 boundari layer shock thin expans wave move stationari fluid boundari layer shock thin expans wave move stationari fluid boundari layer shock thin expans wave advanc stationari fluid determin laminar turbul boundari layer consid wall surfac temperatur wave investig assumpt thin expans wave valid weak expans progress accur strong expans wave laminar-boundari-layer problem solv numer integr weak wave case solv analyt integr karman-pohlhausen type solut provid guid determin express accur repres numer data analyt express boundari-layer paramet present agre numer integr 1 percent turbul-boundari-layer problem solv integr method emploi solut turbul compress flow semi-infinit flat plate fluid veloc rel wall assum seventh-power profil blasiu equat relat turbul skin friction boundari-layer thick util form account compress consider heat transfer wall permit wall surfac temperatur wave determin wall thick assum greater wall thermal-boundari-layer thick wall temperatur uniform function distanc wave laminar-boundari-layer case vari distanc turbul-boundari-layer case 