3.7. DIFFERENTIAL EQUATIONS OF MOMENTUM TRANSFER OR MOTION
3.7A. Derivation of Equations of Momentum Transfer
The equation of motion is really the conservation-of-momentum equation (2.8-3), which we can write as
Equation 3.7-1
We will make a balance on an element as in Fig. 3.6-2. First we shall consider only the x component of each term in Eq. (3.6-30). The y and z components can be described in an analogous manner.
The rate at which the x component of momentum enters the face at x in the x direction by convection is (ρνxνx)x Δy Δz, and the rate at which it leaves at x + Δx is (ρνxνx)x+Δx Δy Δz. The quantity (ρvx) is the concentration in momentum/m ...
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