Generalized stokes’ flow and radiative heat transfer model of a non-Newtonian fluid in a darcy porous medium subject to Navier’s slip conditions on the penetrable porous boundary: Group theoretical and compatibility analysis
作者：
Highlights：
• We model unsteady flow of a third grade fluid filling the porous half space with suction/blowing.
• The heat transfer analysis is also carried out under the influence of thermal radiation and internal heat source/sink.
• We obtain all possible symmetries of the model equations using the classical Lie group approach.
• The compatibility and generalized group approach is used.
• A conditional symmetry approach is also employed.
• We construct new class of group invariant solutions.
• The graphs representing the solutions are plotted and discussed.
摘要
•We model unsteady flow of a third grade fluid filling the porous half space with suction/blowing.•The heat transfer analysis is also carried out under the influence of thermal radiation and internal heat source/sink.•We obtain all possible symmetries of the model equations using the classical Lie group approach.•The compatibility and generalized group approach is used.•A conditional symmetry approach is also employed.•We construct new class of group invariant solutions.•The graphs representing the solutions are plotted and discussed.
论文关键词：Lie groups,Conditional symmetry,Compatibility criterion,Group invariant solutions,Third grade fluid,Heat transfer,Suction/injection
论文评审过程：Received 17 August 2020, Accepted 31 January 2021, Available online 12 February 2021, Version of Record 12 February 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126048
