Question

water is drawn from a lake, flows through a pump and passes down a long pipe in turbulent flow. a slug of tracer (not an ideal pulse input) enters the intake line at the lake, and is recorded downstream at two locations in the pipe l meters apart. the mean residence time of fluid between recording points is 100 sec, and variance of the two recorded signals is what would be the spread of an ideal pulse response for a section of this pipe, free from end effects and of length l/5?

Answer 1

To calculate the spread of an ideal pulse response for a section of the pipe, divide the standard deviation of the recorded signals by the length of the pipe section.

Step-by-step explanation:

The spread of an ideal pulse response for a section of this pipe, free from end effects and of length l/5, can be determined by calculating the variance of the two recorded signals. The mean residence time of fluid between recording points is 100 sec.

To calculate the spread, we need to know the standard deviation of the recorded signals. Since the variance is given, we can calculate the standard deviation by taking the square root of the variance. Once we have the standard deviation, we can divide it by the length of the pipe section (l/5) to find the spread.