EQUATION OF CONTINUITY
When a fluid is in motion, it must move in such a way that mass is conserved. To see how mass conservation places restrictions on the velocity field, consider the steady flow of a fluid from the inlet to the outlet of a pipe, the flow do not vary with time. The inflow and outflow are one-dimensional, so that the velocity and density over the area are constant.
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Equation of continuity |
generalm = ri1vi1Si1 +r i2vi2Si2 +…+r invinSin = ro1vo1So1 + ro2vo2So2 +…+ronvonSon | where: m = mass flow rate (kg/s) q = flow rate (m3 / s)
S = sectional area (m2) |
| for uniform densityq = vi1Si1 + vi2Si2 +…+ vinSin = vo1So1 + vo2So2 +…+ vonSon |
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