Mean horizontal velocity and ice flux

The ice flux per unit width, q, is readily obtained by integrating the velocity profile (Equations (5.6), (5.10), or (5.16)) over depth. We will illustrate this with Equation (5.16), thus:

/T 2 ( Sf pgsin aN\n qL ^ U(z)dz ^ Us - — ^ —^ )

(n + 1)(n + 2) V B Possibly of greater use is the mean velocity over depth, u = qt/H:

Combining this with Equation (5.16) and simplifying the result leads to:

where the numerical values are calculated assuming n = 3. This relation will be of use in Chapter 14.

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