MAAE 2300 Take-Home Final Exam 21st December 2021 Duration: 150 minutes Start: 7:00 p.m. ET End: (+ 10 minutes to upload your solution) Department: Mechanical and Aerospace Engineering (MAE) Course Number: MAAE 2300 Fluid Mechanics 1 Instructor: M. Eshaghi, M. Rotzoll, H. Jazebizadeh INSTRUCTIONS – READ CAREFULLY: This exam booklet has 5 pages (including cover). There are 4 questions in total each worth 25 points. This is an individual exam. You may not collaborate with any other individual or plagiarise their work. Suspected collaboration or plagiarism will be dealt with according to Carleton University’s Academic Integrity Policy. You may use the course textbook, hand-written formula sheets, and any material posted on Brightspace, including course notes and PA questions to answer the final exam assignment. All other written materials are forbidden. Your work and answers must be clearly written and complete. If you have doubts about the meaning or completeness of a question, supply the material you believe you need to answer the question and state your assumptions at the beginning of your answer. Show all your work. During the exam period, the professors and TAs will not be available to answer any questions about the final exam. Remember, if you have any doubts about the meaning of a question, state your assumptions and proceed. Students must upload this exam paper and their additional pages to the designated Brightspace portal. If the math does not match reasonably with the answer, then no marks will be awarded. Students are given additional 10 minutes to scan or take photo and upload their solutions. The Brightspace portal will close at 9:40 p.m. ET. Late submissions will not be accepted and result in ZERO marks being rewarded. Please fill the “Honour statement” below or write and sign it in your answer sheet. Missing the statement results in zero mark in the final exam. HONOUR STATEMENT: I have neither given nor received any help on this exam, and I have not discussed the exam with anyone. I attest that all of the answers are my own work. My name and student ID below indicate that I neither gave nor received unauthorized assistance on this assignment. Student Printed Name: Student ID: Question #1 (25 Marks) a) Gate AB is pinned at point A and supported by a stop block at point B. If the depth of the gate, normal to the plane, is 6 m and the density of water is 1000 kg/m3, find the horizontal reaction force at hinge A and support B. b) Following truck containing oil is accelerating with the rate of 5 m/s2on a shown ramp. (1) What is the slope (in degree) of the oil surface in the tank? (2) If the ramp surface is icy and truck loses the power, it slides down with no resisting friction force. Find the slope of the oil surface in this condition. Question #2 (25 Marks) The air is flowing through the following device. (a) What is the maximum gage pressure at section (2) such that the water from the reservoir below is entering the device.? (b) Considering atmospheric pressure outside the device, what is the velocity of airflow at section (2)? (c) What is the air flowrate? (d) What is the required pressure in section (1) to draw the water in section (2)? Assume negligible compressibility and viscosity of the air. Density of water and air are 1000 kg/m3 and 1.225 kg/m3, respectively. Question #3 (25 Marks) Given is a jet of water hitting your favourite fluid mechanics book. To keep the book in place, you must apply a horizontal force of , as shown in the figure. Notice that the pipe is reducing from a diameter to a diameter of . Determine a) the velocities at sections 1 and 2, and , and b) the reading of the manometer if it is filled with mercury ( ). 3 Neglect any frictional forces. Density of water is 1000 kg/m . Question #4 (25 Marks) The following vertical piping system, which includes 3 straight pipes (total length = 6 m, diameter = 0.04 m), 4 regular 90° threaded elbows, 2 fully open globe valves and a pump with the efficiency of 50%, is used to transfer SAE 10 oil (density = 870 / 3, viscosity = 0.104 . / 2) from point B to A. Obtain the input power to the pump if the flow rate is 18.1 3/ , and the pressure at point B is 77.2 kPa higher than pressure at point A.
