Introduction to Two-Dimensional Inviscid Incompressible Flow

Introduction to Two-Dimensional Inviscid Incompressible Flow

Kaliappan S., Raj Kamal M. D., Balaji V., Socrates S., Andrii Kondratiev
DOI: 10.4018/978-1-6684-4230-2.ch003
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Abstract

Here, the authors explain the Magnus effect. The ball is deflected in the same direction as the rotation. The most common exposure and welcome statement of the Magnus effect is that a spinning object creates a vortex of fluid swirling around it. On the side where the movement of the vortex is in the same direction as the direction of the flow to which the object is exposed, the speed will increase. On the opposite side, where the directions are opposite, the speed will decrease. It is explained here, according to Bernoulli's principle, that the pressure is lower on the side with the greatest velocity, and therefore, there is an unbalanced force orthogonal to the flow of the fluid.
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Magnus Effect

Magnus effect, creation of a sidewise force on a spinning cylindrical or spherical solid submergesin a fluid, when there is a relative movement between the spinning bodyand the fluid.

A spinning frame flowing via a fluid deviates from it’s directlydirectiondue tostrainvariations that generate withinside the fluid because ofpaceadjustmentsprecipitatedwith the aid of using the spinning frame. The Magnus impact is a selected manifestation of Bernoulli's theorem: fluid strain decreases at factorswherein fluid pace increases. In the case of a rotating ball withinside the air, the rotating ball includesa fewair with it. Viewed from the ball's position, air rushes in all directions. Drag at theaspect of the ball that spins withinside the air (with inside thecourse the ball travels) slows down the float of air, at the same time as drag on the alternativeaspecthastens the float of air. Higher strainat theaspectwherein airflow decreases forces the ball in the direction of the low-strainarea on the otheraspect, whereinthere's a relative boom in airflow.

Figure 1.

978-1-6684-4230-2.ch003.f01

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