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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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The Couette-Taylor Problem (Paperback, Softcover reprint of the original 1st ed. 1994)
Loot Price: R3,105
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The Couette-Taylor Problem (Paperback, Softcover reprint of the original 1st ed. 1994)
Series: Applied Mathematical Sciences, 102
Expected to ship within 10 - 15 working days
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1. 1 A paradigm About one hundred years ago, Maurice Couette, a
French physicist, de signed an apparatus consisting of two coaxial
cylinders, the space between the cylinders being filled with a
viscous fluid and the outer cylinder being rotated at angular
velocity O2. The purpose of this experiment was, follow ing an idea
of the Austrian physicist Max Margules, to deduce the viscosity of
the fluid from measurements of the torque exerted by the fluid on
the inner cylinder (the fluid is assumed to adhere to the walls of
the cylinders). At least when O is not too large, the fluid flow is
nearly laminar and 2 the method of Couette is valuable because the
torque is then proportional to 110, where II is the kinematic
viscosity of the fluid. If, however, O is 2 2 increased to a very
large value, the flow becomes eventually turbulent. A few years
later, Arnulph Mallock designed a similar apparatus but allowed the
inner cylinder to rotate with angular velocity 01, while O2 = o.
The surprise was that the laminar flow, now known as the Couette
flow, was not observable when 0 exceeded a certain "low" critical
value Ole, even 1 though, as we shall see in Chapter II, it is a
solution of the model equations for any values of 0 and O ."
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