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Point the flow rate water and and the pressure

Q (m³ s-1) γ (s-1) ΔP (Pa)
6.000×10-8 4889 25820
1.200×10-7 9778 36140
3.000×10-7

24450

58670
6.000×10-7
82140
1.200×10-6
98570

c. Plot the rheogram and determine analytically the rheological parameters of this fluid.

[16 marks]
d. Explain which changes in the fermentation broth might have caused the rheological properties observed. [8 marks]

90°, flanged

0.3

45°, threaded

0.4

1.5

Tees

Branch flow, flanged

1.0

0.15

Gate, ½ closed

0.05

Ball valve, ⅓ closed

Appendix to BENG0001 Coursework 1

γ = 2πNr𝑖
(r0 − r𝑖)

Q = πr4∆p
8μL

Modified (or extended) Bernoulli equation

𝑚̇ = 𝜌𝑄

Carman-Kozeny equation

∆𝑃 = 180. 𝜇. 𝑣𝑇. 𝐿(1 − 𝜀)2 2
𝜀3𝑑𝑝

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