Derive expression in terms of the inlet radius


If the tapering of the tube is not too severe, then the flow is nearly Poiseuille and can be described by Q=((-pi*R^4)/8mu)*dp/dx. Using this expression as well as dR=(R^2/(E*h))dp, derive an expression for R in terms of the inlet radius R0, mu, the flow rate Q, E, tube thickness h, and the axial position within the tube, x.

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Mechanical Engineering: Derive expression in terms of the inlet radius
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