By Chia-Shun Yih (Ed.)

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**Extra resources for Advances in Applied Mechanics, Vol. 13**

**Sample text**

If the region of interest is -1 5 z 5 CO, the above solutions are valid provided that x is replaced by -( 1 x). The choice of x = - 1 for the lower boundary is convenient in this case as will be seen shortly. + 38 George Veronis There are several points to be emphasized here. First, the Ekman layer solution is an exact solution to the equations of motion. 3) is directed at an angle of 45" to the right of the prescribed surface stress for C2 > 0. Third, the net transport of fluid is to the right of the applied surface stress.

Niiler et al. (1965) used an idealized, basically linear stratification to determine the resultant wind-driven ocean circulation. Bryan and Cox (1967) and Bryan (1969) have carried out extensive numerical calculations of a more complete system, including thermal driving forces, and have deducedZhe resulting stratification as part of the analysis. T h e approach to be taken here is to determine whether the results of the simple, idealized model already discussed can be used as a basis for a more extended model.

Also, comparison of the streamline and h (or pressure) patterns shows that the flow is nearly geostrophic, although there is a discernible Ekman wind drift in the vicinity of the boundaries. For the purpose of extending Stommel’s model it is more instructive to derive the results in terms of the physical balances described earlier. The analysis will be done for a sphere. Again start with Eqs. 22) and consider the fluid to be homogeneous,* the depth of the ocean to be constant, the flow to be steady, and R = 0.