Abstract
The Brinkman-equation is solved by an equivalent variational problem in order to obtain steady flow profiles which satisfy the conditions w = 0 and ε = 1 at the container wall of a packed bed. The quite large deviations between calculated and measured profiles are fully explained. An analytical expression is developed with sufficient accuracy. The main body of calculations is performed for isothermal flow, however flows under non-isothermal conditions also are considered.
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