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Write a brief (No more than a few paragraphs plus the equations themselves on a) description of the three-dimensional unsteady Navier-Stokes equations as applied to water. The description should include a brief history, the mathematical characteristics of the equations and what they may be used for, please include any references used.
Forces F and P have magnitudes of F=40 lb. and P= 60 lb., Using the paralellogram law, determine the magnitude of the resultant R and the angle theta it makes with the horizontal. The given angle is 40 degrees.
a ceramic matrix composite contains internal flaws as large as 0.001 cm in length. The plane strain fracture toughness of the composite is 45 MPa sqr(m), and the tensile strength is 550 MPa.
Select the number and size of reinforcing bars required to resist a total factored moment of 180 ft. kips for a rectangular section with b = 12 in., d = 19.5 in., h = 24 in., f'c = 4 ksi, and fy = 60 ksi.
A car is traveling along a road at a uniform velocity when at time zero the driver recognizes a hazard. At a moment 0.8 seconds later the driver brakes her vehicle , resulting in her vehicle sliding 90 ft in the same direction
Soil has been compacted in an earth dam to a bulk density of 2.2 Mg/m3 and a water content of 9.5%. The value of Gs is 2.6. Would it be possible to compact the above soil at a water content of 13.5% to a dry density of 2.00 Mg/m3
A certain element of soil is subject to a mean normal stress of 420 kpa and a deviator stress of 280 kpa. The major principal plane is rotated 30 degrees counterclockwise from horizontal.
An open vat in a food processing plant contains 400L of water at 20 degrees C and atmospheric pressure. If the water is heated to 80 degrees C, what will be the percentage change in its volume? If the vat has a diameter of 3m
A cylindrical rod with a length of 380 mm and a diameter of 10 mm is to be subjected to a tensile load. The rod must not experience plastic deformation or an increase in length of more than 0.9 mm when a load of 24.5 kN is applied.
For load combination 1.2D + 1.6L, determine the maximum negative moment in each span and maximum negative moment at each support. remember that live loads shall be placed so as to cause the greatest effect.
A 20-kg iron ball is moving at 100 km/hr should be accelerated at a constant rate of 10 m/(sec)^2. What is the force required
Derive an equation that allows you to compute the diameter of the drain hole for a desired steady water height in the tank for the design condition inflow and pumping rates.
World population 10,000 years ago has been estimated at about 5 million. what exponential rate of growth would have resulaed in the population in 1850 , which is estimated at 1 billion had that rate continued
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