Applications of group theoretical methods to non-Newtonian fluid flow models: survey of results

DOI10.1155/2017/6847647zbMath1426.76027OpenAlexW2752621468MaRDI QIDQ1993040

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6847647

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (2)

One-parameter Lie scaling study of Carreau fluid flow with thermal radiation effects ⋮ The discretized Boussinesq equation and its conditional symmetry reduction

Cites Work

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Group invariant solution for a pre-existing fracture driven by a power-law fluid in impermeable rock
Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium
Group theoretical analysis and similarity solutions for stress boundary layers in viscoelastic flows
MHD flow of a third grade fluid in a porous half space with plate suction or injection: an analytical approach
Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method
Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate
Lie symmetry analysis and some new exact solutions for rotating flow of a second-order fluid on a porous plate
Unsteady boundary layer flow of power-law fluid on stretching sheet surface
Boundary layer equations and stretching sheet solutions for the modified second grade fluid
On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
Symmetry reductions of a flow with power law fluid contaminant-modified viscosity
Stokes' first problem for Sisko fluid over a porous wall
The unsteady flow of a fourth-grade fluid past a porous plate
Travelling wave solutions to Stokes' problem for a fourth grade fluid
Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane
Analytic solution for flow of a micropolar fluid
Lie group analysis of creeping flow of a second grade fluid
Exact flow of a third-grade fluid on a porous wall
Similarity solutions for creeping flow and heat transfer in second grade fluids
Lie group analysis for nanofluid flow past a convectively heated stretching surface
Exact solutions of a third-grade fluid flow on a porous plate
Unsteady solutions in a third-grade fluid filling the porous space
A note on some solutions for the flow of a fourth grade fluid in a porous space
Some new exact solutions for MHD aligned creeping flow and heat transfer in second-grade fluids by using Lie group analysis
Conservation laws and conserved quantities for laminar two-dimensional and radial jets
Exact solutions for nonlinear partial differential equation arising in third grade fluid flows
Effect of magnetic field on the flow of a fourth order fluid
Rayleigh problem for a MHD Sisko fluid
Conservation laws via the partial Lagrangian and group invariant solutions for radial and two-dimensional free jets
Group properties and invariant solutions of plane micropolar flows
Similarity solutions for boundary layer equations of a Powel-Eyring fluid
Self-similar unsteady flow of a sisko fluid in a cylindrical tube undergoing translation
Invariant solutions of the unidirectional flow of an electrically charged power-law non-Newtonian fluid over a flat plate in presence of a transverse magnetic field
Symmetries of boundary layer equations of power-law fluids of second grade
Boundary layer equations and Lie group analysis of a Sisko fluid
Closed-form solutions for a nonlinear partial differential equation arising in the study of a fourth grade fluid model
Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
Similarity solutions of boundary layer equations for a special non-Newtonian fluid in a special coordinate system
Reductions and solutions for the unsteady flow of a fourth grade fluid on a porous plate
Couette flow of a third-grade fluid with variable magnetic field
Analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid
Lie point symmetries and similarity solutions for an electrically conducting Jeffrey fluid
Symmetries and solution of a micropolar fluid flow through a cylinder

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