6533b839fe1ef96bd12a6e0e
RESEARCH PRODUCT
Group analysis and similarity solutions of the compressible boundary layer equations
Paolo BarreraTommaso Brugarinosubject
Group (mathematics)Mechanical EngineeringMathematical analysisPrandtl numberLie groupLaminar flowCondensed Matter PhysicsBoundary layer thicknessSimilarity solutionPhysics::Fluid Dynamicssymbols.namesakeBoundary layerMechanics of MaterialsBlasius boundary layersymbolsMathematicsdescription
In this paper the application of Lie's methods to the equations of the laminar boundary layer is discussed. The momentum and energy equations in Prandtl's form are considered for a steady, viscous, compressible laminar flow with non zero pressure gradient, variable viscosity and thermal conductivity. Group analysis yields similarity solutions for given pressure distributions and particular values of the invariance group parameters (group classification). Crocco's transformation is obtained for the infinite-dimensional group of the Lie's algebra admitted by the equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-12-01 | Meccanica |