2. As we did in class for the continuity equation, derive the z-momentum equation in con- servation form: Ә (pw) + 7. (pwv) = - + pfz Әр əz Ət Start by applying the control volume form of the z-momentum conservation equation to an infinitesimal control volume, and use the first order Taylor series expansion to express the fluxes at each face. Sketch the control volume and include the labeled fluxes at each face. Also, expand the equation fully in Cartesian coordinates to see all the terms.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. As we did in class for the continuity equation, derive the z-momentum equation in con-
servation form:
Ə
(pw) + 7. (pwv) = - + pfz
Әр
əz
Ət
Start by applying the control volume form of the z-momentum conservation equation to
an infinitesimal control volume, and use the first order Taylor series expansion to express
the fluxes at each face. Sketch the control volume and include the labeled fluxes at each
face. Also, expand the equation fully in Cartesian coordinates to see all the terms.
Transcribed Image Text:2. As we did in class for the continuity equation, derive the z-momentum equation in con- servation form: Ə (pw) + 7. (pwv) = - + pfz Әр əz Ət Start by applying the control volume form of the z-momentum conservation equation to an infinitesimal control volume, and use the first order Taylor series expansion to express the fluxes at each face. Sketch the control volume and include the labeled fluxes at each face. Also, expand the equation fully in Cartesian coordinates to see all the terms.
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