{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

f07_new_fall

# f07_new_fall - Fluids Lecture 7 Notes 1 Momentum Flow 2...

This preview shows pages 1–2. Sign up to view the full content.

vector Fluids – Lecture 7 Notes 1. Momentum Flow 2. Momentum Conservation Reading: Anderson 2.5 Momentum Flow Before we can apply the principle of momentum conservation to a fixed permeable control volume, we must first examine the effect of ﬂow through its surface. When material ﬂows through the surface, it carries not only mass, but momentum as well. The momentum ﬂow can be described as −→ −→ momentum ﬂow = (mass ﬂow) × (momentum / mass) where the mass ﬂow was defined earlier, and the momentum/mass is simply the velocity vector vector V . Therefore −→ ˙ vector vector n A vector V momentum ﬂow = m V = ρ V · ˆ V = ρ V n A vector vector n as before. Note that while mass ﬂow is a scalar, the momentum ﬂow is a where V n = V · ˆ vector, and points in the same direction as vector V . The momentum ﬂux vector is defined simply as the momentum ﬂow per area. −→ momentum ﬂux = ρ V n V A n ^ m . m . V ρ V Momentum Conservation Newton’s second law states that during a short time interval dt , the impulse of a force vector F P applied to some affected mass, will produce a momentum change d vector a in that affected mass.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}