8-sim_solutions4

8-sim_solutions4 - Module 8 Similarity Solutions IV 1...

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Module 8 ME 6302 1 Similarity Solutions IV Similarity Solutions to the Forced Laminar Boundary Layers-IV Professor S.M. Ghiaasiaan G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
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Module 8 ME 6302 2 Incompressible, Steady-State, 2-D Flow Over a Wedge: Heat Transfer The Falkner-Skan solution, and the solution for wall injection in the following form, apply: Energy equation without dissipation: 2 2 at y=0 TT a t y p s T Cu k x yy ρν ⎛⎞ ∂∂ += ⎜⎟ ⎝⎠ = →→ y x m UC x = β 1 2 0 m w vv x =
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Module 8 ME 6302 3 Incompressible, Steady-State, 2-D Flow Over a Wedge: Heat Transfer • Similarity parameters • Similarity solution is possible when () 1 1 2 2 1 1 2 m m s C yx Cx f TT η ν θ + ⎛⎞ = ⎜⎟ ⎝⎠ Ψ= = 0 n s T x −= Δ
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Module 8 ME 6302 4 Incompressible, Steady-State, 2-D Flow Over a Wedge: Heat Transfer • Dimensionless thermal energy equations: 1 "P r ' P r ' 0 2 1 at 0 0 at m fn f θθ θ θη + +− = == =→
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Module 8
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This note was uploaded on 05/22/2010 for the course ME 6302 taught by Professor Mostafaghiaasiaan during the Spring '10 term at Georgia Tech.

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8-sim_solutions4 - Module 8 Similarity Solutions IV 1...

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