Two-dimensional mixed convection along a flat plate

作者: L. S. Yao

DOI: 10.1115/1.3248101

关键词: Classical mechanicsForced convectionCombined forced and natural convectionPrandtl numberNatural convectionInstabilityBoundary layerMathematical analysisPhysicsVortexBuoyancy

摘要: For a horizontal plate, the axial pressure gradient induced by buoyancy force is 0(Gr/Re{sup 5/2}). Numerous solutions have been developed considering free-convection effect as perturbation quantity. Again, forced convection exists limit for small Gr/Re{sup 5/2} and can be reached parameter approaches infinity. The critical difference between flow over plate vertical has pointed out Cheng his co-workers. normal to induce vortex instability. governing development of this instability 3/2}. In paper, authors re-examine problem. they show that two limits {xi} {yields} {infinity}, depending on whether Re O, or Gr {infinity}. mixed-convection, boundary-layer solution valid {theta}. limit, solution, but forced-convection cannot obtained solving equations alone. Also, demonstrate order-of-magnitude arguments Cr/Re{sup not mixed along plate. an inclined long no vortexmore » develops, 2} sole mixed-convection flows. This conclusion confirmed recent measurements (24). physical model analysis kept simple in order point important physics; thus, assumed same direction free (assisting flow), value Prandtl number set one (Pr = 1).« less

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