ueme2123 fluid mechanics tutorial 1

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1 UEME 2123 Fluid Mechanics 1 UIVERSITI TUKU ABDUL RAHMA Faculty : Engineering and Science Unit Code : UEME 2123 Course : Bachelor of Engineering (Hons) Chemical / Civil/ Material/ Mechatronic/ Mechanical Engineering Unit Title : Fluid Mechanics 1 Academic Year : 2014/2015 Lecturer : Dr. Bee Soo Tueen/ Mr. Chong Kok Chung/ Mr P. Prakas A/L S.Palanychamy Session : 201505 Tutorial 1 (Chapter 1: Introduction to Fluid Mechanics) 1) The force, F, of the wind blowing against a building is given by F = C D ρV 2 A/2 where V is the wind speed, ρ the density of the air, A the cross-sectional area of the building, and C D is a constant termed the drag coefficient. Determine the dimensions of the drag coefficient. 2) A certain object weighs 300N at the Earth’s surface. Determine the mass of the object (in kilograms) and its weight (in newtons) if located on the moon’s surface where the gravitational attraction is approximately one-sixth at the Earth’s surface. 3) A rigid tank contains air at a pressure of 620 kPa and a temperature of 15 o C. By how much will the pressure increase as the temperature is increased to 43 o C? 4) For air at standard atmospheric pressure the value of the constants that appear in the Sutherland equation are C = 1.458 x 10 -6 kg/(m.s.K 1/2 ) and S = 110.4K. Use these values to predict the viscosity of air at 10 o C and 90 o C and compare with values given in Table B.4 in the appendix. 5) A 10 kg block slides down a smooth inclined surface as shown in the figure. Determine the terminal velocity of the block if the 0.1 mm gap between the block and the surface contain SAE 30 oil at 15oC. Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is 0.1 m 2 .

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  • 1 UEME 2123 Fluid Mechanics 1

    UIVERSITI TUKU ABDUL RAHMA

    Faculty : Engineering and Science Unit

    Code : UEME 2123

    Course :

    Bachelor of Engineering

    (Hons) Chemical / Civil/

    Material/ Mechatronic/

    Mechanical Engineering

    Unit Title : Fluid Mechanics 1

    Academic

    Year : 2014/2015

    Lecturer

    :

    Dr. Bee Soo Tueen/ Mr. Chong

    Kok Chung/ Mr P. Prakas A/L

    S.Palanychamy

    Session : 201505

    Tutorial 1 (Chapter 1: Introduction to Fluid Mechanics)

    1) The force, F, of the wind blowing against a building is given by F = CD V2A/2 where V

    is the wind speed, the density of the air, A the cross-sectional area of the building, and CD is a

    constant termed the drag coefficient. Determine the dimensions of the drag coefficient.

    2) A certain object weighs 300N at the Earths surface. Determine the mass of the object (in

    kilograms) and its weight (in newtons) if located on the moons surface where the gravitational

    attraction is approximately one-sixth at the Earths surface.

    3) A rigid tank contains air at a pressure of 620 kPa and a temperature of 15oC. By how much

    will the pressure increase as the temperature is increased to 43oC?

    4) For air at standard atmospheric pressure the value of the constants that appear in the

    Sutherland equation are C = 1.458 x 10-6 kg/(m.s.K

    1/2) and S = 110.4K. Use these values to

    predict the viscosity of air at 10oC and 90

    oC and compare with values given in Table B.4 in the

    appendix.

    5) A 10 kg block slides down a smooth inclined surface as shown in the figure. Determine the

    terminal velocity of the block if the 0.1 mm gap between the block and the surface contain SAE

    30 oil at 15oC. Assume the velocity distribution in the gap is linear, and the area of the block in

    contact with the oil is 0.1 m2.

  • 2 UEME 2123 Fluid Mechanics 1

    6) A 1 m3 volume of water is contained in a rigid container. Estimate the change in the

    volume of the water when piston applies a pressure of 35MPa.

    7) An open 2 mm diameter tube is inserted into a pan of ethyl alcohol, and a similar 4 mm

    diameter tube is inserted into a pan of water. In which tube will the height of the rise of the fluid

    column due to capillary action be the greatest? Assume the angle of contact is the same for both

    tubes.

    (Chapter 2: Fluid Statics)

    1) A mercury manometer is connected to a large reservoir of water as shown in the figure.

    Determined the ratio, hw/hm, of the distance hw and hm indicated in the figure

    2) A U-tube manometer is connected to a closed tank as shown in the figure. The air pressure

    in the tank is 3.4 kPa and the liquid in the tank is oil ( = 8.5kN/m3). The pressure at point A is

    13.78 kPa. Determine: (a) the depth of oil, z and (b) the differential reading, h on the manometer.

  • 3 UEME 2123 Fluid Mechanics 1

    3) Determine the elevation difference, h, between the water levels in the two open tanks

    shown in the figure.

    4) An inverted 0.1 m diameter circular cylinder is partially filled with water and held in place

    as shown in the figure. A force of 20 N is needed to pull the flat plate from the cylinder.

    Determine the air pressure within the cylinder. The place is not fastened to the cylinder and has

    negligible mass.