A ball of radius r falls through oil

A moving object in a viscous fluid is equivalent to a stationary object in a flowing fluid stream. Flow of the stationary fluid around a moving object may be laminar, turbulent, or a combination of the two. Just as with flow in tubes, it is possible to predict when a moving object creates turbulence.

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A ball of radius r falls through oil

A moving object in a viscous fluid is equivalent to a stationary object in a flowing fluid stream. Flow of the stationary fluid around a moving object may be laminar, turbulent, or a combination of the two. Just as with flow in tubes, it is possible to predict when a moving object creates turbulence. Depending on the surface, there can be a turbulent wake behind the object with some laminar flow over its surface. See Figure 1. Laminar flow occurs mostly when the objects in the fluid are small, such as raindrops, pollen, and blood cells in plasma. This value is sufficiently high to imply a turbulent wake. Most large objects, such as airplanes and sailboats, create significant turbulence as they move. As noted before, the Bernoulli principle gives only qualitatively-correct results in such situations. One of the consequences of viscosity is a resistance force called viscous drag F V that is exerted on a moving object. This relationship is a strong dependence and is pertinent to bicycle racing, where even a small headwind causes significantly increased drag on the racer. Cyclists take turns being the leader in the pack for this reason. All of which makes sense—the more viscous the fluid and the larger the object, the more drag we expect. Figure 1.

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Spherical balls of radius R are falling in a viscous fluid of velocity v. The retarding viscous force acting on the spherical ball is. A copper ball of radius r travels with a uniform speed v in a viscous fluid if the ball is changed withh another ball of radius 2r then new uniform speed will be. Two metal ball of radius R and 2 R falling through a fluid have same velocity at some point. The viscous drag acting on them at that instant are in the ratio.

A moving object in a viscous fluid is equivalent to a stationary object in a flowing fluid stream. Flow of the stationary fluid around a moving object may be laminar, turbulent, or a combination of the two. Just as with flow in tubes, it is possible to predict when a moving object creates turbulence. Depending on the surface, there can be a turbulent wake behind the object with some laminar flow over its surface. Laminar flow occurs mostly when the objects in the fluid are small, such as raindrops, pollen, and blood cells in plasma. This value is sufficiently high to imply a turbulent wake.

A ball of radius r falls through oil

A moving object in a viscous fluid is equivalent to a stationary object in a flowing fluid stream. Flow of the stationary fluid around a moving object may be laminar, turbulent, or a combination of the two. Just as with flow in tubes, it is possible to predict when a moving object creates turbulence.

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To make it simple, we take a sphere.

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