Flow Velocity- Guranteed to be Laminar

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SUMMARY

The maximum average flow velocity for water flowing through a pipe with a diameter of 50.0 mm at 20°C, ensuring laminar flow, can be determined using the Reynolds number formula: Re = (pvd)/n. For laminar flow in a circular pipe, the Reynolds number must be less than 2000. Given the properties of water at 20°C (density p = 998 kg/m³ and dynamic viscosity n = 1.0 x 10^-3 Pa.s), users can calculate the maximum velocity by selecting an appropriate Reynolds number that guarantees laminar flow.

PREREQUISITES
  • Understanding of the Reynolds number and its significance in fluid dynamics
  • Knowledge of fluid properties such as density and viscosity
  • Familiarity with basic equations of fluid mechanics
  • Ability to perform calculations involving units of measurement (e.g., converting m/s to mm/s)
NEXT STEPS
  • Calculate the maximum average flow velocity using the Reynolds number for laminar flow
  • Explore the effects of pipe diameter on flow characteristics in fluid dynamics
  • Study the transition between laminar and turbulent flow in various pipe configurations
  • Learn about the implications of fluid viscosity on flow rates in engineering applications
USEFUL FOR

Students studying fluid mechanics, engineers involved in pipe design, and anyone interested in understanding laminar flow conditions in fluid systems.

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Homework Statement



Q) Water (p = 998 kg/m^3
, n = 1.0*10^-3 Pa.s at 20C) at 20C flows through a pipe of
diameter 50.0 mm. What is the maximum average flow velocity if the flow is
guaranteed to be laminar? Give your answer in mm/s.

Homework Equations



Reynolds number=(pvd)/n

The Attempt at a Solution


I am absolutely stumped on this last question for my assignment, I have no idea what to or how to calculate the flow from just these given constants.
 
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You're given everything you need for the equation, except for the "soft" values Reynolds numbers that are a result of laminar flow. Most agree on the following:

for circular pipe flow only

laminar: Re < 2000
transitional: 2000 < Re < 4000
turbulent: Re > 4000

So, pick a Re that you think will "guarantee" laminar flow, plug n chug.

Hope I didn't just give it away too easily, but the values of Re were the only thing that you were missing.
 

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