1 Introduction
Brauer and Sucker [1] dealt with the mass transfer in parallel laminar flow along a flat plate. From the numerical solutions to the complete set of differential equations for the concentration field, smoothed curves for average Sherwood numbers were derived. In view of the analogy between heat and mass transfer, these curves can also be applied to heat transfer. For Reynolds numbers Re < 100, they yield higher values of the Nusselt number than those calculated by Pohlhausen [2] and Kroujiline [3] from the boundary layer theory (cf. Eq. (2)). If Re > 100, the results obtained by both methods practically agree.
2 Parallel Flow Along a Flat Plate with Laminar Boundary Layer
The stream adjacent to the plate is retarded when a fluid of uniform velocity is flowing over a plate. If the leading edge of this plate is streamlined, a laminar boundary layer is formed outward from it. The thickness of the laminar boundary layer increases with increasing distance xfrom the leading...
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
7 Bibliography
Brauer HD, Sucker D (1976) Stoff- und Wärmeübergang an umströmten Platten, Zylindern und Kugeln. Chem Ing Techn. 48(9):737–741
Pohlhausen E (1921) Wärmeaustausch zwischen festen Körpern und Flüssigkeiten mit kleiner Reibung und kleiner Wärmeleitung. Z Angew Math Mech 1(2):115–121
Kroujiline G (1936) Investigation de la Couche –limite Thermique. Techn Phys USSR 3 183:311
Gauler K (1972) Wärme- und Stoffübertragung an eine mitbewegte Grenzfläche bei Grenzschichtströmung. Dr.-Ing. Diss, Universitaet Karlsruhe (TH), Germany
Presser KH (1968) Experimentelle Prüfung der Analogie zwischen konvektiver Wärme- und Stoffübertragung bei nichtabgelöster Strömung. Wärme- & Stoffübertragung. 1(4):225–236
Petukhov BS, Popov VN (1963) Theoretical calculation of heat exchange and frictional resistance in turbulent flow in tubes of incompressible fluid with variable physical properties. High Temperature 1(1):69–83
Schlichting, H. (1958) Grenzschicht-Theorie, 3rd edn. KarlsruheVerl.G. Braun,
Krischer O, Kast W (1978) Die wissenschaftlichen Grundlagen der Trocknungstechnik, 3rd ed. Springer, Berlin
Gnielinski V (1975) Berechnung mittlerer Wärme- und Stoffübergangskoeffizienten an laminar und turbulent überströmten Einzelkörpern mit Hilfe einer einheitlichen Gleichung. Forsch Ing Wes 41:145–150
Brauer H (1971) Stoffaustausch einschl. Chem Reaktion, Frankfurt/M, Verl. Sauerländer.Aarau,
Zukauskas AA, Ambrazyavichyus AB (1961) Heat transfer of a plate in a liquid flow. Int J Heat Mass Transf 3: 305–309
Churchill SW, Brier JC (1955) Convective heat transfer from a gas stream at high temperature to a circular cylinder normal to the flow. Chem Engng Progr Symp Ser 51(17):57–65
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag
About this entry
Cite this entry
Gnielinski, V. (2010). G4 Heat Transfer in Flow Past a Plane Wall. In: VDI Heat Atlas. VDI-Buch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77877-6_37
Download citation
DOI: https://doi.org/10.1007/978-3-540-77877-6_37
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77876-9
Online ISBN: 978-3-540-77877-6
eBook Packages: EngineeringReference Module Computer Science and Engineering