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# quiz2 - 2.25 ADVANCED FLUID MECHANICS QUIZ 2 Fall 2005...

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2.25 ADVANCED FLUID MECHANICS Fall 2005 QUIZ 2 TUESDAY, November 22, 2005, 7:00-9:00 P.M. OPEN QUIZ WHEN TOLD AT 7:00 PM THERE ARE TWO PROBLEMS OF EQUAL WEIGHT Please answer each question in SEPARATE books You may use SEVEN (7) pages of handwritten notes as well as the single page handouts posted on plus any tables you feel are necessary MIT Server

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Question 1: X51 X52 X6A X48 X61 X32 X31 X33 X67 X4C When a jet of fluid impinges on a horizontal plate, the fluid flows radially outward away from the jet in a thin film. At a distance R j from the jet, the thickness of the film suddenly increases. This phenomenon is known as a hydraulic jump. In general, the flow in the jump region is turbulent. 1 Consider a jet with volume flux, Q , and radius, a . The fluid in the jet can be approximated as inviscid with density, ρ . The acceleration of gravity is - g in the e z direction and the jet inlet is located a distance L above the plate. For radii larger thatn R j , the fluid free surface is at a constant height, H . You may assume the flow is axially symmetric. You may also assume a H R j . The hydraulic jump can be divided into three regions as indicated in the figure: (1) the upstream region, a < r < R j , (2) the jump region r R j and (3) the downstream region r > R j . Follow the steps below to find an expression for the steady state jump radius, R j .
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quiz2 - 2.25 ADVANCED FLUID MECHANICS QUIZ 2 Fall 2005...

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