Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction
Imre Ferenc Barna, Gabriella Bognár, Laszló Mátyás, Krisztián Hriczó
Abstract
Abstract We investigate the incompressible and compressible heat conducting boundary layer with applying the two-dimensional self-similar Ansatz. Analytic solutions can be found for the incompressible case which can be expressed with special functions. The parameter dependencies are studied and discussed in details. In the last part of our study we present the ordinary differential equation (ODE) system which is obtained for compressible boundary layers.
Topics & Concepts
CompressibilityAnsatzThermal conductionOdeOrdinary differential equationMathematical analysisBoundary (topology)Boundary layerBoundary value problemMathematicsPhysicsMechanicsDifferential equationThermodynamicsMathematical physicsFluid Dynamics and Turbulent FlowsNanofluid Flow and Heat TransferComputational Fluid Dynamics and Aerodynamics