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ENV2103 Assignment 1 2015...

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ENV2103 Assignments Submit your comprehensive worked solutions to all questions. Your reports should include appropriate sketches/annotations, data used, explanatory notes, and any assumptions used. Show detailed calculations and give your final answers with the correct number of significant figures and appropriate units. Markers reward neat and logically presented submissions, which can be produced using scanned copies of legible, hand-written submissions with ruled drawings, or MS Word with Equation Editor and perhaps MS Paint for pictures. Use a black or blue ballpoint pen and avoid multi-column style layouts. Consider text readability and file sizes when submitting scanned copies. Black & white pictures with 300 dpi resolution are more than adequate. Scanned image files (Moody diagrams) should be inserted in MS Word documents to replace the original (blank) diagram), and saved with the rest of your answer in pdf format. For older Word (2003 and earlier) versions various freeware printer driver and online services available for document conversion to pdf (for example at http://www.pdfforge.org, http://www.primopdf.com, and www.freepdfconvert.com). Delivery  This course uses electronic only submission through StudyDesk.  Do not attach cover sheets to your upload. SPECIAL INSTRUCTIONS 

Regard different Questions as individual "mini assessments” that are downloaded, solved, and submitted separately from other Questions. Assignment 1 and Asgnment 2 are only names for a group of several (usually 5) Questions in a bundle with a common deadline and total mark.

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A submission consists of a single file in pdf format.

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The single file requirement prevents uploading Moody diagrams separately. Those should be processed just like text in your solution, for example scanned and inserted in the doc file as pictures.

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Submissions must follow the naming convention "Firstname Lastname QuestionNo.pdf". Valid examples are “John Brown Q1.pdf” and “May Smith Q5.pdf”, and invalid examples are “Peter Paul Whitewater 006164577 Assignment 1.pdf”and “AssIQ 1.pdf”.

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Check the integrity/readability of your submission (open in your pdf reader) before upload.

Non-complying uploads will be inadmissible and unmarked.

Question 1 30 marks A differential manometer connects two pipes as depicted below (not to scale) one containing water and the other containing brine. Determine the relative density of brine if the pressures in the water and brine pipes are 30.0 kPa and 20.2 kPa, respectively. Available data is shown in the Table. Density of water Density of red fluid ‘a’ reading ‘b’ reading ‘c’ reading

1000 kg/m3 1900 kg/m3 190 mm 400 mm 110 mm

Solution

ENV2103 S1 2015 Assignment 1 Q1

Question 2 30 marks The 2.00 m wide rectangular gate shown in the sketch (not to scale) is hinged at its top end (O point). This gate isolates two chambers (upstream chamber on the right side and downstream chamber on the left side) that are filled with water (=1000 kg/m3) to different depths. Determine the maximum difference of water depths between the two chambers (y in the Figure) for which the gate still remains closed, if the weight of the gate G=78.48 kN. The gate is homogenous and its thickness is negligibly small compared to its other dimensions.

Solution

ENV2103 S1 2015 Assignment 1 Q2

Question 3 30 marks A glass hydrometer shown in the Figure below (not to scale) consists of a bulb section weighted with a piece of lead, and a cylindrical (5.50 mm diameter) stem marked with a scale. When this device is placed in distilled water (=1000 kg/m3), it has a submerged volume of 20.0 cm3 that corresponds to zero reading on the scale. When this device is placed in a brine of unknown density, the reading on the stem is 40.0 mm. What is the relative density of the brine?

Solution

ENV2103 S1 2015 Assignment 1 Q3

Question 4 30 marks The 100 mm diameter 180 bend illustrated in the Figure below delivers water at 21.0 L/s discharge rate, and is laid in the horizontal plane. Determine the restraining force if the pressure at both Sections (1 and 2) is 22.2 kPa, implying that the energy loss is negligible.

Solution

ENV2103 S1 2015 Assignment 1 Q4

Question 5 30 marks A cooling system uses a horizontally laid pipe with an internal diameter of 4.0 mm (see the sketch below). What is the discharge rate of water (=998.2 kg/m3 and =1.000E-6 m2/s) in this pipe, if the level difference between the total energy and hydraulic grade lines (x) is 430 mm? (15 marks) In a different operational condition, this pipe delivers 21.6 L/h discharge. What is the total energy head at Section 1 if the local pressure is 8.37 kPa, and the chosen datum is the pipe axis? (15 marks)

Solution

ENV2103 S1 2015 Assignment 1 Q5...