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Four cases of different inlet volume flow rates are considered in this study including (1) constant acceleration piston motion, (2) suddenly started flow, (3) linear acceleration piston motion, and (4) oscillatory piston motion. The solution for each case is elaborately derived, and the results of associated velocity profile and pressure gradients are presented in analytical forms.<\/jats:p>","DOI":"10.1155\/2012\/869357","type":"journal-article","created":{"date-parts":[[2012,7,3]],"date-time":"2012-07-03T21:02:48Z","timestamp":1341349368000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Unsteady Unidirectional MHD Flow of Voigt Fluids Moving between Two Parallel Surfaces for Variable Volume Flow Rates"],"prefix":"10.1155","volume":"2012","author":[{"given":"Wei-Fan","family":"Chen","sequence":"first","affiliation":[]},{"given":"Hsin-Yi","family":"Lai","sequence":"additional","affiliation":[]},{"given":"Cha\u2032o-Kuang","family":"Chen","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,3]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0735-1933(00)00204-9"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.010"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.icheatmasstransfer.2007.05.009"},{"key":"e_1_2_6_4_2","first-page":"67","article-title":"Some exact solution of the hydrodynamic equations of a viscous fluid in the case of a cylindrical tube","volume":"11","author":"Szymanski P.","year":"1932","journal-title":"Journal De Mathematiques Pures Et Appliquees"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0257(94)01293-Q"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7225(00)00026-4"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(95)00035-6"},{"key":"e_1_2_6_8_2","first-page":"1510","article-title":"An analytic solution and investigation of character of viscoelastic fluids in double-gap concentric cylinder rheometer","volume":"38","author":"Huang J.","year":"1995","journal-title":"Science in China"},{"key":"e_1_2_6_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7462(95)00018-J"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.1304843"},{"key":"e_1_2_6_11_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112098002572"},{"key":"e_1_2_6_12_2","first-page":"245","article-title":"Transient unidirectional flow of a Maxwell fluid between two parallel surfaces with different volume flow rate conditions","volume":"23","author":"Chen C. 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