Abstract
In this analysis motion of an incompressible fractional OldroydB fluid [IFOBF] in an annulus is studied. The movement in fluid is created
by the motion of the both cylinders. At (t = 0+), the inner cylinder exerts
rotational shear which is time dependent and outer cylinder moves with
time depended linear velocity. The analysis of velocity field and shear
stress are made with the help of integral transform techniques. For simplicity and better perception, generalized R and G functions are used to
represent the obtained results. These solutions are satisfied all the imposed
conditions. By imposing favourable limits, general solution is reduced
to ordinary Oldroyd-B, Maxwell, second grade and Newtonian fluids for
the same motion. From the final expressions of velocity fields and shear
stress, we recover the previously obtained results by choosing some limits. Finally, the effect of parameters and their comparison are explained
graphically.
Naeem Sadiq, Muhammad Imran, Rabia Safdar, Madeeha Tahir, Maria Javaid, Muhammad Younas. (2018) Exact Solution for Some Rotational Motions of Fractional Oldroyd-B Fluids Between Circular Cylinders, Punjab University Journal of Mathematics, Volume 50, Issue 4.
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