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:

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here are some information of the future of geothermal energy:

-the future of geothermal energy can pretty much be summed up with a single word: more

-scientists plan in going deeper than 120 meters

-we are hoping that one day, we will get all of our energy from renewable energy sources such as geothermal energy

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