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 forceThis question was posed to me in exam.The above asked question is from Numerical Methods topic in chapter Numerical Methods of Computational Fluid Dynamics

In the polar-cylindrical momentum equation for the r-component, the te

1.	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 forceThis question was posed to me in exam.The above asked question is from Numerical Methods topic in chapter Numerical Methods of Computational Fluid Dynamics
Answer» 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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