Reynolds number

Reynolds number

Reynolds dimensionless number in a pipe UNDER CONSTRUCTION

2025.Feb.21 21:16:13

Velocity (u)

m ⁄ s

Mean velocity.

Density (ρ)

kg ⁄ m³

Density of the fluid.

Diameter (D)

Inside diameter of pipe.

Dyn. viscosity (μ)

Pa s (=kg ⁄ (m s))

Dynamic viscosity.

Units

mg⁄L BUN

Choice of units.

Points

N. of plot points.

Show values

Show graph coordinates.

Simulates a dialysis treatment. Computes the evolution of a dialysis procedure vs. time by integrating its ODEs, with given parameters, from given initial values, all given by the user.

Files involved: P-dialysis.php (this one), Dialysis.php, dialysis.py.

Integration is by Python 'scipy' module solver solve_ivp, with the selected method of numerical integration.

Shows the graphical results of the solved ODEs.

References:

Plate: DialysisSimul

• (Wikipedia) PHP (from Personal Home Page)

• Dunn, S. M., 2005, "Numerical Methods in Biomedical Engineering". (Dunn, S. M., et al., 2006, ditto, Elsevier (Academic Press), ISBN: 978-0-12-186031-8, https://doi.org/10.1016/B978-0-12-186031-8.X5000-6.)

• National Kidney Foundation (USA) • National Institutes of Health (USA)

• CISTI'2025, 20.ª Conferência Ibérica de Sistemas e Tecnologias de Informação (20.th Iberian Conference on Information Systems and Technologies), Lisbon (Portugal), 16–19 June 2025.

• 1850-01-15: Kovalevskaya, Sofia Vasilyevna (Софья Васильевна Ковалевская) (†1891-02-10, 41 yrs.).

http://web.ist.utl.pt/~mcasquilho/compute/CISTI_2025/Reynolds/P-Reynolds.php
Created: 2025-01-26 — Last modified: 2025-01-26