**Commenced**in January 2007

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**Edition:**International

**Paper Count:**32731

##### Some Rotational Flows of an Incompressible Fluid of Variable Viscosity

**Authors:**
Rana Khalid Naeem,
Waseem Ahmed Khan,
Muhammad Akhtar,
Asif Mansoor

**Abstract:**

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.

**Keywords:**
Bounded and unbounded region,
Exact solution,
Navier Stokes equations,
Streamline pattern,
Variable viscosity,
Von- Mises system

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1078003

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