Question: where: k is consistence coefficient r is pipe radius l is pipe length s is radial position measure from centre of the pipe P is

where: k is consistence coefficient r is pipe radius l is pipe length s is radial position measure from centre of the pipe P is pressure drop. 3 P 134 s 43 ux 42kl r31r(i) Using the above equation write down the equation for centre line velocity in terms of rheological parameters of the fluid and dimensions of the pipe. [3 MARKS](ii) Derive an equation for volumetric flow rate of the fluid. [6 MARKS](iii) Write down the equation relating the mean velocity of flow to centreline velocity. [6 MARKS]

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