On free convection heat transfer from vertical plate - proposition of a new model

• Autorzy: Leble S. , Lewandowski W. M.

Identyfikatory

DOI

10.17466/TQ2016/20.2/X

• Języki publikacji: EN

Abstrakty

EN

The free convection heat transfer from an isothermal vertical plate in open space is investigated theoretically. In contrast to conventional approaches we use neither boundary layer nor self-similarity concepts. We base on expansion of the fields of velocity and temperature in a Taylor Series in x coordinate with coefficients being functions of the vertical coordinate (y). In the minimal version of the theory we restrict ourselves by cubic approximation for both functions. The Navier-Stokes and Fourier-Kirchhoff equations that describe the phenomenon give links between coefficient functions of y that after exclusion leads to the ordinary differential equation of forth order (of the Mittag-Leffleur type). Such construction implies four boundary conditions for a solution of this equation while the links between the coefficients need two extra conditions. All the conditions are chosen on the basis of the experience usual for free convection. The choice allows us to express all the theory parameters as functions of the Rayleigh number and the temperature difference. To support the conformity of the theory we derive the Nusselt-Rayleigh numbers relation that has the traditional form. The solution in the form of velocity and temperature profiles is evaluated and illustrated for air by examples of plots of data.

Słowa kluczowe

EN

Navier-Stokes equations; Fourier-Kirchhoff equation; free convective heat transfer; analytical solution; sothermal surface; boundary layer; vertical plate

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2016
• Tom: Vol. 20, No 2
• Strony: 249--265
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Leble S.

• Department of Atomic, Molecular and Optical Physics Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland
• Institute of Applied Physics Immanuel Kant Baltic Federal University Al. Nevsky 14, Kaliningrad, Russia

autor

Lewandowski W. M.

• Department of Chemical Apparatus and Machinery Faculty of Chemistry, Gdansk University of Technology Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę