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! Q2.Preliminary design for a tidal turbine siting requires us tofind the flow characteristics over a river bed. Bathymetrydata of the tidal channel indicates that the bed has adune as shown in the figure below.In 2D potential flow, the flow over this dune can bemodelled using a particular streamline of flow past a cir-cular cylinder that can be constructed by superpositionof an incoming uniform flow with streamwise speed ofU = 1 m/s and a doublet of strength K 2π m³/s. Thestreamline that represents the dune is one that passesthrough (x,z)(0, aR) where Rradius of the circular cylinder.-S.√K/(2TU) is the=1.2-Use a =(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 thepotential flow code provided in your lecture materials. Power extraction of a tidal turbine in preliminary design istypically calculated by using the velocities obtained frompotential flow. In such calculations, the relative changein power extraction due to the presence of the dune canbe represented as,ACPwhere U (= √u² + w²along the dune.==U³U3u²+u) is the local speed-1

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Answered: Preliminary design for a tidal turbine…

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!

Q2.
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
radius of the circular cylinder.
-
S.
√K/(2TU) is the
=
1.2
-
Use a =
(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.

Power extraction of a tidal turbine in preliminary design is
typically calculated by using the velocities obtained from
potential flow. In such calculations, the relative change
in power extraction due to the presence of the dune can
be represented as,
ACP
where U (= √u² + w²
along the dune.
=
=
U³
U3
u²+u) is the local speed
-
1

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