Model to accommodate the design inflow

Assignment Help Mechanical Engineering

Reference no: EM131943976

Assignment - Gradually Varied Flow Profiles and Numerical Solution of the Kinematic Equations

Objectives

1. Evaluate and apply the equations available for the description of open channel flow
2. Solve the equations governing unsteady open channel flow
3. Apply the equations of unsteady flow to practical flow problems

Special Instructions

a. Computer programs or spreadsheets must be the work of the individual student.

b. Assignments submitted without adequate proof of program validation will not be eligible for greater than a C grading.

c. A proportion of the marks is allocated to the communication aspects of the assignment. Marks will be deducted for untidy and poorly presented work, poor English expression, and failure to cite sources of information.

d. Plagiarism is taken seriously in this course, as such your assignment report will be checked using Turnitin and your spreadsheets (if you have chosen to use Excel or equivalent) will be checked for plagiarism using Excel-Smash

Question 1 - Gradually Varied Flow Profile

Your task:

a) Use the direct step method, and the equation below to compute the water surface profile downstream of the change of slope. The water level will gradually end up at normal depth.

Δy/Δx = S₀ - S‾_f/1 - F‾²_R where F_R = √αV/√(gy‾)

b) Plot the water depth against distance

c) Plot the longitudinal bed, normal depth, critical depth, water surface and energy line over the length of this profile. (All on the same set of axis and corrected for height of the bed e.g. Fig 5.22 Chadwick)

d) Include sample hand calculation in the report

Hints:

- The size of the step is up to you.

- Use of computers for this task (Matlab, Excel etc is encouraged)

- When computing the water surface profile you should stop just short of normal depth

- The Froude number and critical depth for a triangular channel are different to that of a rectangular channel (e.g. need average depth ( y ) instead of max depth ( y ) in FR )

Question 2 - Kinematic Wave Model

Background

You have been asked to investigate the flow behaviour of a sporting field subjected to a short duration high intensity storm rainfall event.

As part of the process you will develop a computer program of the water depths and flow rates for a specified rainfall pattern. The kinematic wave approximation is a simple form of one dimensional flow model, which is deemed sufficient for this task.

Your Task

1) Complete the tutorial problems 5.1, 5.2, 5.3 and 5.4 in Module 5. You will find full solutions of first three questions in the study book that will help you to solve 5.4. The solution of 5.4 will be used to develop your own computer model.

2) OPTIONAL: If you are not confident about your answer to 5.4 you may submit your working (formulas/equations) to the examiner using the link provided on studydesk before proceeding with the numerical scheme. Your examiner will be able to guide you through.

3) Build your model (using any programming language or spreadsheet) for solving the kinematic wave equations for computing depth and flow rate resulting from the storm events. You must configure your model according to the specifications above.

4) Validation is important part for any model development. To validate your mathematical model, you need to compute the runoff resulting from steady rainfall (assume constant rainfall depth for sufficient period) and compare results with the analytical results for steady rainfall. The analytical procedure has been discussed at the end of this problem (The section Model Validation). You are required to check all three conditions

5) Modify the model to accommodate the design inflow, which you will use as upstream boundary condition in the model. The model should run for sufficiently long period to show the recession in the outflow hydrograph. You don't need to account lateral inflow as you may assume that this has been accounted in the given inflow data, which is deemed acceptable for the purpose of this assignment.

6) Write up all equations, model development, validation, results and discussion in a report format

Note: Only required question 2

Attachment:- Assignment.rar

Reference no: EM131943976

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Model to accommodate the design inflow : ENV3104 Hydraulics - Build your model using any programming language or spreadsheet) for solving the kinematic wave equations for computing depth and flow rate

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Reviews

len1943976

4/16/2018 5:23:51 AM

Formulation of equations and model Including derivation of equations & implementation of the equations in the model 30 Validation of program (steady rain) Using the material on the final page of this assignment 25 Courant Check Selection of appropriate step sizes that satisfy courant for both the steady and unsteady condition 5 Solution for 2011 storm Hydrograph implemented correctly, all results presented. Plots are very important 30 Introduction/Discussion/Conclusion e.g. assumption, results, limitations of model 20 Total 110

len1943976

4/16/2018 5:23:37 AM

Marking Scheme Marks Calculation of Normal Flow Including calculation of area, perimeter and normal water depth 5 Calculation of Critical Depth Use of appropriate equation and calculation is correct 5 Direct step Method The method implemented correctly 10 Plots of profile Plots are shown correctly 15 Sample Calculations Showing sample calculation for at least one row of the table 5 Total 40

len1943976

4/16/2018 5:23:16 AM

Submission for this assignment is in two parts: - Report introducing the problem, providing background in all relevant theory, descriptions of methods and equations used and discussion of results. - Electronic copy of all computer code or spreadsheets used so the examiner can validate the models The report should be compiled in such a manner that assessment can be completed without access to the electronic copies of the code/spreadsheet files. It is normal practice to include technical details (e.g. computer code) as an appendix. The assignment is to be submitted electronically via study desk. The link is available on the course studydesk.

len1943976

4/16/2018 5:23:10 AM

a. Computer programs or spreadsheets must be the work of the individual student. b. Assignments submitted without adequate proof of program validation will not be eligible for greater than a C grading. c. A proportion of the marks is allocated to the communication aspects of the assignment. Marks will be deducted for untidy and poorly presented work, poor English expression, and failure to cite sources of information. d. Plagiarism is taken seriously in this course, as such your assignment report will be checked using Turnitin and your spreadsheets (if you have chosen to use Excel or equivalent) will be checked for plagiarism using Excel-Smash

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