In a pumpless system, a power-law fluid is flowing at an average velocity of 1.0 m/s through a smooth, horizontal tube 6 meters long that has an actual inside diameter of 1.5 cm. The specific gravity of the fluid is 0.976. The rheological properties of the fluid
can be modeled as a (simple) power-law fluid with the following coefficients:
K = 9 N s^n m^-2
n = 0.454
(a) What is the apparent viscosity at this flow rate? ___________

Question

(b) What is the equivalent Reynolds number ___________________

(c) What is the pressure drop along the tube length? _____________ (Be sure to include units)

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Notes on the units of pressure when used in the friction equation Problem \#3c. involves solving for

? ? p = \frac{2 f ( V ) ^{2} L ?}{D}

Which has the units

= \frac{( \frac{m}{s} ) ^{2} ( m ) ( \frac{k g}{m ^{3}} )}{m}

Which reduces to

\frac{kg}{m ? s ^{2}}

Pressure, in

Pa

, is

(\frac{N}{m ^{2}}) = \frac{kg ( m / s ^{2} )}{m ^{2}} = \frac{kg}{m ? s ^{2}}

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