The Influence of Ekman Number on Flows Over an Oscillating Isothermal Vertical Plate in a Rotating Frame

Unsteady flows of a Newtonian fluid past an oscillating infinite isothermal vertical plate in a rotating frame are studied. Two closed forms of the velocity field are determined by means of Laplace transform method and by the technique of coupling of the homotopy perturbation method with the Laplace transform method. The equivalence of the obtained expressions for the velocity is provided. The friction coefficients are determined and, the influence of Ekman number on the velocity field is analyzed by graphical illustrations. It is obtained that, the faster frame rotations reduce the thickness of moving fluid layer.

Keywords:

Isothermal plate , Oscillating flows , Rotating fluid , Ekman number