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Closed form solutions for unsteady free convection flow of a second grade fluid over an oscillating vertical plate
Farhad Ali1, Ilyas Khan2, Sharidan Shafie1
1Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru Johor, Malaysia.
Abstract:
Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of Prandtl number Pr, thermal Grashof number Gr, viscoelastic parameter α, phase angle ωτ and time τ. Numerical values of skin friction τ 0 and Nusselt number Nu are shown in tables. Some well-known solutions in literature are reduced as the limiting cases of the present solutions.
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