What is it about?

The investigation focuses on the effects of wall velocity slip on the solution of a viscous, laminar, incompressible channel flow subjected to small-scaled contraction and expansion of the weakly permeable walls. The study of such flow systems is often contextual for fluid transport in biological organisms.

Featured Image

Why is it important?

Lie symmetry analysis is used to reduce the number of independent variables from a system of partial differential equations. By using this symmetry analysis one can covert a complicated system of partial differential equations into a system of ordinary differential equations which is easier to solve.


As the analytical solution of a system of complicated partial differential equations is not an easy task. But the use of Lie symmetry analysis helps us to covert a system of PDE's into a single fourth-order ODE which is easier to solve analytically. By following a similar manner one can use this procedure to solve any kind of complicated system of partial differential equations with boundary conditions analytically.

Sougata Mandal

Read the Original

This page is a summary of: Lie-group method solutions for a viscous flow in a dilating-squeezing permeable channel with velocity slip, Physics of Fluids, April 2023, American Institute of Physics,
DOI: 10.1063/5.0144928.
You can read the full text:



The following have contributed to this page