I want to calculate the shear stress in a rectangular straight/curved channel (the geometry of the rectangle will be fixed), What is the equation that I can use? and also if I want to simulate the shear stress using COMSOL. Does anyone have a clue?
Is your flow laminar (and fully-developed)? If so, there are analytical solution to the Navier-Stokes equations for such a flow, form which one can obtain the wall shear stress, however, the equations are more complex than for a circular duct/pipe or the flow between two infinite flat plates. One can also calculate the friction factor (as a function of the duct aspect ratio), from you can get the get pressure drop and/or wall shear stress. The key words to Google would be "flow in rectangular ducts" or "flow in non-circular ducts". If the flow is turbulent, you will need to resort to empirical correlations. When the duct curves, it gets more complicated...
Laurent Mydlarski Thanks Dr. Mydlarski, the flow in our system is laminar and newtonian. I have searched with these keywords and usually I end up with poiseuille equation for circular channel. I only end up with the formula for rectangular channel that I have attached in this message. Can you direct me on how to find an analytical solution from Navier-stokes equation for such a flow in circular and rectangular channel? Can I derive such an equation for both wall shear stress and shear stress in the media?
Best,
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