The flow of glycerine (kinematic viscosity V = 5 x 104 m²/s) in an open channel is to be modeled in laboratory flume using water (vw = 10-6 m²/s) as the flowing fluid. If both gravity and viscosity are important, what should be the length scale (i.e, ratio of prototype to model

The flow of glycerine (kinematic viscosity V = 5 x 104 m²/s) in an open channel is to be modeled in laboratory flume using water (vw = 10-6 m²/s) as the flowing fluid. If both gravity and viscosity are important, what should be the length scale (i.e, ratio of prototype to model

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter18: Mathematics In Engineering

Section18.4: Exponential A P Nd Logarithmic Models

Problem 2BYG

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Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

The flow of glycerine (kinematic viscosity
Vg = 5 x 104 m²/s) in an open channel is
to be modeled in laboratory flume using water
(vw) 10-6 m²/s) as the flowing fluid. If both
gravity and viscosity are important, what should
be the length scale (i.e, ratio of prototype to model
dimensions) for maintaining dynamic similarity?

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