Question 5 : Muddy water is flowing through a horizontal channel at uniform velocity 1.2 m/s. At the distance far from the channel inlet, a slit of 3.5 m is placed across the bottom of the channel, pumping out the muddy water together with the sediments at the rate of 2.5 m³/s. (a) Propose a complex potential function represent the flow field in the water channel. (b) Locate the stagnation point in the flow field. (c) Determine the minimum height of sediments that enter the water channel that escape the suction.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Fluid dynamics: Potential flow

Question 5 : Muddy water is flowing through a horizontal channel at uniform velocity 1.2 m/s. At the distance far from the
channel inlet, a slit of 3.5 m is placed across the bottom of the channel, pumping out the muddy water together with the
sediments at the rate of 2.5 m³/s. (a) Propose a complex potential function represent the flow field in the water channel. (b)
Locate the stagnation point in the flow field. (c) Determine the minimum height of sediments that enter the water channel
that escape the suction.
Transcribed Image Text:Question 5 : Muddy water is flowing through a horizontal channel at uniform velocity 1.2 m/s. At the distance far from the channel inlet, a slit of 3.5 m is placed across the bottom of the channel, pumping out the muddy water together with the sediments at the rate of 2.5 m³/s. (a) Propose a complex potential function represent the flow field in the water channel. (b) Locate the stagnation point in the flow field. (c) Determine the minimum height of sediments that enter the water channel that escape the suction.
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