Blasius flow and heat transfer of fourth-grade fluid with slip*

(整期优先)网络出版时间:2013-12-22
/ 1
Thisinvestigationdealswiththeeffectsofslip,magneticfield,andnonNewtonianflowparametersontheflowandheattransferofanincompressible,electricallyconductingfourth-gradefluidpastaninfiniteporousplate.Theheattransferanalysisiscarriedoutfortwoheatingprocesses.Thesystemofhighlynon-lineardifferentialequationsissolvedbytheshootingmethodwiththefourth-orderRunge-Kuttamethodformoderatevaluesoftheparameters.TheeffectiveBroydentechniqueisadoptedinordertoimprovetheinitialguessesandtosatisfytheboundaryconditionsatinfinity.Anexceptionalcross-overisobtainedinthevelocityprofileinthepresenceofslip.Thefourth-gradefluidparameterisfoundtoincreasethemomentumboundarylayerthickness,whereastheslipparametersubstantiallydecreasesit.Similarly,thenon-Newtonianfluidparametersandthesliphaveoppositeeffectsonthethermalboundarylayerthickness.