On the Validity of Boundary Layer Theory for Simulating von Karman Flows of Bingham Fluids

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  • Ahmadpour Ali
    Center of Excellence in the Design and Optimization of Energy Systems (CEDOES) School of Mechanical Engineering, College of Engineering, University of Tehran
  • Ghasemi Mohsen
    Center of Excellence in the Design and Optimization of Energy Systems (CEDOES) School of Mechanical Engineering, College of Engineering, University of Tehran
  • Jamali Jalil
    Islamic Azad University, Shoushtar Branch
  • Sadeghy Kayvan
    Center of Excellence in the Design and Optimization of Energy Systems (CEDOES) School of Mechanical Engineering, College of Engineering, University of Tehran

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The von Karman flow of an incompressible Bingham fluid is studied numerically under laminar and steady conditions. Boundary layer theory is used to simplify the equations of motion assuming that the flow is axisymmetric. A suitable similarity parameter is used to reduce the governing partial differential equations into a system of coupled ordinary differential equations. The equations so-obtained are then solved numerically using MATLAB software. The effect of yield stress is investigated on the validity of boundary layer approximation for this particular fluid when compared with known exact solution. It is shown that for Bingham fluids, the boundary layer theory is valid provided that the Reynolds number is sufficiently large and the Bingham number is sufficiently small.

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