Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 1, Problem 9CP
What is the no-slip condition? What causes it?
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The standard linear solid (SLS), also known as the Zener model, is a method of modeling the behavior of a
viscoelastic material using a linear combination of springs and dashpots to represent elastic and viscous
components, respectively.
E2
E1
The constitutive equation for this viscoelastic model will be of the following form:
TOSHIBA
A fluid sample is contained between two parallel plates separated by a distance of 2+- 0,1mm . The area of the plates is 100+- 0,01 cm². The bottom plate is stationary, and the top plate moves at a velocity of 1 cm/s when a force of 315+- 25 dynes is applied to it, and at 5 cm/s when a force of 1650+- 25 dynes is applied.
(a) What is the viscosity of this fluid?
(b) What is the rheological behavior of this fluid and discussing this behavior?
(c) What is the range of uncertainty for your answer in item (a).
A large plate moves with speed vo over a stationary plate on a layer of oil (see Fig. 1-5). If the velocity profile is
that of a parabola, with the oil at the plates having the same velocity as the plates, what is the shear stress on
the moving plate from the oil? If a linear profile is assumed, what is the shear stress on the upper plate?
Assumed profile
Oil
layer
Vo
Fig. 1-5
Chapter 1 Solutions
Fluid Mechanics: Fundamentals and Applications
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