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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 1 Examinations 201 1 /1 2
Module Title: Ocean Energy Conversion
Module Code: MECH 8015
School: Mechanical and Process Engineering
Programme Title: Bachelor of Science (Honours) in Sustainable Energy Technology Certificate in Energy & Environmental Engineering
Programme Code: ESENT_8_Y EENEN_8_Y
External Examiner(s): Mr. Paul Kenny, Mr. Conor Buckley Internal Examiner(s): Mr. Dermot O’Reilly
Instructions: Answer THREE questions out of FOUR
Duration: 2 Hours
Sitting: Winter 201 1
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination paper. If in doubt please contact an Invigilator.
Q1. (a) The 2-D velocity potential of a wave is given by:
Where the y axis is in the still water plane and the z axis is vertically upward Show that this velocity potential satisfies the Laplace equation (8 marks)
(b) A fully developed sea and swell are defined by:
H1/3 T 1 T 2
Sea 2.8 m^ 5.8 s^ 5.4^ s Swell 3.8 m 11.6 s 10.8 s
Determine the characteristics of the combined sea and swell. (12 marks)
Q2. (a) A conical buoy of equal height and base diameter floats apex down in water at a draught d. The buoy is in neutral equilibrium with a KG of 1.875 m. Determine the draught d. (10 marks)
(Note: Second moment of area of circle , centroid of cone is 0.75 of height from
apex.)
(b)A box barge is 56 m long, 12 m wide floats initially at a draught of 2.5 m in sea water of density 1025 kg/m^3. The KG is 5.8 m. A double bottom tank 18 m long and 6 m wide is now partially filled with sea water to a depth of 1.6 m. Determine the metacentric height in this condition. (10 marks)
A cosh k h z cos ky cos t
