Air at 105 kpa and 37°c flows upward through a 6-cm-diameter inclined duct at a rate of 65 l/s. the duct diameter is then reduced to 4 cm through a reducer. the pressure change across the reducer is measured by a water manometer. the elevation difference between the two points on the pipe where the two arms of the manometer are attached is 0.20 m. determine the differential height between the fluid levels of the two arms of the manometer.

Explanation:

Given:

Using continuity equation:

As we know,

Hence:

And:

According to Bernoulli's principle we have for an incomprehensible flow:

Now we're concerned about the density of air:

Apply Bernoulli's principle assuming it an in-compressible flow:

Now the difference in pressure:

∴The corresponding difference in the water levels of manometer:

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..

d. air pressure decreases as altitude increases.