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1. A hydrofoil 0.366 m long and 1.82 m wide is placed in a water flow of 12.9 m/s, with p = 1025.3 kg/m and v =1.02x 106 m/s. Estimate the boundary layer thickness at the end of the plate, and the friction drag from the leading edge.

1. A hydrofoil 0.366 m long and 1.82 m wide is placed in a water flow of 12.9 m/s, with p = 1025.3 kg/m and v =1.02x 106 m/s. Estimate the boundary layer thickness at the end of the plate, and the friction drag from the leading edge.

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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HOME WORKS 1. A hydrofoil 0.366 m long and 1.82 m wide is placed in a water flow of 12.9 m/s, with p = 1025.3 kg/m and v =1.02x 106 m²/s. Estimate the boundary layer thickness at the end of the plate, and the friction drag from the leading edge. 2. Water flows at a velocity of 1.2 m/s over a flat plate 1.2 m long. Assume 1/7th power law and determine the boundary layer thickness and displacement thickness. Compare the values with values calculated using laminar flow correlations. v = 1 x 10-6m²/s. 3. The velocity components in a two dimensional flow field for an incompressible fluid are expressed as 3 v= xy? – 2y –, (a) Show that these functions represents a possible case of an irrotational flow, (b) obtain an expression for the stream function y and (c) obtain an expression for the velocity potential o. 4. The flow represented by y = xy, determine (a) the velocity components (b) the rotational character (c) the shearing strain rates a 5. The stream function for a two-dimensional incompressible flow is ax2 ay2 + bxy 2 2 Where a, and b are known constants. Find the velocity potential for the flow. 6. Find the stream function associated with the two-dimensional incompressible, possible flow with velocity components given by cos 0 and ug = -b(1+ a2" sin 0 U, = b|1- Where a, and b are known constants.
Transcribed Image Text:HOME WORKS 1. A hydrofoil 0.366 m long and 1.82 m wide is placed in a water flow of 12.9 m/s, with p = 1025.3 kg/m and v =1.02x 106 m²/s. Estimate the boundary layer thickness at the end of the plate, and the friction drag from the leading edge. 2. Water flows at a velocity of 1.2 m/s over a flat plate 1.2 m long. Assume 1/7th power law and determine the boundary layer thickness and displacement thickness. Compare the values with values calculated using laminar flow correlations. v = 1 x 10-6m²/s. 3. The velocity components in a two dimensional flow field for an incompressible fluid are expressed as 3 v= xy? – 2y –, (a) Show that these functions represents a possible case of an irrotational flow, (b) obtain an expression for the stream function y and (c) obtain an expression for the velocity potential o. 4. The flow represented by y = xy, determine (a) the velocity components (b) the rotational character (c) the shearing strain rates a 5. The stream function for a two-dimensional incompressible flow is ax2 ay2 + bxy 2 2 Where a, and b are known constants. Find the velocity potential for the flow. 6. Find the stream function associated with the two-dimensional incompressible, possible flow with velocity components given by cos 0 and ug = -b(1+ a2" sin 0 U, = b|1- Where a, and b are known constants.
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