Exact Solutions of Steady Plane Flows of an Incompressible Fluid of Variable Viscosity Using (ξ, ψ)- Or (η, ψ)- Coordinates

The exact solutions of the equations describing the steady plane motion of an incompressible fluid of variable viscosity for an arbitrary state equation are determined in the (ξ,ψ) − or (η,ψ )- coordinates where ψ(x,y) is the stream function, ξ and η are the parts of the analytic function, ϖ =ξ( x,y )+iη( x,y ). Most of the solutions involve arbitrary function/ functions indicating 
that the flow equations possess an infinite set of solutions. 

• Rana Khalid Naeem
• Asif Mansoor
• Waseem Ahmed Khan
• Aurangzaib

• Exact solutions
• Fluid of variable viscosity
• Navier-Stokes equations
• Steady plane flows

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