The Hagen-Poiseuille equation (Equation 6.11) describes the laminar flow of a Newtonian fluid in a tube. Since
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The Hagen-Poiseuille equation (Equation 6.11) describes the laminar flow of a Newtonian fluid in a tube. Since a Newtonian fluid is defined by the relation $\tau=\mu \dot{\gamma}$, rearrange the HagenPoiseuille equation to show that the shear rate at the tube wall for a Newtonian fluid is given by $\dot{\gamma}_{w}=4 Q / \pi R^{3}=8 V / D$.
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Chemical Engineering Fluid Mechanics
ISBN: 9781498724432
3rd Edition
Authors: Ron Darby, Raj P Chhabra
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