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In the polar-cylindrical momentum equation for the r-component, the term \(\frac{\rho v...

In the polar-cylindrical momentum equation for the r-component, the term \(\frac{\rho v \theta^2}{r}\) represents ___________

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asked Sep 14, 2021 in Computational Fluid Dynamics by Lincoln (118k points)

In the polar-cylindrical momentum equation for the r-component, the term \(\frac{\rho v \theta^2}{r}\) represents ___________

(a) Centrifugal force

(b) Centripetal force

(c) Tangential force

(d) Coriolis force

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The above asked question is from Numerical Methods topic in chapter Numerical Methods of Computational Fluid Dynamics

computational fluid dynamics
numerical methods

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1 Answer

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answered Sep 14, 2021 by Tyler (980k points)
selected Sep 14, 2021 by Lincoln

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Right answer is (a) Centrifugal force

For explanation: When the momentum equation is expressed in cylindrical terms, due to the transformation from Cartesian coordinates to polar coordinates, a centrifugal term arises. This is the term \(\frac{\rho v \theta^2}{r}\). It describes the transfer of θ-momentum into r-momentum due to the change of direction of angular velocity.

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