Lie Group Method Solution for Two-Dimensional Heat and Viscous Flow Driven by Injection Through a Deformable Rectangular Channel with Porous Walls

DOI10.1007/978-3-030-37062-6_5zbMath1457.76122OpenAlexW3006148755MaRDI QIDQ5856213

K. Modise, Gabriel Magalakwe, Modisawatsona Lucas Lekoko, Chaudry Masood Khalique

Publication date: 25 March 2021

Published in: Mathematical Modelling and Optimization of Engineering Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37062-6_5

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (1)

Entropy generation in magnetohydrodynamics flow of hybrid Casson nanofluid in porous channel: Lie group analysis

Cites Work

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• Two-dimensional flow in a deformable channel with porous medium and variable magnetic field
• Lie group method solution for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability
• Exact self-similarity solution of the Navier–Stokes equations for a porous channel with orthogonally moving walls
• Laminar Flow in Channels with Porous Walls
• Symmetries and differential equations

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