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:

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

the gas collects in coils that then becomes a liquid that then flows through the coils inside the refrigerator