Reference no: EM132496123
ENV3104 Hydraulics II - University of Southern Queensland
Gradually Varied Flow Profiles and Numerical Solution of the Kinematic Equations
Objectives
• Evaluate and apply the equations available for the description of open channel flow
• Solve the equations governing both steady and unsteady gradually varied channel flow and apply them to the solution of practical flow problems including: backwater profiles; runoff on a plane surface and routing of a stream hydrograph; design erodible and vegetative lined channels.
Question 1 - Gradually Varied Flow Profiles
Your task:
a) Use the direct step method, and the equation below to compute the water surface profile for Reach 1 only. Take alpha as being 1.1 (α=1.1).
Δy/Δx = So - ¯Sf/(1- ¯FR2) where FR = √αV/√(g¯y)
b) Plot the water depth profile for reach 1.
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 e.g. Fig 5.22 Chadwick, scanned copy of this page in provided on study desk)
d) Include sample hand calculation in the report
Question 2 - Kinematic Wave Model
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.
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 study desk before proceeding with the numerical scheme. Your examiner will be able to guide you through.
3. Build your model (using spreadsheet or any programming language) for solving the kinematic wave equations for computing depth and flow rate resulting from a storm event. You must configure your model according to the specifications above.
4. Validate your mathematical model by modelling the runoff under steady rainfall (constant rainfall intensity for infinite duration) and compare results with the theoretical results for steady rainfall. The analytical procedure for theoretical results 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 storm hyetograph. Then use this program to calculate water depth and flow rate along the unit width channel for the given storm event
6. Write up all equations, model development, validation, results and discussion in a report format.
Attachment:- Hydraulics Assignment.rar