﻿ Calculation of Hagen-Poiseuille equation

# Calculation of Hagen-Poiseuille equation

 1 Dynamic fluid viscosity：η Pa･s - 2 Internal radius of pipe：a m - 3 Distance from the center of pipe：r m - 4 ∂p or Pressure diffrence between two point(Δp) Pa - 5 ∂z or Total length of Pipe(L) m - 6 Graph a - vz(r) r - vz(r) a - Q Plot Input Data： YesNo , Figure： OnOff
:Export Graph Image.

## LaTex

$\upsilon _{z}(r)=\frac{1}{4ta}(a^{2}-r^{2})\frac{\partial p}{\partial z},\, Q=\frac{\pi a^{4}}{8ta }\frac{\partial p}{\partial z}$

## Keyword

Hagen-Poiseuille equation,dynamic fluid viscosity,internal radius of pipe,volumetric flow rate,velocity of liquid moving.

## Reference

・Graham Woan著・堤正義訳：『ケンブリッジ物理公式ハンドブック』,共立出版,p.83,2007
・Bernard Stanford Massey,John Ward-Smith：『Mechanics of fluids Seventh edition』,p.206,2007
POISEUILLE'S LAW AND THE VISCOSITY OF FLUIDS
Hagen–Poiseuille equation

## Remarks

・η：Dynamic fluid viscosity(Pa･s)
・r：Distance from the center of pipe
・p：Pressure
・z：Length of Pipe
・Q：volumetric flow rate
・vz(r)：velocity of liquid moving
・η：Dynamic fluid viscosity(Pa･s)
・1(Pa･s) = 1(N･s/m^2) = 1(kg･s/m)