{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T07:05:50Z","timestamp":1771484750389,"version":"3.50.1"},"reference-count":36,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"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":[[2014]]},"abstract":"<jats:p>The onset of double diffusive convection is investigated in a Maxwell fluid saturated porous layer with internal heat source. The modified Darcy law for the Maxwell fluid is used to model the momentum equation of the system, and the criterion for the onset of the convection is established through the linear and nonlinear stability analyses. The linear analysis is obtained using the normal mode technique, and the nonlinear analysis of the system is studied with the help of truncated representation of Fourier series. The effects of internal Rayleigh number, stress relaxation parameter, normalized porosity, Lewis number, Vadasz number and solute Rayleigh number on the stationary, and oscillatory and weak nonlinear convection of the system are shown numerically and graphically. The effects of various parameters on transient heat and mass transfer are also discussed and presented analytically and graphically.<\/jats:p>","DOI":"10.1155\/2014\/489279","type":"journal-article","created":{"date-parts":[[2014,4,9]],"date-time":"2014-04-09T17:23:29Z","timestamp":1397064209000},"page":"1-12","source":"Crossref","is-referenced-by-count":9,"title":["Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source"],"prefix":"10.1155","volume":"2014","author":[{"given":"Moli","family":"Zhao","sequence":"first","affiliation":[{"name":"Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiangyong","family":"Zhang","sequence":"additional","affiliation":[{"name":"Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaowei","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, Shandong 250061, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.85.026306"},{"issue":"4","key":"2","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/s002310050191","volume":"33","year":"1998","journal-title":"Heat and Mass Transfer"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s00419-011-0512-5"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0065-2717(08)70029-7"},{"issue":"4","key":"5","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1108\/02644400010334801","volume":"17","year":"2000","journal-title":"Engineering Computations"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/s11004-005-5954-2"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2005.07.008"},{"key":"8","year":"2008"},{"key":"9","year":"2009"},{"key":"10","year":"2006"},{"key":"11","volume":"iii","year":"2005"},{"key":"12","year":"2005"},{"key":"13","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1063\/1.1707601","volume":"16","year":"1945","journal-title":"Journal of Applied Physics"},{"key":"14","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1017\/S030500410002452X","volume":"44","year":"1948","journal-title":"Proceedings of the Cambridge Philosophical Society"},{"issue":"12","key":"15","doi-asserted-by":"crossref","first-page":"863","DOI":"10.1002\/(SICI)1096-9853(199712)21:12<863::AID-NAG923>3.0.CO;2-F","volume":"21","year":"1997","journal-title":"International Journal for Numerical and Analytical Methods in Geomechanics"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(98)00038-3"},{"issue":"4","key":"17","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1080\/10407789808913947","volume":"33","year":"1998","journal-title":"Numerical Heat Transfer A"},{"issue":"7","key":"18","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1002\/(SICI)1096-9853(199906)23:7<629::AID-NAG986>3.0.CO;2-K","volume":"23","year":"1999","journal-title":"International Journal for Numerical and Analytical Methods in Geomechanics"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(99)80003-6"},{"key":"20","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1002\/1099-0887(200102)17:2<101::AID-CNM391>3.0.CO;2-P","volume":"17","year":"2001","journal-title":"Communications in Numerical Methods in Engineering"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-246X.2003.02032.x"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023283421049"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.tecto.2004.06.007"},{"issue":"7","key":"24","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1016\/S0735-1933(97)00090-0","volume":"24","year":"1997","journal-title":"International Communications in Heat and Mass Transfer"},{"issue":"1\u20134","key":"25","first-page":"219","volume":"133","year":"1999","journal-title":"Acta Mechanica"},{"key":"26","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/s11242-006-0012-1","volume":"67","year":"2007","journal-title":"Transport in Porous Media"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-006-0024-x"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2004.1328"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-011-9811-0"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-011-9903-x"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.01.024"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2008.12.013"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-009-9377-2"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1016\/S0017-9310(03)00363-6"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1063\/1.3601482"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1063\/1.3194288"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/489279.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/489279.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/489279.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T07:18:29Z","timestamp":1498115909000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/489279\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":36,"alternative-id":["489279","489279"],"URL":"https:\/\/doi.org\/10.1155\/2014\/489279","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}