For fluid flow over a surface, the heat flux to the surface can be computed as
Where
y, cm | 0 | 1 | 3 | 5 |
T, K | 900 | 480 | 270 | 200 |
If
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Numerical Methods for Engineers
- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardFind the constant of proportionality. y is directly proportional to x. If x=30, then y=15.arrow_forwardFind the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.arrow_forward
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- Fluid runs through a drainage pipe with a 10-cm radius and a length of 30m (3000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v(x) is the velocity of the fluid (in. cm/sec) and x represents the distance (in. cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v(x) 195.5 195.1 194.5 193.5 192.2 190.6 188.8 186.6 184.2 181.5 Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient to 4 decimal places.arrow_forwardAssume that the rate at which a cup of coffee cools to room temperature is proportional to the difference between its temperature T° C and the ambient room temperature R° C. A cup of coffee is placed in a 20°C room, cools from 100°C to 87°C in 3 minutes. The temperature varies over time t (in minutes) according to T = R+Aekt.t >0. a) Enter the values of R and A in the box below. R = Number A = Number b) Enter the exact value of k, in Maple syntax, in the box below. k %3D c) The temperature of the cup of coffee will be 60°C when t = Number Correct your answer to 1 decimal place. d) Enter the limiting value of its temperature in the box below. Numberarrow_forwardUse the method of separation of variables to solve the heat conduction equation:arrow_forward
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