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.
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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.
Perspectives
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
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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.
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