Hindawi Publishing Corporation ISRN Mathematical Physics Volume 2013, Article ID 485805, 10 pages http://dx.doi.org/10.1155/2013/485805 Research Article MHD Accelerated Flow of Maxwell Fluid in a Porous Medium and Rotating Frame Faisal Salah, 1,2 Zainal Abdul Aziz, 1,3 Mahad Ayem, 3 and Dennis Ling Chuan Ching 4 1 UTM Centre for Industrial and Applied Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia 2 Department of Mathematics, Faculty of Science, University of Kordofan, 51111 El Obeid, Sudan 3 Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia 4 Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, 31750 Tronoh, Perak, Malaysia Correspondence should be addressed to Zainal Abdul Aziz; abdulazizzainal@gmail.com Received 13 June 2013; Accepted 13 August 2013 Academic Editors: K. Netocny and R. Parwani Copyright © 2013 Faisal Salah et al. his is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. he magnetohydrodynamic (MHD) and rotating low of Maxwell luid induced by an accelerated plate is investigated. he Maxwell luid saturates the porous medium. Both constant and variable accelerated cases are considered. Exact solution in each case is derived by using Fourier sine transform. Many interesting available results in the relevant literature are obtained as the special cases of the present analysis. he graphical results are presented and discussed. 1. Introduction Several luids including butter, cosmetics and toiletries, paints, lubricants, certain oils, blood, mud, jams, jellies, shampoo, soaps, soups, and marmalades have rheological characteristics and are referred to as the non-Newtonian luids. he rheological properties of all these luids cannot be explained by using a single constitutive relationship between stress and shear rate which is quite diferent than the viscous luids [1, 2]. Such understanding of the non-Newtonian luids forced researchers to propose more models of non- Newtonian luids. In general, the classiication of the non-Newtonian luid models is given under three categories which are called the diferential, the rate, and the integral types [3]. Out of these, the diferential and rate types have been studied in more detail. In the present analysis we discuss the Maxwell luid which is the subclass of rate-type luids which take the relax- ation phenomenon into consideration. It was employed to study various problems due to its relatively simple structure. Moreover, one can reasonably hope to obtain exact solutions from Maxwell luid. his motivates us to choose the Maxwell model in this study. he exact solutions are important as these provide standard reference for checking the accuracy of many approximate solutions which can be numerical or empirical in nature. hey can also be used as tests for verifying numerical schemes that are being developed for studying more complex low problems [4–9]. On the other hand, these equations in the non-Newtonian luids ofer exciting challenges to mathematical physicists for their exact solutions. he equations become more problem- atic, when a non-Newtonian luid is discussed in the presence of MHD and porous medium. Despite this fact, various researchers are still making their interesting contributions in the ield (e.g., see some recent studies [1–15]). Few investi- gations which provide the examination of non-Newtonian luids in a rotating frame are also presented [1–19]. Such studies have special relevance in meteorology, geophysics, and astrophysics. To the best of our knowledge, no investigation has been reported so far which discusses the accelerated lows of non- Newtonian luids in a rotating frame. his is the objective of the present study. Here, we examine the rotating and MHD low induced by an accelerated plate. Two explicit examples of acceleration subject to a rigid plate are taken into account. Constitutive equations of a Maxwell luid are