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Boiling kettle

Consider the cylindrical boiling kettle shown in the figure. The weight of the empty kettle is Wk and its internal diameter is Dk. A vertical water jet with a diameter Dj and uniform velocity Vj is falling into the kettle from the top, while water exits from the spout of the kettle; the spout has a diameter Ds and an axis that is inclined by 45°C with respect to the vertical direction. The water inside the kettle is maintained at a constant depth h. Assume that the kettle has a smooth, flat bottom with a diameter equal to Dk, which is in perfect contact with a smooth flat table, so that there is no air between them. Determine the vertical and horizontal forces by the kettle on the table, in magnitude and direction. Start with the most general equations and justify any simplifications that you make, stating clearly all your assumptions.


Contributed by Stavros Tavoularis, Department of Mechanical Engineering, University of Ottawa, Ottawa, Canada.

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