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Flow of a viscous fluid over a flat plate surface results in thedevelopment of a region
Chapter 5, Problem 5.25(choose chapter or problem)
Flow of a viscous fluid over a flat plate surface results in thedevelopment of a region of reduced velocity adjacent to the wettedsurface as depicted in Fig. P5.25. This region of reduced flow iscalled a boundary layer. At the leading edge of the plate, the velocityprofile may be considered uniformly distributed with a value U.All along the outer edge of the boundary layer, the fluid velocitycomponent parallel to the plate surface is also U. If the x-directionvelocity profile at section (2) isuU = 32(y) 12(y)3develop an expression for the volume flowrate through the edge ofthe boundary layer from the leading edge to a location downstreamat x where the boundary layer thickness is .
Questions & Answers
QUESTION:
Flow of a viscous fluid over a flat plate surface results in thedevelopment of a region of reduced velocity adjacent to the wettedsurface as depicted in Fig. P5.25. This region of reduced flow iscalled a boundary layer. At the leading edge of the plate, the velocityprofile may be considered uniformly distributed with a value U.All along the outer edge of the boundary layer, the fluid velocitycomponent parallel to the plate surface is also U. If the x-directionvelocity profile at section (2) isuU = 32(y) 12(y)3develop an expression for the volume flowrate through the edge ofthe boundary layer from the leading edge to a location downstreamat x where the boundary layer thickness is .
ANSWER:Step 1 of 2
An often-used expression for mass flow rate, through a section of control volume (shown in the figure, red line is control volume) we have;
