{"id":1837,"date":"2024-07-30T07:47:28","date_gmt":"2024-07-30T07:47:28","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=1837"},"modified":"2024-07-30T07:47:29","modified_gmt":"2024-07-30T07:47:29","slug":"volumetric-efficiency","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/07\/30\/volumetric-efficiency\/","title":{"rendered":"\u00a0Volumetric Efficiency"},"content":{"rendered":"\n<p id=\"para-043\">The volumetric efficiency of a compressor is the ratio of actual free air delivered to the displacement of the compressor.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page261b.png\" alt=\"equation\"\/><\/figure>\n\n\n\n<p id=\"para-045\"><a><\/a>Substituting the value of&nbsp;<em>V<\/em><sub>4<\/sub>&nbsp;in&nbsp;<a href=\"https:\/\/learning.oreilly.com\/library\/view\/basic-mechanical-engineering\/9789332524415\/xhtml\/chapter010.xhtml#img-010\">Eq. (10.1)<\/a>, we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262.png\" alt=\"equation\"\/><\/figure>\n\n\n\n<p id=\"para-046\">Where \u2208 is clearance ratio&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262a.png\" width=\"31\" height=\"43\">&nbsp;and&nbsp;<em>r<\/em>&nbsp;is pressure ratio&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262b.png\" width=\"31\" height=\"43\"><\/p>\n\n\n\n<p id=\"para-047\"><strong>Example 10.1:<\/strong>&nbsp;A single cylinder, single acting air compressor has a cylinder diameter of 150 mm and stroke of 300 mm. It draws air into the cylinder at a pressure of 1 bar and temperature 27\u00b0C. This air is then compressed adiabatically to a pressure of 8 bar if the compressor runs at a speed of 120 rpm. Find<\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-001\">\n<li>Mass of air compressed per cycle.<\/li>\n\n\n\n<li>Work required per cycle.<\/li>\n\n\n\n<li>Power required to drive the compressor.<\/li>\n<\/ol>\n\n\n\n<p id=\"para-048\">Neglect the clearance volume and take R = 0.287 kJ\/kg K.<\/p>\n\n\n\n<p id=\"para-049\">Solution:<\/p>\n\n\n\n<ol class=\"wp-block-list\" id=\"ol-002\">\n<li>Mass of air compressed&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/pg262_2.png\" alt=\"equation\" width=\"60\">&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262c.png\" alt=\"equation\" width=\"306\"><\/li>\n\n\n\n<li>Work required per cycle,<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262d.png\" alt=\"equation\" width=\"175\" height=\"67\">&nbsp;<img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/pg262_3.png\" alt=\"equation\" width=\"345\"><\/li>\n\n\n\n<li>Power required to run the compressor = Work required per cycle \u00d7 cycle per sec&nbsp;<img loading=\"lazy\" decoding=\"async\" alt=\"equation\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page262e.png\" width=\"158\" height=\"34\"><\/li>\n<\/ol>\n\n\n\n<p id=\"para-050\"><strong>Example 10.2:<\/strong>&nbsp;A single-stage reciprocating compressor is required to compress 1 kg of air from 1 to 5 bar. Initial temperature of air is 27\u00b0C. Calculate work for isothermal, isentropic, and polytropic compression for&nbsp;<em>n<\/em>&nbsp;= 1.25.<\/p>\n\n\n\n<p id=\"para-051\">Solution:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332524415\/files\/images\/page263.png\" alt=\"equation\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The volumetric efficiency of a compressor is the ratio of actual free air delivered to the displacement of the compressor. Substituting the value of&nbsp;V4&nbsp;in&nbsp;Eq. (10.1), we get Where \u2208 is clearance ratio&nbsp;&nbsp;and&nbsp;r&nbsp;is pressure ratio&nbsp; Example 10.1:&nbsp;A single cylinder, single acting air compressor has a cylinder diameter of 150 mm and stroke of 300 mm. It [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1838,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[340],"tags":[],"class_list":["post-1837","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-air-compressors"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/07\/clock.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1837","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=1837"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1837\/revisions"}],"predecessor-version":[{"id":1839,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/1837\/revisions\/1839"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/1838"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=1837"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=1837"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=1837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}