Chapter 8: Internal Forced Convection
Chapter 8: Internal Forced Convection
Chapter 8: Internal Forced Convection
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• Eq. 6-38 with the boundary conditions( )u rR 2 2⎛ dP ⎞⎛1r ⎞=− ⎜ ⎟⎜ −2 ⎟4µ⎝ dx ⎠⎝ R ⎠(8-39)• Substituting Eq. 8–39 into Eq. 8–2, and performing theintegration gives the average velocityRR 2 22 2 R ⎛dP⎞⎛ r ⎞Vavg= ∫u 2( r)rdr =− ∫ 1 rdr2 ⎜ ⎟⎜ −2 ⎟R R 4µdx R0 0 ⎝ ⎠⎝ ⎠2R ⎛dP⎞=− ⎜ ⎟8µ⎝ dx ⎠(8-40)