%0 Journal Article %A Rana Khalid Naeem and Waseem Ahmed Khan and Muhammad Akhtar and Asif Mansoor %D 2009 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 33, 2009 %T Some Rotational Flows of an Incompressible Fluid of Variable Viscosity %U https://publications.waset.org/pdf/11824 %V 33 %X The Navier Stokes Equations (NSE) for an incompressible fluid of variable viscosity in the presence of an unknown external force in Von-Mises system x,\ are transformed, and some new exact solutions for a class of flows characterized by equation y f x a\b for an arbitrary state equation are determined, where f x is a function, \ the stream function, a z 0 and b are the arbitrary constants. In three, out of four cases, the function f x is arbitrary, and the solutions are the solutions of the flow equations for all the flows characterized by the equationy f x a\b. Streamline patterns for some forms of f x in unbounded and bounded regions are given. %P 692 - 697