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Hydraulic flow and pore size relationship Time: 2014-01-20 Source: http://
By Bernoulli's theorem, full pressure = dynamic pressure + static pressure + position potential energy.
According to the principles of dynamic and static pressure conversion and energy conservation in fluid mechanics, the total pressure of a fluid is equal to the sum of the static pressure and dynamic pressure of the fluid in any section of the pipeline.
Pq=Pj+Pd
Where: Pq - fluid full pressure, Pj - hydrostatic pressure, Pd - fluid dynamic pressure.
When the dynamic pressure at a certain place increases, the static pressure at that place will decrease by an equal amount.
Pd=γv^2/2g
Where: γ - fluid density, v - flow rate, g - gravity acceleration.
v=Q/F=4Q/Ï€d^2
Where: Q - flow, F - pipe cross-sectional area, d - pipe diameter, π - pi.
It can be seen from the above that the flow velocity is inversely proportional to the square of the pipe diameter. When the pipe diameter decreases, the flow velocity increases sharply; the dynamic pressure is proportional to the square of the flow velocity, and the dynamic pressure increases sharply when the flow velocity increases. Thus, the static pressure at this point is drastically reduced to the same extent.
When the full pressure of the hydraulic pump is constant, in order to make the system have a stable static pressure, it is necessary to keep the flow rate (dynamic pressure) unchanged, that is, the ratio of Q/d^2 needs to be kept constant.
Change the above parameters to see how they affect each other.
According to the principles of dynamic and static pressure conversion and energy conservation in fluid mechanics, the total pressure of a fluid is equal to the sum of the static pressure and dynamic pressure of the fluid in any section of the pipeline.
Pq=Pj+Pd
Where: Pq - fluid full pressure, Pj - hydrostatic pressure, Pd - fluid dynamic pressure.
When the dynamic pressure at a certain place increases, the static pressure at that place will decrease by an equal amount.
Pd=γv^2/2g
Where: γ - fluid density, v - flow rate, g - gravity acceleration.
v=Q/F=4Q/Ï€d^2
Where: Q - flow, F - pipe cross-sectional area, d - pipe diameter, π - pi.
It can be seen from the above that the flow velocity is inversely proportional to the square of the pipe diameter. When the pipe diameter decreases, the flow velocity increases sharply; the dynamic pressure is proportional to the square of the flow velocity, and the dynamic pressure increases sharply when the flow velocity increases. Thus, the static pressure at this point is drastically reduced to the same extent.
When the full pressure of the hydraulic pump is constant, in order to make the system have a stable static pressure, it is necessary to keep the flow rate (dynamic pressure) unchanged, that is, the ratio of Q/d^2 needs to be kept constant.
Change the above parameters to see how they affect each other.
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