Consider the stencil. Give the advection flux at face w $(\dot{m_w}\phi_W)$ using the downwind scheme.(Note: $\dot{m}$ and Φ are the mass flow rate and the flow variable respectively).

Question

TuteeHUB · Accepted Answer

$\dot{m_w}\phi_W = max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W$

TuteeHUB · Answer

$\dot{m_w}\phi_W = -max⁡(\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W$

TuteeHUB · Answer

$\dot{m_w}\phi_W = max⁡(\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W$

TuteeHUB · Answer

$\dot{m_w}\phi_W = -max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W$

TuteeHUB · Answer

$\dot{m_w}\phi_W = max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W$

1.	Consider the stencil. Give the advection flux at face w \((\dot{m_w}\phi_W)\) using the downwind scheme.(Note: \(\dot{m}\) and Φ are the mass flow rate and the flow variable respectively).
A.	\(\dot{m_w}\phi_W = -max⁡(\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W\)
B.	\(\dot{m_w}\phi_W = max⁡(\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W\)
C.	\(\dot{m_w}\phi_W = -max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W\)
D.	\(\dot{m_w}\phi_W = max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W\)
Answer» D. \(\dot{m_w}\phi_W = max⁡(-\dot{m_w},0)\phi_C+max⁡(\dot{m_w},0)\phi_W\)

Consider the stencil. Give the advection flux at face w \((\dot{m_w}\phi_W)\) using the downwind scheme.(Note: \(\dot{m}\) and Φ are the mass flow rate and the flow variable respectively).

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