Convective Effect on Magnetohydrodynamic (MHD) Stagnation Point Flow of Casson Fluid over a Vertical Exponentially Stretching/Shrinking Surface: Triple Solutions

作者: Liaquat Ali Lund , Zurni Omar , Ilyas Khan , Dumitru Baleanu , Kottakkaran Sooppy Nisar

DOI: 10.3390/SYM12081238

关键词: Partial differential equationFlow (mathematics)Shooting methodOrdinary differential equationMechanicsPhysicsCombined forced and natural convectionNusselt numberStagnation pointBoundary value problem

摘要: In the current study, characteristics of heat transfer a steady, two-dimensional, stagnation point, and magnetohydrodynamic (MHD) flow shear thickening Casson fluid on an exponentially vertical shrinking/stretching surface are examined in attendance convective boundary conditions. The impact suction parameter is also considered. system governing partial differential equations (PDEs) conditions converted into ordinary (ODEs) with suitable exponential similarity variables transformations then solved using shooting method fourth order Runge–Kutta method. Similarity transformation important class phenomena which scale symmetry allows one to reduce number independent problem. It should be noted that solutions ODEs show symmetrical behavior PDES for profiles velocity temperature. obtained case stretching/shrinking parameters. revealed there exist two ranges specific physical parameters, three depend opposing where point (A) equal 0.1, when λ1 = 0 mixed convection A > single solution exists 0. Moreover, effects numerous applied parameters velocity, temperature distributions, skin friction, local Nusselt given through tables graphs both shrinking stretching surfaces.

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