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ReserarchID
2KF13
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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The unsteady Couette flow with transpiration of a viscous fluid in a rotating system has been considered. An exact solution of the governing equations has been obtained by using Laplace Transform Technique. Solutions for velocity distributions and the shear stresses have been obtained for small time 𝝉𝝉= 𝟎𝟎. 𝟎𝟎𝟓𝟓 as well as large time 𝝉𝝉= 𝟏𝟏𝟎𝟎. 𝟎𝟎. it is found that for small times the primary velocity profile increases with decrease in 𝑲𝑲 𝟐𝟐 with constant 𝑹𝑹𝒆𝒆 while the secondary velocity profile decreases with decrease in 𝑲𝑲 𝟐𝟐 . It is also found that for large times, the primary flow increases with increase in 𝑲𝑲 𝟐𝟐 , the secondary velocity behaves in an oscillatory manner near the moving plate and increases near the stationary plate. There exists a back flow in the region 𝟎𝟎. 𝟎𝟎 ≪ 𝝋𝝋 ≪ 𝟏𝟏. 𝟎𝟎. The shear stress due to primary flow decreases with increase in 𝑲𝑲 𝟐𝟐 . On the other hand, it increases due to secondary flow with increase in rotation parameter with constant 𝑹𝑹𝒆𝒆 for small times. It is also observed that the shear stress for large time with constant 𝑹𝑹𝒆𝒆 shows layers of separation in both primary and secondary flow due to high rotation..
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