Laminar flow heat transfer in the entrance region of circular tubes

✍ Scribed by Tien, Chi ;Pawelek, Richard A.

• Publisher: Springer
• Year: 1964
• Tongue: English
• Weight: 553 KB
• Volume: 13
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382058

✦ Synopsis

The asymptotic solution of laminar convective heat transfer in the entrance region of a circular conduit where velocity and temperature profiles are developing simultaneously, is obtained for fluids with high Prandtl numbers. Numerical values of local and average Nusselt numbers as functions of Pr and dimensionless longitudinal distances have been evaluated and presented in graphical forms. No~~enclature A 0, A 1 ... A ~ coefficients defined by (40) Bo, B1 ... B» coefficients defined by (39) Cp heat capacity of fluid Im(x) ~ i-nJù(ix) where Jn is the n TM order Bessel function k thermal conductivity of fluid Nu~ local Nusselt number defined by (41) Nuav average Nusselt number defined by (44) P pressure Pr Prandtl numbër of fluid defined as C~#/k q heat flux Re Reynold number, defined as ÜPR/# R radius of pipe r radial distance r + dimensionless radial distance defined by (8) T temperature of fluid To initial temperature of fIuid Tw wall temperature T+ dimensionless temperature defined by (11) To +, Tl+ .... Tk+ ... functions related to T+ by (22)