 transvers curvatur compress axial symmetr laminar boundari layer flow transvers curvatur compress axial symmetr laminar boundari layer flow viscou transvers curvatur compress axial symmetr laminar boundari-layer flow investig character paramet essenti ratio boundari-layer thick bodi radiu busemann crocco integr two-dimension energi equat valid axial symmetr flow transvers curvatur effect consid gener mangler's transform boundari-layer equat reduc two-dimension form make analysi simpler asymptot flow region character order uniti region paper concern case addit term momentum energi equat differenti two-dimension form behav extern favor pressur gradient special case order uniti asymptot expans ascend power paramet small compar uniti proport asymptot solut 1 veloc temperatur distribut compress pressur gradient case bodi shape 2 veloc distribut incompress flow extern veloc form bodi zeroth approxim mangler result case linear extern veloc distribut profil valu gener profil exist expon satisfi condit restrict mean distribut deriv ordinari differenti equat case cone cylind pressur gradient equat numer integr first-order correct mangler formul skin-friction coeffici heat-transfer rate appreci rang order uniti constant effect increas magnitud ratio wall free-stream temperatur mach number increas condit equal skin-friction coeffici heat-transfer increas cylind greater cone flow pressur gradient transvers curvatur term behav favor pressur gradient delai separ transit compar axial symmetr flow transvers curvatur neglect 