Which of these terms in the momentum equation for θ – component represents the Coriolis force?(a) \(\rho v_r\frac{∂v_\theta}{\partial r}\)(b) \(\frac{\rho v_\theta}{r}\frac{\partial v_\theta}{\partial \theta} \)(c) \(\frac{\rho v_r v_\theta}{r}\)(d) \(\frac{\partial v_\theta}{\partial r}\)I had been asked this question in an interview for internship.Query is from Numerical Methods in division Numerical Methods of Computational Fluid Dynamics

Which of these terms in the momentum equation for θ – component rep

1.	Which of these terms in the momentum equation for θ – component represents the Coriolis force?(a) \(\rho v_r\frac{∂v_\theta}{\partial r}\)(b) \(\frac{\rho v_\theta}{r}\frac{\partial v_\theta}{\partial \theta} \)(c) \(\frac{\rho v_r v_\theta}{r}\)(d) \(\frac{\partial v_\theta}{\partial r}\)I had been asked this question in an interview for internship.Query is from Numerical Methods in division Numerical Methods of Computational Fluid Dynamics
Answer» Correct OPTION is (c) \(\frac{\rho v_r v_\theta}{R}\) To ELABORATE: The term \(\frac{\rho v_r v_\theta}{r}\) REPRESENTS Coriolis force in the θ – momentum equation. Coriolis force arises due to the motion of the coordinate system taken. The term \(\frac{\rho v_r v_\theta}{r}\) represents the source or SINK of θ -momentum.

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