Define poiseuilles equation for coefficient of viscosity

  • Poiseuille's equation is a formula used to calculate the coefficient of viscosity of a fluid. 
  • It states that the pressure drop across a fluid flowing through a cylindrical pipe is proportional to the fluid's viscosity, the fourth power of the radius of the pipe, and the length of the pipe. 
  • The equation is expressed as:


ΔP = (8ηL) / (πr^4) * Q

Where:
ΔP is the pressure drop
η is the viscosity of the fluid
L is the length of the pipe
r is the radius of the pipe
Q is the flow rate of the fluid

  • This equation is used in various applications such as in the study of blood flow through vessels, design of pipes and flow meters, and in the analysis of the mechanical properties of fluids