• OSCILLATORY FLOW OF A GENERALISED OLDROYED-B FLUID THROUGH A POROUS MEDIUM IN A ROTATING SYSTEM IN PRESENCE OF A TRANSVERSE MAGNETIC FIELD

D. Bose*, U. Basu

Abstract


An exact solution for the oscillatory flow of a generalised Oldroyed-B fluid in a horizontal channel embedded in a porous medium is obtained in this paper. A uniform magnetic field is applied along the axis perpendicular to the plane of the plates about which the entire system rotates with angular velocity A fractional calculus approached has been used in which the time derivative term of integer order is replaced by the Caputo fractional calculus operator in the constitutive equation to obtain the velocity field in series form in terms of Mittage-Leffler function by utilizing the integral transform technique. The dependence of the velocity field on the pertinent parameters is illustrated graphically.


Keywords


Oldroyed-B fluid, Porous Medium, Transverse Magnetic Field, Fractional derivative, Mittage-Leffler function

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