CIVL2131_tutorial_1.pdf - CIVL2131 Fluid Mechanics for...

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CIVL2131 Fluid Mechanics for Engineers Tutorial 1: Fluid Properties and Hydrostatics I (covering week 1-2) Note: Hydrostatics II (buoyancy & stability will be covered at the end of the semester) Part I: Fluid properties (week 1) 1) Describe the following quantities in primary and actual units. (a) Density, (b) Pressure, (c) Power, (d) Energy, (e) Mass, (f) Flow rate. 2) Determine which of the following equations are dimensionally homogeneous. a) F = ma, where a is acceleration, m is mass and F is a force. b) P ൌ ߩ݄݃ܣ , where P is pressure, g is acceleration due to gravity, and h is length scale, and A is an area. c) 3/2 2 3 2 Q CL gH , where Q is discharge, C is a pure number, L is length, g is acceleration due to gravity, and H is head. d) 2 2 V L L D g h f , where h L is measure of energy loss in meter , f is a dimensionless resistance coefficient, L is length, D is diameter, V is velocity, and g is acceleration due to gravity. (Ans: only b) is inhomogeneous) 3) Sketch a graph of shear stress ( ) versus strain ( du/dy
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