The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow
The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow
The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow
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Chapter 3<br />
<strong>Channel</strong> <strong>Flow</strong><br />
<strong>Channel</strong> flow refers <strong>to</strong> an arrangement where fluid flows between two parallel<br />
walls. Consider walls that are a distance 2δ apart. <strong>Flow</strong> is driven by a<br />
pressure gradient in the x direction and solved from y = 0 at a wall <strong>to</strong> y = δ<br />
at the axis of symmetry between the two walls. <strong>The</strong> flow field is long in<br />
the third dimension, so that the flow is independent of z. <strong>The</strong> flow is also<br />
independent of x. Even in unsteady channel flow, the flow is taken <strong>to</strong> develop<br />
through time but not through the length of the flow direction, x.<br />
3.1 Governing Equations<br />
For ease of explanation, the RANS equations for continuity and conservation<br />
of momentum (Equations 2.4 and 2.5) may be expanded in<strong>to</strong> scalar form.<br />
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