Problem: Viscous blood is flowing through an artery partially clogged by cholesterol. A surgeon wants to remove enough of the cholesterol to double the flow rate of blood through this artery. If the original diameter of the artery is Dexttip{D}{D}, what should be the new diameter (in terms of Dexttip{D}{D}) be to accomplish this for the same pressure gradient?

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Viscous blood is flowing through an artery partially clogged by cholesterol. A surgeon wants to remove enough of the cholesterol to double the flow rate of blood through this artery. If the original diameter of the artery is D, what should be the new diameter (in terms of D) be to accomplish this for the same pressure gradient?