In this note the velocity field and the adequate shear stress corresponding to the unsteady flow of a fractional Maxwell fluid due to a constantly accelerating circular cylinder have been determined by means of the Laplace and finite Hankel transforms. The obtained solutions satisfy all imposed initial and boundary conditions. They can easily be reduced to give similar solutions for ordinary Maxwell and Newtonian fluids. Finally, the influence of pertinent parameters on the fluid motion, as well as a comparison between models, is underlined by graphical illustrations.
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Quaid I Azam Univ, Dept Math, Islamabad, PakistanQuaid I Azam Univ, Dept Math, Islamabad, Pakistan
Nadeem, Sohail
Sherif, El-Sayed M.
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King Saud Univ, Dept Mech Engn, Coll Engn, Riyadh, Saudi ArabiaQuaid I Azam Univ, Dept Math, Islamabad, Pakistan
Sherif, El-Sayed M.
Ahmad, Hijaz
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Int Telemat Univ Uninettuno, Sect Math, Rome, ItalyQuaid I Azam Univ, Dept Math, Islamabad, Pakistan
Ahmad, Hijaz
Thounthong, Phatiphat
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King Mongkuts Univ Technol North Bangkok, Renewable Energy Res Ctr, Dept Teacher Training Elect Engn, Fac Tech Educ, Bangkok, ThailandQuaid I Azam Univ, Dept Math, Islamabad, Pakistan
Thounthong, Phatiphat
Rehman, Aysha
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Univ Gujrat, Dept Math, Gujrat City, PakistanQuaid I Azam Univ, Dept Math, Islamabad, Pakistan
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Abdus Salam School of Mathematical Sciences,GC University,Lahore,Pakistan
Department of Mathematics,NED University of Engineering & Technology,Karachi-75270,PakistanAbdus Salam School of Mathematical Sciences,GC University,Lahore,Pakistan