Which equation is used for the calculation of permeate flux in pore flow model? Gibbs Ficks Hagen Poiseuille Maxwell

The equation used for the calculation of permeate flux in pore flow model is the Hagen-Poiseuille equation. Here is the step by step process:

1. Identify the parameters: The Hagen-Poiseuille equation is used to describe the flow of incompressible and Newtonian fluids through a cylindrical pipe. The parameters involved in this equation are the pressure difference across the ends of the pipe, the length of the pipe, the viscosity of the fluid, and the radius of the pipe.

2. Write down the Hagen-Poiseuille equation: The equation is given by Q = (πr^4 ΔP) / (8ηL), where Q is the volumetric flow rate, r is the radius of the pipe, ΔP is the pressure difference, η is the dynamic viscosity of the fluid, and L is the length of the pipe.

3. Substitute the values: Substitute the values of the parameters into the equation to calculate the permeate flux.

4. Solve the equation: After substituting the values, solve the equation to find the permeate flux.

Remember, this equation assumes steady-state laminar flow, and the pipe is long enough so that entrance effects can be ignored.