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Hall effects on the oscillatory Couette flow between two horizontal parallel plates are studied. One of the plate is at rest and the other one oscillates in its own plane. The effects of Hall and frequency parameters on the velocities and the shear stresses for the steady and unsteady flows are analyzed. It is found that the shear stresses at the M stationary plate due to the unsteady primary and...
Hall effects on the unsteady MHD flow of a viscous incompressible electrically conducting fluid between two disks with reference to non-coaxial parallel axes of rotation have been studied. It is rigorously stated that there arises an axisymmetric solution of this problem as referred to a rigid body rotation. An exact solution of the governing equation has been obtained by applying the Laplace transform...
A mathematical model for a two-phase blood flow through a circular narrow vessel has been developed by considering blood to be a non-Newtonian liquid of Herschel-Bulkley type and taking into consideration the slip velocity at the wall of the vessel. Analytical expressions for velocities of blood in the peripheral layer and central core layer, flow rate and apparent fluidity of blood have been obtained...
The paper deals with the investigation of an elastodynamic response of an infinite orthotropic medium containing a central crack under normal impact loading. Laplace and Fourier integral transforms are employed to reduce the dimensional wave propagation problem to the solution of a pair of dual integral equations in the Laplace transform plane. These integral equations are then reduced to integral...
The problem of a pair of equal collinear Griffith cracks propagating with constant velocity under antiplane shear stress at the interface of two bonded dissimilar fixed isotropic layers has been considered. The method of Fourier transforms is employed and the problem is reduced to the solution of a singular integral equation, which has finally been solved numerically by using Chebyshev polynomials...
The paper deals with three collinear Griffith cracks propagating with constant velocity under antiplane shear stress at the interface of an elastic layer of finite thickness h and a semi-infinite half plane of different elastic properties. The Fourier transform technique is used to reduce the elastodynamic problem to the solution of a set of integral equations which has been solved by using the finite...
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