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Test case introduction

  • Flow in channel with sudden widening
  • Test case geometry:
openfoam tutorial backward facing step pitzDaily sketch

Figure: Backward-Facing-Step geometry

  • Physical properties:
    • Inlet velocity: U = 10 m/s
    • Inlet width: h = 2.54 cm
    • Turbulent air flow, $ \nu = 1\cdot10^{-5} \Rightarrow Re \approx 25 400 $
    • Incompressible fluid flow
    • Isothermal
    • Steady state

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Pump Efficiency

The pump efficiency can be evaluated using following efficiency formula: img99 where $ \eta$ denotes the efficiency, $ M$ is the torque, $ \omega$ is the angular velocity, $ Q$ is the volume flow rate and $ h$ is the specific enthalpy which can be evaluated as follows: img97 1 Subscript in means averaged quantities at the inlet, whereas subscript out denotes averaged quantities at the outlet. The evaluation of pump efficiency for different patches is also possible.