The Hydrostatic Pressure Equation with Derivation - Fluid Mechanics

[@Learn_Civil_Engineering]

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[@MDJABIRAHMEDAKAND]

i have seen 3 or 4 video...but here i have understood full concept....thanks lot....

[@danielrobles4884]

Can you elaborate on when you took the limit?

[@Learn_Civil_Engineering]

When we take the limit as 'delta V' tends to zero, 'x', 'y' and 'z' also tend to zero. Therefore the value for 'p(x,y,z+dz/2) - p(x,y,z-dz/2)' is so tiny that we can define it as 'delta z'. I hope this answers your question :)

[@zatsuki9021]

Its basically the definition of the derivative

[@welcomeholyspirit452]

Please where from the half (1\2)

[@Learn_Civil_Engineering]

When you say the half (1/2), do you mean the coordinates of the outer boundaries of the volume of fluid? If so, considering the vertical forces section, the centre of the volume of fluid has a vertical coordinate of 'z'. As the volume of fluid has a depth of 'dz', the upper surface of the fluid is a height of 'dz/2' above the centre of the fluid, hence the upper surface has a vertical coordinate of 'z + dz/2'. I hope this helps :)