An approximate solution to the graetz problem with axial conduction and prescribed wall heat flux |
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| Affiliation: | 1. MAHLE Behr GmbH & Co. KG, Mauserstr. 3, Stuttgart 70469, Germany;2. Dieffenbacher GmbH, Heilbronner Str. 20, 75031 Eppingen;3. Karlsruhe Institute of Technology, Institute for Thermal Process Engineering, Kaiserstr. 12, Karlsruhe 76131, Germany;1. Yale University, Mechanical Engineering Department, USA;2. KanomaxFMT, 4104 Hoffman Road, White Bear Lake, MN, 55110-3708, USA;1. Environmental and Climate Sciences Department, Brookhaven National Laboratory, Upton, New York 11973, USA;2. Aerosol Dynamics Inc., Berkeley, California 94710, USA;1. State Key Joint Laboratory of Environment Simulation and Pollution Control, School of Environment, Tsinghua University, Beijing 100084, China;2. Department of Mechanical and Nuclear Engineering, Virginia Commonwealth University, Richmond 23284, USA |
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| Abstract: | A finite integral transform technique is used to obtain an approximate solution to the Graetz problem with axial conduction and prescribed wall heat flux for an arbitrary velocity profile. Unlike the exact results of earlier works, this method requires minimal computational time yet compares excellently with the exact solutions for laminar flow of a Newtonian fluid for the entire range of Peclet numbers. |
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