Preliminary design for a tidal turbine siting requires us to find the flow characteristics over a river bed. Bathymetry data of the tidal channel indicates that the bed has a dune as shown in the figure below. In 2D potential flow, the flow over this dune can be modelled using a particular streamline of flow past a cir- cular cylinder that can be constructed by superposition of an incoming uniform flow with streamwise speed of U = 1 m/s and a doublet of strength K = = 2π m³/s. The streamline that represents the dune is one that passes through (x,z) (0, aR) where R √K/(2TU) is the radius of the circular cylinder. = = Use a = 1.2 (i) Determine an equation for the streamline that repre- sents the dune. Provide your answer in terms x, z and a (or use its numerical value). (ii) Plot the dune and the streamlines around it using the potential flow code provided in your lecture materials.
Preliminary design for a tidal turbine siting requires us to find the flow characteristics over a river bed. Bathymetry data of the tidal channel indicates that the bed has a dune as shown in the figure below. In 2D potential flow, the flow over this dune can be modelled using a particular streamline of flow past a cir- cular cylinder that can be constructed by superposition of an incoming uniform flow with streamwise speed of U = 1 m/s and a doublet of strength K = = 2π m³/s. The streamline that represents the dune is one that passes through (x,z) (0, aR) where R √K/(2TU) is the radius of the circular cylinder. = = Use a = 1.2 (i) Determine an equation for the streamline that repre- sents the dune. Provide your answer in terms x, z and a (or use its numerical value). (ii) Plot the dune and the streamlines around it using the potential flow code provided in your lecture materials.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
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