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Unformatted text preview: 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 ow through its surface. When material ows through the surface, it carries not only mass, but momentum as well. The momentum ow can be described as momentum ow = (mass ow) (momentum / mass) where the mass ow was defined earlier, and the momentum/mass is simply the velocity vector vector V . Therefore vector vector n A vector V momentum ow = m V = V V = V n A vector vector n as before. Note that while mass ow is a scalar, the momentum ow is a where V n = V vector, and points in the same direction as vector V . The momentum ux vector is defined simply as the momentum ow per area. momentum ux = V n V A n ^ m . m . V V Momentum Conservation Newtons 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...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.
- Fall '05