Sample Sidebar Module

This is a sample module published to the sidebar_top position, using the -sidebar module class suffix. There is also a sidebar_bottom position below the menu.

Sample Sidebar Module

This is a sample module published to the sidebar_bottom position, using the -sidebar module class suffix. There is also a sidebar_top position below the search.
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ABSTRACT:

This paper present a research for the magetohydrodynamic (MHD)helical flows of an incompressible generalized Oldoyd-B fluid in concentric cylinders and circular cylinder. the fractional calculus approach is introduced to establish the constitutive relation ship of the Oldroyd-B fluid . The exact analytical solution are obtianed by means of integral transform method Laplace transform and finite Hankel transform.The solution of velocity fields and the shear stresses of unsteady magetohydrodynamic (MHD)helical flows of an Oldoyd-B fluid in an annular pipe are obtained under series form in terms of Mittag –leffler function,satisfy all imposed initial and boundary condition , Finally ,some characteristic of the motion as well as the influence of material parameters on the velocity and shear stress