Question

State the condition obtained by applying the correction to the continuity equation.

(a) When the mass flow rate reaches an exact solution, the correction field becomes zero

(b) When the velocity reaches an exact solution, the correction field becomes zero

(c) When the mass flow rate reaches an exact solution, the correction field becomes infinity

(d) When the velocity reaches an exact solution, the correction field becomes infinity

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I'm obligated to ask this question of Incompressible Flows topic in chapter Incompressible Flows & Compressible Flows of Computational Fluid Dynamics

Answer 1

The correct answer is (a) When the mass flow rate reaches an exact solution, the correction field becomes zero

Easiest explanation: The correction equation obtained for the mass flow rate is

\(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=-\dot{m_e}*-\dot{m}_{w}^{*}\)

When the solution reaches the exact answers,

\(-\dot{m}_{e}^{*}-\dot{m}_{w}^{*}=\dot{m_e}*+\dot{m}_{w}^{*}=0\)

Therefore, the correction field

\(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=0\).