SHEAR STRESS ANALYSIS IN A ROTATOR-STATOR SYSTEM. IX International PHOENICS Users Conference Moscow, 24 th September 2002. AUTHORS. Chemtech - A Siemens Company, Rio de Janeiro / RJ – Brazil Petrobras / CENPES, Rio de Janeiro / RJ – Brazil. Flávio Martins de Queiroz Guimarães
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IX International PHOENICS Users Conference
Moscow, 24th September 2002
Chemtech - A Siemens Company, Rio de Janeiro / RJ – Brazil
Petrobras / CENPES, Rio de Janeiro / RJ – Brazil
Flávio Martins de Queiroz Guimarães
Bruno de Almeida Barbabela
Luiz Eduardo Ganem Rubião
Finite – elements approach with a 6 (six) nodes quadrilateral element.
For the solution of the gradient profile, the partial derivatives are solved as a sum of the variable node values pondered by the shape functions derived in respect to the spatial coordinates.
The solution of the Navier – Stokes Equations for a Couette like flow were described following:
For the case of inner cylinder rotating with angular velocity and the outer cylinder stationary:
Integrating the angular component between the boundary conditions limits:
The shear stress components in cylindrical-polar coordinates are given by:
The velocity profile and the rotating wall shear stress were compared for both cases in order to verify the precision of the system.