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Discuss the effect of Reynolds number on the thickness of boundary layer flows and the wall shear stress. A tugboat is pulling a log raft (Figure Q2) on the surface of a lake at a constant speed of U-5.0 m/s. The log raft can be modelled as a flat plate with a length of L-20m and a width of W-5 m. Assume the boundary layer forming on both sides (air side and water side) of the log raft is two-dimensional and laminar with a second order velocity distribution: U ₁-²-² 2 Us

Discuss the effect of Reynolds number on the thickness of boundary layer flows and the wall shear stress. A tugboat is pulling a log raft (Figure Q2) on the surface of a lake at a constant speed of U-5.0 m/s. The log raft can be modelled as a flat plate with a length of L-20m and a width of W-5 m. Assume the boundary layer forming on both sides (air side and water side) of the log raft is two-dimensional and laminar with a second order velocity distribution: U ₁-²-² 2 Us

Elements Of Electromagnetics
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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Question 2 a) Discuss the effect of Reynolds number on the thickness of boundary layer flows and the wall shear stress. b) A tugboat is pulling a log raft (Figure Q2) on the surface of a lake at a constant speed of Ubor-5.0 m/s. The log raft can be modelled as a flat plate with a length of L-20m and a width of W-5 m. boat Assume the boundary layer forming on both sides (air side and water side) of the log raft is two-dimensional and laminar with a second order velocity distribution: U +/= ²) - ² 2 Us
Transcribed Image Text:Question 2 a) Discuss the effect of Reynolds number on the thickness of boundary layer flows and the wall shear stress. b) A tugboat is pulling a log raft (Figure Q2) on the surface of a lake at a constant speed of Ubor-5.0 m/s. The log raft can be modelled as a flat plate with a length of L-20m and a width of W-5 m. boat Assume the boundary layer forming on both sides (air side and water side) of the log raft is two-dimensional and laminar with a second order velocity distribution: U +/= ²) - ² 2 Us
boat Tug Boat rope boat Air -X Log Raft Water Figure Q2 1) By using the Momentum Integral Equation find an expression for the wall shear stress in terms of Reynolds number and then estimate the tensile stress acting on the rope. What is the power requirement to drag the log raft at this speed? The rope has a circular cross section with a diameter of 15 mm. 2) Does the tensile stress in the rope increase if the flow along the log raft was turbulent on both sides? Explain. You may assume: Psea-water = 1000 kg/m³ Hsea-water = 10-³Ns/m² and Us=Uboat, Vair = 1.46 x 10-5 m²/s and Pair = 1.225 kg/m³.
Transcribed Image Text:boat Tug Boat rope boat Air -X Log Raft Water Figure Q2 1) By using the Momentum Integral Equation find an expression for the wall shear stress in terms of Reynolds number and then estimate the tensile stress acting on the rope. What is the power requirement to drag the log raft at this speed? The rope has a circular cross section with a diameter of 15 mm. 2) Does the tensile stress in the rope increase if the flow along the log raft was turbulent on both sides? Explain. You may assume: Psea-water = 1000 kg/m³ Hsea-water = 10-³Ns/m² and Us=Uboat, Vair = 1.46 x 10-5 m²/s and Pair = 1.225 kg/m³.
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