{"id":156388,"date":"2023-08-30T15:22:04","date_gmt":"2023-08-30T09:52:04","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156388"},"modified":"2023-08-30T15:22:07","modified_gmt":"2023-08-30T09:52:07","slug":"a-slender-rod-of-length-l-diameter-d-l-d-and-thermal-conductivity-k1-is-joined-with-another-rod-of-identical-dimensions-but-of-thermal","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-slender-rod-of-length-l-diameter-d-l-d-and-thermal-conductivity-k1-is-joined-with-another-rod-of-identical-dimensions-but-of-thermal\/","title":{"rendered":"A slender rod of length L, diameter d ( L >> d ) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal"},"content":{"rendered":"\n<p>Q. A slender rod of length <em>L<\/em>, diameter <em>d <\/em>( <em>L <\/em>>> <em>d <\/em>) and thermal conductivity <em>k<\/em><sub>1<\/sub> is joined with another rod of identical dimensions, but of thermal conductivity <em>k<\/em><sub>2<\/sub> , to form a composite cylindrical rod of length 2<em>L <\/em>. The heat transfer in radial direction and contact resistance are negligible. The effective thermal conductivity of the composite rod is<\/p>\n\n\n\n<p>Ans: <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"56\" height=\"43\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-58.png\" alt=\"\" class=\"wp-image-156389\"\/><\/figure>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"362\" height=\"464\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-645-1.png\" alt=\"\" class=\"wp-image-156392\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-645-1.png 362w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-645-1-234x300.png 234w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A slender rod of length L, diameter d ( L >> d ) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal conductivity k2 , to form a composite cylindrical rod of length 2L . The heat transfer in radial direction and contact resistance are negligible. The effective [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":156391,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-156388","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156388","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156388"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156388\/revisions"}],"predecessor-version":[{"id":156393,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156388\/revisions\/156393"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156391"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156388"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156388"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156388"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}