Assignment1 - and contact angle between two vertical...

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CIVL 230 Hydraulics I 2 nd Semester 2010/11 Instructor: Prof. K. M. Mok Assignment #1 Due Date: 19/01/2011 1. For low-speed (laminar) steady flow through a circular pipe, the velocity u varies with radius and takes the form   2 2 0 r r p B u where is the fluid viscosity and p is the pressure drop from entrance to exit. What are the dimensions of the constant B ? 2. A thin plate is separated from two fixed plates by very viscous liquids 1 and 2 , respectively, as in fig. 1. The plate spacing h 1 and h 2 are unequal, as shown. The contact area is A between the center plate and each fluid. Assuming a linear velocity distribution in each fluid, derive the force F required to pull the plate at velocity V . fig. 1 fig. 2. 3. Derive an expression for the capillary height change h for a fluid of surface tension
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Unformatted text preview: and contact angle between two vertical parallel plates a distance W apart and with b , the width of the plates into the paper as in fig. 2. What will h be for water at 20 C ( = 0.073 N/m) if W = 0.5mm. 4. A small submersible moves at velocity V , in fresh water at 20 C, at 2-m depth, where ambient pressure is 131 kPa. Its critical cavitation number is known to be C a = 0.25. At what velocity will cavitation bubbles begin to form on the body? Will the body cavitate if V = 30 m/s and the water is cold (5°C)? 5. Given the unsteady 2-dimensional velocity distribution: V = kxt i – kyt j +0 k k is a positive constant and the velocity components increase linearly with time. Find the equation of the streamline?...
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