ENGR225Spring2014 - Homework 7

# ENGR225Spring2014 - Homework 7 - ENGR 225 Spring 2014...

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ENGR 225 Spring 2014 Homework #7 due by recitation week of 3/17 1. What is the no-slip condition. What causes it? 2. In regions far from the entrance, fluid flow through a circular pipe is one-dimensional, ad the velocity profile for laminar flow is given by u(r) = u max (1- r 2 /R 2 ), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and u max is the maximum flow velocity, which occurs at the center. Obtain (a) a relation for the drag force applied by the fluid on a section of the pipe of length L and (b) the value of the drag force for water flow at 20°C with R = 0.08 , L = 30 m, u max = 3 m/s, and µ = 0.0010 kg/m-s. Answer: a) 4πµLu max b) 1.13 N 3. A 1.2 mm diameter tube is inserted into an unknown liquid whose density is 960 kg/m 3 , and it is observed that the liquid rises 5 mm in the tube, making a contact angle of 15°. Determine the surface tension of the liquid. Answer: 0.0146 N/m. 4. Consider a heavy car submerged in water in a lake with a flat bottom. The driver’s side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the door is 10 m below the water
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• Spring '08
• mullen
• Fluid Dynamics, Drag force, pressure center, ice block, mm diameter tube

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