Why pressure is inversely proportional to velocity in pipes?
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If you are applying pressure to a certain amount of gas, it increases its temperature (Gay-Lussac's Gas Volume Law), which is the average kinetic energy of the gas molecules; thus increasing its velocities.
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Hey .
In fluid flow, the velocity v is almost never inversely proportional to pressure p (in the sense of product being constant). But it is often the case that velocity drops where pressure increases and vice versus. This is because either the Bernoulli principle holds or is a first good approximation. By this principle the sum v^2/2 + p/density is constant (absent gravitational and unsteady effects). When this holds, an increase in velocity must be compensated by a drop in pressure.
Note that there are countless cases where this is not the case at all. For example, in a waterfall, water velocity increases downward while pressure remains constant at atmospheric value. And in a major oceanic current, the velocity changes moderately over depth while pressure increases hydrostatically very strongly.
Thanks.
In fluid flow, the velocity v is almost never inversely proportional to pressure p (in the sense of product being constant). But it is often the case that velocity drops where pressure increases and vice versus. This is because either the Bernoulli principle holds or is a first good approximation. By this principle the sum v^2/2 + p/density is constant (absent gravitational and unsteady effects). When this holds, an increase in velocity must be compensated by a drop in pressure.
Note that there are countless cases where this is not the case at all. For example, in a waterfall, water velocity increases downward while pressure remains constant at atmospheric value. And in a major oceanic current, the velocity changes moderately over depth while pressure increases hydrostatically very strongly.
Thanks.
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