Consider a one-dimensional flow with two bounding faces in the eastern (e) and the western sides (w). Applying pressure correction to the mass conservation equation, which of these equations will be obtained?(Note: \(\dot{m}\) represents the mass flow rate and the signs * and ‘ represent the initial guess and the correction terms respectively).

• A. \(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=+\dot{m_e}*+\dot{m}_{w}^{*}\)
• B. \(\dot{m}_{w}^{‘}=-\dot{m}_{e}^{*}\)
• C. \(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=-\dot{m_e}*-\dot{m}_{w}^{*}\)
• D. \(\dot{m}_{e}^{‘}=-\dot{m}_{e}^{*}\)
• E. and the western sides (w). Applying pressure correction to the mass conservation equation, which of these equations will be obtained?(Note: \(\dot{m}\) represents the mass flow rate and the signs * and ‘ represent the initial guess and the correction terms respectively).a) \(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=+\dot{m_e}*+\dot{m}_{w}^{*}\) b) \(\dot{m}_{w}^{‘}=-\dot{m}_{e}^{*}\) c) \(\dot{m}_{e}^{‘}+\dot{m}_{w}^{‘}=-\dot{m_e}*-\dot{m}_{w}^{*}\) d) \(\dot{m}_{e}^{‘}=-\dot{m}_{e}^{*}\)