Dynamic Pressure: Is 9,81 kPa Lost per Vertical Meter?

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SUMMARY

The discussion confirms that for every vertical meter of water piping, there is a loss of 9.81 kPa of dynamic pressure. This is derived from the equation P = F/A, where the pressure loss is attributed to the height of the water column and the acceleration due to gravity. Specifically, with water having a density of 1000 kg/m³, the pressure loss per meter is calculated as 9.81 kPa. This relationship is fundamental in fluid dynamics and hydraulic engineering.

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Engineers, hydraulic system designers, and students studying fluid mechanics will benefit from this discussion, particularly those focused on pressure loss calculations in piping systems.

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A house has x meters of vertical piping with water flowing through. I'm just wondering if it is correct that one for every vertical meter of pipe loses 9,81 kPa of dynamic pressure?
 
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TSN79 said:
A house has x meters of vertical piping with water flowing through. I'm just wondering if it is correct that one for every vertical meter of pipe loses 9,81 kPa of dynamic pressure?
Correct. Dynamic or static pressure.

P = F/A = mg/A = \rho V g/A = \rho Ahg/A = \rho hg

where h is the height and g is the acceleration due to gravity.

Since for water \rho = 1 \text{g/cm}^3 = 1000 \text{kg/m}^3, the pressure contributed by one metre high of water is 9.81*1000 Pa = 9.81KPa.

AM
 
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