Using the profile of Problem 8.15, show that the flow rate for fully developed laminar flow of a power-law fluid between stationary parallel plates may be written as

\[Q=\left(\frac{h}{k} \frac{\Delta p}{L}\right)^{1 / n} \frac{2 n w h^{2}}{2 n+1}\]

Here \(w\) is the plate width. In such an experimental setup the following data on applied pressure difference \(\Delta p\) and flow rate \(Q\) were obtained:

Determine if the fluid is pseudoplastic or dilatant and obtain an experimental value for \(n\).

Data From Problem 8.15

Transcribed Image Text:

Ap (kPa) 10 20 30 40 50 60 70 80 90 100 Q (L/min) 0.451 0.759 1.01 1.15 1.41 1.57 1.66 1.85 2.05 2.25