Question

ii. Show that the velocity profile and the maximum velocity are also given by the following expressions. [10 marks] Page 3 of 4 $V(y) = \frac{nh}{n+1} \left( \frac{\tau_w}{\eta} \right)^{\frac{1}{n}} \left\{ 1 - \left( \frac{y}{h} \right)^{\frac{n+1}{n}} \right\} V_{max} = \frac{nh}{n+1} \left( \frac{\tau_w}{\eta} \right)^{\frac{1}{n}} where $\tau_w$ is shear stress at the wall.

          ii.
Show that the velocity profile and the maximum velocity are also given by
the following expressions.
[10 marks]
Page 3 of 4
$V(y) = \frac{nh}{n+1} \left( \frac{\tau_w}{\eta} \right)^{\frac{1}{n}} \left\{ 1 - \left( \frac{y}{h} \right)^{\frac{n+1}{n}} \right\}
V_{max} = \frac{nh}{n+1} \left( \frac{\tau_w}{\eta} \right)^{\frac{1}{n}}
where \(\tau_w\) is shear stress at the wall.

$ii. Show that the velocity profile and the maximum velocity are also given by the following expressions. [10 marks] Page 3 of 4 V(y) = (nh)/(n+1)( ()/(η))^(1)/(n){ 1 - ( (y)/(h))^(n+1)/(n)} Vmax = (nh)/(n+1)( ()/(η))^(1)/(n) where is shear stress at the wall.$

Added by Jeff B.

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