The fully-developed, steady,Poiseuilleflow of a liquidina horizontal, circular cylinderwith no swirl (i.e., Vθ= 0)under certain simplifying...

The fully-developed, steady,Poiseuilleflow of a liquidina horizontal, circular cylinderwith no swirl (i.e., Vθ= 0)under certain simplifying assumptions is given by:

Vz = (−∆???)4?(R2 –r2)Vr = 0Vθ= 0Here, Ris the inner radius of the pipe and r, θand zare the (cylindrical) coordinates of any point inside the pipe.Apply the continuity equation in cylindrical coordinates (Appendix B.8 of the text), given by()()()0zr1rrr1t=+++zrVVVto this flow (giving reasons why you drop each term) and obtain an ordinary differential equation for Vr. Integrate your solution and apply appropriate boundary conditions to obtain Vr.

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samet mamat answered 4 months ago

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