The velocity field and the adequate tangential stress that is induced by the flow due to a constantly accelerating plate in an Oldroyd-B fluid, are determined by means of Fourier sine transforms. The solutions corresponding to a Maxwell, Second grade and Navier-Stokes fluid appear as limiting cases of the solutions obtained here. However, in marked contrast to the solution for a Navier-Stokes fluid, in the case of an Oldroyd-B fluid oscillations are set up which decay exponentially with time. (c) 2005 Elsevier Inc. All rights reserved.
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Mohammad Ali Jinnah Univ, Dept Math, Islamabad, PakistanMohammad Ali Jinnah Univ, Dept Math, Islamabad, Pakistan
Ramzan, M.
Farooq, M.
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Quaid I Azam Univ, Dept Math, Islamabad, PakistanMohammad Ali Jinnah Univ, Dept Math, Islamabad, Pakistan
Farooq, M.
Alhothuali, M. S.
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King Abdulaziz Univ, Fac Sci, Jeddah, Saudi ArabiaMohammad Ali Jinnah Univ, Dept Math, Islamabad, Pakistan
Alhothuali, M. S.
Malaikah, H. M.
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King Abdulaziz Univ, Fac Sci, Jeddah, Saudi ArabiaMohammad Ali Jinnah Univ, Dept Math, Islamabad, Pakistan
Malaikah, H. M.
Cui, W.
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King Abdulaziz Univ, Fac Sci, Jeddah, Saudi Arabia
Shanghai Ocean Univ, Hadal Sci & Technol Res Ctr, Shanghai, Peoples R ChinaMohammad Ali Jinnah Univ, Dept Math, Islamabad, Pakistan