Problem 3. (25 points) Use the Homework Solution Format for this problem. Water flows by gravity from a large reservoir

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Problem 3. (25 points) Use the Homework Solution Format for this problem. Water flows by gravity from a large reservoir

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Problem 3 25 Points Use The Homework Solution Format For This Problem Water Flows By Gravity From A Large Reservoir 1
Problem 3 25 Points Use The Homework Solution Format For This Problem Water Flows By Gravity From A Large Reservoir 1 (41.13 KiB) Viewed 36 times
Problem 3 25 Points Use The Homework Solution Format For This Problem Water Flows By Gravity From A Large Reservoir 2
Problem 3 25 Points Use The Homework Solution Format For This Problem Water Flows By Gravity From A Large Reservoir 2 (85.64 KiB) Viewed 36 times
Problem 3. (25 points) Use the Homework Solution Format for this problem. Water flows by gravity from a large reservoir at a high elevation to a smaller one through a 200-meter-long, 5-cm-diameter galvanized iron piping system that includes four 90° flanged bends, a well-rounded entrance, a submerged sharp-edged exit, and a fully open gate valve. Taking the free surface of the lower reservoir as the reference level, determine the elevation Z₁ of the higher reservoir for a flow rate of 0.6 m³/min. Use a-1.05 (Answer: 144.4 m) 5 cm 0.6 m/min 200 m Figure for Problem 3 Oil 2 cm 50 cm 10 cm Oil Figure for Problem 4
Homework Solution Format (from syllabus) Use the bold titles below as headings in your solutions. You will also find these steps outlines in Section 1-8 of the text on page 24. Begin each problem on a new piece of paper. You can use the back side of the page to continue the problem solution if necessary. Step 1: Problem Statement. In your own words briefly state the problem and what will be found. Do not repeat the given problem statement. Step 2: Schematic. Draw a sketch when possible showing dimensions and labeling fluids. . For a control volume analysis, indicate the control volume being used, the direction of forces applied. and the coordinate system being used. For an analysis along a streamline, draw the streamline and label locations 1 and 2. Step 3: Assumptions and Approximations. List all assumptions and approximations. Step 4: Physical Laws. State the basic governing equations used to solve the problem. These equations will be found from the textbook or lecture notes. State the equation number beside any equation from the text. State the lecture number and slide number (for example LB2S6) for any equation from the lesson slides. Step 5: Properties. List the properties to be used and reference the table in which the values were found. In this section, list only fluid and solid properties found from tables; problem dimensions are included in the schematic. Properties can only be used from the textbook and the Properties Handout found on Canvas. If the properties handout was used, reference "Properties Handout". Do not use properties found online. Points will be taken off if the reference is not included with the properties. As an example Water at 20°C: Gold: Properties Handout Table 2-1 p=998 kg/m³ SG=19.2 Conversion factors can also be listed in the Properties section. Step 6: Calculations. Problems should be solved using variables. As a last step, numbers are substituted and the final numerical result is obtained. The equation with numerical values substituted must be written before the final numerical result is found. Points will be taken off on each problem if this step is omitted. Include units in the final result. • Box the final result given to three significant digits. Intermediate values should be carried to four digits so that the final answer is accurate to three digits Step 7: Discussion. Discuss the results. Are the results expected? What does the solution in variable form tell you? For example, if the pressure drop is doubled in a pipe flow problem, how does the flow velocity change? When the problem includes a velocity, compare that velocity to the speeds you found in Problem 5 of Homework 1. A List of Some Assumptions and Approximations Discussed in Class So Far • Static fluid (not moving) • Steady flow (for a moving fluid) • Neglect pressure change through the gas in a manometer • External or Internal flow Incompressible flow, uniform density Inviscid, irrotational flow Laminar or Turbulent (to describe viscous flow) Uniform velocity profile at the inflow and outflow. (Or used an average velocity at each location.)
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