The figure below shows an indoor wall fountain, where water flows down in a narrow layer...

  

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The figure below shows an indoor wall fountain, where water flows down in a narrow layer over a flat surface. The velocity profile for well-developed flow within the water layer is given by: 4 (x)- egs? 8-x 1- where u, is the downward velocity, x is the distance in the direction normal to the wall (x = 0 corresponds to the wall surface), and 8 is the thickness of the film. (a). flowrate V of the water and the width W of the fountain (the density and viscosity of the water and the acceleration of gravity will appear in the expression). (b). of the fountain. If the fountain is 2 ft wide and the temperature in the room is 68 °F, what is the approximate maximum volumetric flowrate (in ft'/min) that can flow through the fountain without the flow becoming turbulent? What is the thickness (in mm) of the water layer at this flowrate? Find an expression for the thickness 8 of the water layer as a function of the total volumetric The fountain operates properly as long as the flow remains laminar, otherwise water will splash out The figure below shows an indoor wall fountain, where water flows down in a narrow layer over a flat surface. The velocity profile for well-developed flow within the water layer is given by: 4 (x)- egs? 8-x 1- where u, is the downward velocity, x is the distance in the direction normal to the wall (x = 0 corresponds to the wall surface), and 8 is the thickness of the film. (a). flowrate V of the water and the width W of the fountain (the density and viscosity of the water and the acceleration of gravity will appear in the expression). (b). of the fountain. If the fountain is 2 ft wide and the temperature in the room is 68 °F, what is the approximate maximum volumetric flowrate (in ft'/min) that can flow through the fountain without the flow becoming turbulent? What is the thickness (in mm) of the water layer at this flowrate? Find an expression for the thickness 8 of the water layer as a function of the total volumetric The fountain operates properly as long as the flow remains laminar, otherwise water will splash out