{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T13:43:22Z","timestamp":1783691002695,"version":"3.55.0"},"reference-count":16,"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>A theoretical analysis is presented for the peristaltic motion of a magneto-hydrodynamic (MHD) non-Newtonian fluid in channel with complaint walls. The fluid obeys viscoelastic non-Newtonian model with Burger\u2019s constitutive equation. The relevant equations are first developed and then solved using perturbation technique. Expressions of stream function and velocity components are constructed under the assumption that<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03b4<\/mml:mi><\/mml:mrow><\/mml:math>(characteristic ratio of transversal and axial scales of peristaltic motion) is small. The results indicate the strong effects of Burger\u2019s fluid parameter, Hartman number, Reynolds number, and complaint wall parameters on the velocity field and stream function. The obtained solutions are shown graphically for the different values of involved parameters.<\/jats:p>","DOI":"10.1155\/2014\/236483","type":"journal-article","created":{"date-parts":[[2014,10,28]],"date-time":"2014-10-28T21:34:11Z","timestamp":1414532051000},"page":"1-12","source":"Crossref","is-referenced-by-count":5,"title":["Flow of a Burger\u2019s Fluid in a Channel Induced by Peristaltic Compliant Walls"],"prefix":"10.1155","volume":"2014","author":[{"given":"I.","family":"Ahmad","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"N.","family":"Ali","sequence":"additional","affiliation":[{"name":"Faculty of Basic and Applied Sciences, Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Abbasi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"W.","family":"Aziz","sequence":"additional","affiliation":[{"name":"Department of Computer Sciences and Information Technology, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Taj","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Q.","family":"Zaman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Azad Jammu & Kashmir, Muzaffarabad 13100, Pakistan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112069000899"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.04.031"},{"key":"3","first-page":"669","volume":"33","year":"1968","journal-title":"Journal of Applied Mechanics"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s00707-007-0468-2"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s10808-005-0142-1"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2007.03.013"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2009.06.015"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9290(73)90024-9"},{"issue":"9","key":"9","first-page":"1317","volume":"32","year":"2001","journal-title":"Indian Journal of Pure and Applied Mathematics"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2006.07.007"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.04.010"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s11242-007-9196-2"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1002\/htj.20380"},{"key":"14","volume-title":"Mechanical considerations-model systems-phenomenological theories of relaxation and of viscosity","year":"1935"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/S0040-1951(97)00134-0"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1007\/s002690100189"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/236483.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/236483.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/236483.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T14:32:33Z","timestamp":1471530753000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/236483\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":16,"alternative-id":["236483","236483"],"URL":"https:\/\/doi.org\/10.1155\/2014\/236483","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}