{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:46:12Z","timestamp":1753886772270,"version":"3.41.2"},"reference-count":42,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,29]],"date-time":"2012-05-29T00:00:00Z","timestamp":1338249600000},"content-version":"vor","delay-in-days":149,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two\u2010dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into a highly non\u2010linear ordinary differential equation. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). Graphical results are presented to investigate the influence of the squeeze number on the velocity, skin friction, and pressure gradient. The validity of our solutions is verified by the numerical results obtained by shooting method, coupled with Runge\u2010Kutta scheme.<\/jats:p>","DOI":"10.1155\/2012\/938624","type":"journal-article","created":{"date-parts":[[2012,6,5]],"date-time":"2012-06-05T15:27:18Z","timestamp":1338910038000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Two\u2010Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates"],"prefix":"10.1155","volume":"2012","author":[{"given":"Saeed","family":"Dinarvand","sequence":"first","affiliation":[]},{"given":"Abed","family":"Moradi","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,29]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(98)00085-7"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.10.005"},{"key":"e_1_2_6_3_2","unstructured":"Liao The proposed homotopy analysis technique for the solution of non-linear problems Ph.D. thesis 1992 Shanghai Jiao Tong University."},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.2478\/s11534-008-0145-7"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.11.029"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/fld.2489"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.07.035"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2006.7.4.399"},{"key":"e_1_2_6_9_2","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1515\/zna-2009-1203","article-title":"Application of He\u2032s homotopy perturbation method for solving fractional Fokker-Planck equations","volume":"64","author":"Mousa M. 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