411 x 10 5 x 132 x x 6 24 ansys verification manual

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Unformatted text preview: l . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM121 d VX(r ) dr 1 ∆P = R = 0.0125 Pa 2L τw = µ Temperature Solution As the uniform-temperature fluid enters the pipe, convection heat transfer occurs and a thermal boundary layer begins development along the pipe wall. Since the surface heat flux is constant, a thermally-developed flow condition is eventually reached downstream. For laminar flow, this thermal entry length may be expressed by F. P. Incropera, D. P. DeWitt, Fundamentals of Heat Transfer as: LE,T ≈ 0.05 RePr D = 0.143 cm = (1.4% of L ) where: D = 2R The mean temperature at any cross-section is defined by F. P. Incropera, D. P. DeWitt, Fundamentals of Heat Transfer as: Tm = 2 R ∫ VX(r ) T(r ) r dr VXm R2 0 (integrated in POST1) Applying conservation of energy, the heat input from the applied flux should balance the heat removed through fluid mass transport, or: q′′ A s = mCp (Tm,o − Tm,i ) where: As = wall surface area The outlet mean temperature is then: Tm,o = Tm,i + q′′ A s = 341.4 K mCp To determine the outlet wall tempera...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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