cranfield0073

investig stabil laminar boundari layer compress fluid present report stabil two dimension laminar flow investig method small perturb chief emphasi place case laminar boundari layer part present report deal gener mathemat theori gener equat govern one normal mode small veloc temperatur disturb deriv studi great detail found reynold number order encount aerodynam problem temperatur disturb neglig effect particular veloc solut depend primarili viscos coeffici viscou solut inde latter actual form compress fluid incompress fluid least first approxim fact mathemat analysi greatli simplifi final equat determin characterist valu stabil problem depend inviscid solut function tietjen manner similar case incompress fluid second viscos coeffici coeffici heat conduct enter problem ordinari coeffici viscos near solid surfac involv part deal limit case infinit reynold number studi energi relat much emphas shown disturb gain energi main flow gradient product mean densiti mean vortic near solid surfac sign opposit near outer edg boundari layer gener stabil criterion obtain term gradient product densiti vortic analog rayleigh tollmien criterion case incompress fluid gradient vanish valu veloc ratio main flow exceed free stream mach number