cranfield0094

transvers curvatur effect compress axial symmetr laminar boundari layer flow viscou transvers curvatur effect compress axial symmetr laminar boundari layer flow investig found effect character paramet essenti ratio boundari layer thick bodi radiu shown busemann crocco integr two dimension energi equat still valid axial symmetr flow transvers curvatur effect consid gener mangler transform shown boundari layer equat reduc almost two dimension form make analysi simpler two asymptot flow region character less order uniti latter region present paper primarili concern case shown addit term momentum energi equat differenti two dimension form behav like extern favor pressur gradient except certain special case necessari obtain order uniti mean asymptot expans ascend power paramet small compar uniti proport shown asymptot solut found veloc temperatur distribut compress zero pressur gradient case bodi shape given veloc distribut incompress flow extern veloc form past bodi given zeroth approxim mangler result case linear extern veloc distribut similar profil found valu gener shown similar profil exist expon satisfi condit similar use restrict mean distribut deriv ordinari differenti equat case cone cylind zero pressur gradient equat numer integr first order correct mangler formul show effect skin friction coeffici heat transfer rate becom appreci rang less order uniti constant effect increas magnitud either ratio wall free stream temperatur mach number increas also condit equal valu skin friction coeffici heat transfer increas cylind greater cone flow pressur gradient transvers curvatur term behav like favor pressur gradient tend delay separ transit compar axial symmetr flow transvers curvatur effect neglect