Difference between revisions of "Viscosity"
From Encyclopedia of Mathematics
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| − | The property of fluids and gases to resist flow, caused by intermolecular forces. In a "streamline flow" the fluid can be thought of as containing parallel layers which move at different rates, a simple shearing motion. The resistance caused by the viscous forces then gives a tangential force opposing differences in speed between the layers. Newton's law of viscosity states that this force per unit area is proportional to the velocity gradient. Fluids that show this behaviour are called Newtonian | + | The property of fluids and gases to resist flow, caused by intermolecular forces. In a "streamline flow" the fluid can be thought of as containing parallel layers which move at different rates, a simple shearing motion. The resistance caused by the viscous forces then gives a tangential force opposing differences in speed between the layers. Newton's law of viscosity states that this force per unit area is proportional to the velocity gradient. Fluids that show this behaviour are called [[Newtonian fluid]]s. |
====References==== | ====References==== | ||
<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G.K. Batchelor, "An introduction to fluid dynamics" , Cambridge Univ. Press (1974) {{MR|1744638}} {{MR|1535618}} {{ZBL|0958.76001}} {{ZBL|0152.44402}} </TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G.K. Batchelor, "An introduction to fluid dynamics" , Cambridge Univ. Press (1974) {{MR|1744638}} {{MR|1535618}} {{ZBL|0958.76001}} {{ZBL|0152.44402}} </TD></TR></table> | ||
Revision as of 15:17, 10 April 2023
The property of fluids and gases to resist flow, caused by intermolecular forces. In a "streamline flow" the fluid can be thought of as containing parallel layers which move at different rates, a simple shearing motion. The resistance caused by the viscous forces then gives a tangential force opposing differences in speed between the layers. Newton's law of viscosity states that this force per unit area is proportional to the velocity gradient. Fluids that show this behaviour are called Newtonian fluids.
References
| [a1] | G.K. Batchelor, "An introduction to fluid dynamics" , Cambridge Univ. Press (1974) MR1744638 MR1535618 Zbl 0958.76001 Zbl 0152.44402 |
How to Cite This Entry:
Viscosity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Viscosity&oldid=28280
Viscosity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Viscosity&oldid=28280