A power-law fluid has the following rheological constants: (n=0.5) and (Lambda=0.8 mathrm{~Pa} cdot mathrm{s}^{n}). It is pumped

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A power-law fluid has the following rheological constants: \(n=0.5\) and \(\Lambda=0.8 \mathrm{~Pa} \cdot \mathrm{s}^{n}\).

It is pumped in a pipe of diameter \(2 \mathrm{~cm}\) and length \(5 \mathrm{~m}\). The pipe is changed to one of diameter \(4 \mathrm{~cm}\). What is the change in flow rate if the same pressure drop is applied?

What is the pressure drop if the same flow is to be maintained?

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