A note on the second problem of Stokes for Maxwell fluids |
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| Authors: | Corina Fetecau M. Jamil Constantin Fetecau I. Siddique |
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| Affiliation: | aDepartment of Theoretical Mechanics, Technical University of Iasi, Bd. Professor D. Mangeron No. 67, Iasi 700050, Romania;bAbdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan;cDepartment of Mathematics, Technical University of Iasi, Iasi 700050, Romania;dDepartment of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan |
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| Abstract: | New exact solutions corresponding to the second problem of Stokes for Maxwell fluids have been established by means of Laplace transforms. For large times, these solutions reduce to the well-known steady-state solutions which are periodic in time and independent of the initial conditions. Furthermore, the transient solutions are in accordance with the previous solutions obtained using the Fourier sine transform. The required time to get the steady-state is determined by graphical illustrations. This time decreases if the frequency of the velocity increases. The effects of the material parameters on the decay of the transients in time are also investigated by graphs. |
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| Keywords: | Second problem of Stokes Maxwell fluids New exact solutions |
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