{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,5]],"date-time":"2024-07-05T21:55:53Z","timestamp":1720216553250},"reference-count":23,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>Natural convection heat transfer in a two-dimensional square enclosure at various angles of inclination is investigated numerically using a finite volume based computational procedure. The heat transfer is from a constant temperature heat source of finite length centred at one of the walls to the cold wall on the opposite side while the remaining walls are insulated. The effect of area ratio of the heat source<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>A<\/mml:mi><\/mml:mrow><\/mml:math>from 0.2 to 1.0, Rayleigh number Ra from 10<jats:sup>3<\/jats:sup>to 10<jats:sup>7<\/jats:sup>, and angle of inclination of the enclosure<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03b8<\/mml:mi><\/mml:mrow><\/mml:math>varying from 0\u00b0 to 360\u00b0 on the flow field and heat transfer characteristics are investigated. Streamline and isothermal line patterns are found to be similar at low Rayleigh numbers whereas at high Rayleigh numbers the differences are significant due to the influence of the parameters considered. Average Nusselt number decreases drastically as the position of the heat source is moved above the horizontal centre line of the enclosure. Correlation of the average Nusselt number which depends on the parameters of interest is obtained in the general form<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>C<\/mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">R<\/mml:mi><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:msup><mml:msup><mml:mrow><mml:mi>A<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math>. The correlation coefficients are determined by multiple regression analysis for the entire range of Rayleigh numbers analysed and the values found by correlation equations are in good agreement with the numerical results.<\/jats:p>","DOI":"10.1155\/2015\/985218","type":"journal-article","created":{"date-parts":[[2015,10,1]],"date-time":"2015-10-01T21:18:56Z","timestamp":1443734336000},"page":"1-9","source":"Crossref","is-referenced-by-count":3,"title":["Numerical Investigation of Laminar Natural Convection in Inclined Square Enclosure with the Influence of Discrete Heat Source"],"prefix":"10.1155","volume":"2015","author":[{"given":"Chithra","family":"Devaraj","sequence":"first","affiliation":[{"name":"Sri Ramakrishna Engineering College, Vattamalaipalayam, NGGO Colony, Coimbatore 641 022, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eswaramurthi","family":"Muthuswamy","sequence":"additional","affiliation":[{"name":"Velalar College of Engineering and Technology, Thindal, Erode, Tamil Nadu 638 012, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sundararaj","family":"Kandasamy","sequence":"additional","affiliation":[{"name":"Sri Ramakrishna Engineering College, Vattamalaipalayam, NGGO Colony, Coimbatore 641 022, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/104077901752379620"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/0017-9310(84)90145-5"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7930(91)90025-D"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650180705"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1080\/10407790.2013.806693"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1017\/s0022112080001012"},{"issue":"1","key":"7","first-page":"641","volume":"36","year":"2005","journal-title":"Indian Journal of Pure and Applied Mathematics"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1115\/1.2137761"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1590\/s0104-66322013000400020"},{"issue":"2","key":"10","first-page":"41","volume":"2","year":"2007","journal-title":"ARPN Journal of Engineering and Applied Sciences"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/S1290-0729(02)00019-4"},{"issue":"5","key":"12","first-page":"603","volume":"43","year":"2004","journal-title":"Alexandria Engineering Journal"},{"issue":"2","key":"13","first-page":"43","volume":"23","year":"2005","journal-title":"International Journal of Heat and Technology"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijheatmasstransfer.2007.06.031"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1115\/1.3000608"},{"issue":"3","key":"16","first-page":"35","volume":"14","year":"2006","journal-title":"Thermal Science and Engineering"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1115\/1.2717241"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1115\/1.1571847"},{"issue":"1","key":"19","first-page":"1","volume":"28","year":"2010","journal-title":"International Journal of Heat and Technology"},{"issue":"1","key":"20","first-page":"109","volume":"6","year":"2011","journal-title":"Journal of Engineering Science and Technology"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/0017-9310(76)90168-x"},{"key":"22","year":"1980"},{"key":"23","year":"2008"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/985218.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/985218.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/985218.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,27]],"date-time":"2016-07-27T22:26:48Z","timestamp":1469658408000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/985218\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":23,"alternative-id":["985218","985218"],"URL":"https:\/\/doi.org\/10.1155\/2015\/985218","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}