\u3044\u306a\u3089\u3055\u308c\u3066\u3044\u308b\u5f0f\u300d\u3068\u3057\u3066\u5f7c\u304c\u7d39\u4ecb\u3057\u305f\u3060\u3051\u3002\u5f53\u56fd\uff08\u72ec\uff09\u3067\u306e\u8a55\u5224\u306f\u3088\u308d\u3057\u304f\u306a\u3044<\/li>\n\n\n\n<li>\u7d50\u8ad6\u306f\u3001<strong>\u4f55\u3067\u65e5\u672c\u3067\u4f7f\u308f\u308c\u51fa\u3057\u305f\u306e\u304b\u7686\u76ee\u4e0d\u660e<\/strong>\uff08\u7269\u90e8\u9577\u7a42\u304c\u300c\u6c34\u7406\u5b66\u300d\u3067\u7d39\u4ecb\u3057\u305f\u304b\u3089\uff1f\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e73\u5747\u964d\u96e8\u5f37\u5ea6<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e0b\u56f3\u306f\u964d\u96e8\u89b3\u6e2c\u6240\u306e\u964d\u96e8\u5f37\u5ea6\u66f2\u7dda\u3068\u6d41\u57df\u5e73\u5747\u96e8\u91cf\u306e\u305d\u308c\u3092\u6bd4\u8f03\u3057\u305f\u3082\u306e\u3002\u5e74\u8d85\u904e\u78ba\u7387\u306f 1\/30\u3002\u6d41\u57df\u5e73\u5747\u96e8\u91cf\u306f\u89e3\u6790\u96e8\u91cf\u3092\u7528\u3044\u3066\u63a8\u5b9a<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/dulation-1024x768.png\" alt=\"\" class=\"wp-image-185\" style=\"width:500px\" srcset=\"https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/dulation-1024x768.png 1024w, https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/dulation-300x225.png 300w, https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/dulation-768x576.png 768w, https:\/\/www.flumen-jp.com\/wordpress\/wp-content\/uploads\/2024\/04\/dulation.png 1496w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u70b9\u96e8\u91cf\u306e\u6975\u5024\u306f\u6d41\u57df\u5e73\u5747\u96e8\u91cf\u306e\u305d\u308c\u3088\u308a\u5927\u304d\u3044\u304b\u3089\u5f53\u7136\u306e\u7d50\u679c\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u70b9\u96e8\u91cf\u306e\u964d\u96e8\u5f37\u5ea6\u5f0f\u306b\u4f9d\u62e0\u3057\u3066\u3044\u308b\u4e2d\u5c0f\u6cb3\u5ddd\u306e\u8a08\u753b\u9ad8\u6c34\u6d41\u91cf\u306f\u904e\u5927\u8a55\u4fa1\u3068\u306a\u3063\u3066\u3044\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u3002\u3072\u3044\u3066\u306f\u8d85\u904e\u6d2a\u6c34\u6642\u306b\u4e0b\u6d41\u6cb3\u5ddd\u306b\u904e\u5270\u306a\u8ca0\u8377\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u61f8\u5ff5\u3055\u308c\u308b<\/li>\n\n\n\n<li>\u305d\u3082\u305d\u3082\u8ad6\u3068\u3057\u3066\u306f\u3001\u9069\u7528\u7bc4\u56f2\u3092\u8d85\u3048\u3066\u5408\u7406\u5f0f\u3092\u63a1\u7528\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u62e0\u308b\u3002\u30a2\u30e1\u30ea\u30ab\u306e\u6280\u8853\u57fa\u6e96\u3067\u306f 200\u30a8\u30fc\u30ab\u30fc (0.8 km<sup>2<\/sup>) \u3092\u9069\u7528\u53ef\u80fd\u306a\u96c6\u6c34\u57df\u9762\u7a4d\u306e\u4e0a\u9650\u3068\u3057\u3066\u3044\u308b<\/li>\n\n\n\n<li>\u8fd1\u5e74\u306f\u4e2d\u5c0f\u6cb3\u5ddd\u306b\u304a\u3044\u3066\u3082\u6c34\u6587\u89b3\u6e2c\u4f53\u5236\u304c\u6574\u3063\u3066\u304d\u3066\u3044\u308b\u306e\u3067\u3001\u304d\u3061\u3093\u3068\u964d\u96e8\u3068\u6d41\u51fa\u306e\u95a2\u4fc2\u3092\u898b\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308b\u306e\u3067\u306f\u306a\u304b\u308d\u3046\u304b<\/li>\n\n\n\n<li>\u3064\u3044\u3067\u306b\u8a00\u3046\u3068\u3001\u30c6\u30a3\u30fc\u30bb\u30f3\u3055\u3093\u304c\u63d0\u6848\u3057\u305f\u6d41\u57df\u5e73\u5747\u96e8\u91cf\u306e\u8a08\u7b97\u6cd5\u306f\u4e00\u4e16\u7d00\u524d\u306e\u7523\u7269\u3002\u3044\u3064\u307e\u3067\u4f7f\u3044\u7d9a\u3051\u308b\uff1f<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u2003\u4eca\u56de\u306f\u5408\u7406\u5f0f\u306e\u8a71\u3067\u3059\u3002\u767a\u6848\u8005\u306f\u30a8\u30df\u30eb\uff65\u30af\u30a4\u30d2\u30ea\u30f3\u30b0\uff08Emil Kuichling \u72ec 1848-1914\uff09\u3067\u3059\u3002\u524d\u56de\u306e Manning \u3055\u3093\u3088\u308a 30 \u6b73\u307b\u3069\u82e5\u3044\u4eba\u3067\u3059\u3002 \u30ad\u30e3\u30ea\u30a2 1868\u3000\u30ed\u30c1\u30a7\u30b9\u30bf\u30fc\u5927\u5b66 (NY) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-182","post","type-post","status-publish","format-standard","hentry","category-misc"],"_links":{"self":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/comments?post=182"}],"version-history":[{"count":21,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/182\/revisions"}],"predecessor-version":[{"id":206,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/posts\/182\/revisions\/206"}],"wp:attachment":[{"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/media?parent=182"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/categories?post=182"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.flumen-jp.com\/wordpress\/index.php\/wp-json\/wp\/v2\/tags?post=182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}