A small hose in a drug manufacturing machine is carrying a viscous fluid at a certain speed.
When the machine is first turned on the fluid flows through the hose such that the Reynold's number is 1800.
As the machine runs it warms up and the fluid, and hose, get hotter. This results in a reduction of the density of the fluid of 1.61%, a reduction in the viscosity of the fluid of 6.74%, and an increase in the diameter of the hose by 1.50%.
Assuming the speed of the fluid is kept constant, what is the Reynold's number now? (to 3 s.f)
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