Novel analytic-numerical model of free convection: with leading edge considered

• Autorzy: Leble S. , Lewandowski W. M.
• Języki publikacji: EN

Abstrakty

EN

A novel solution of the free convection boundary problem is represent ed in analytical form for velocity and temperature for an isothermal vertical plate, as an examp le. These fields are built as a Taylor Series in the x coordinate with coefficients as functions of the vertical coordinate ( y ). We restrict ourselves by cubic approximation for both functions. T he basic Navier-Stokes and Fourier-Kirchhoff equations and boundary conditions give links between coefficients and connected with free convection heat transfer phenomen on which define the analytical form of the solution as a function of the Grashof number only. In t he solution the non zero velocity of a fluid flow through a leading edge of the plate is take n into account. The solution in the form of velocity and temperature profiles is numerically evaluated and illustrated for air.

Słowa kluczowe

EN

Navier-Stokes equations; Fourier-Kirchhoff equations; free convection; heat transfer; isothermal surface; boundary layer; vertical plate; leading edge

PL

Równania Naviera-Stokesa; równanie Fouriera-Kirchhoffa; przenikanie ciepła; izoterma powierzchni; warstwa graniczna; płyty pionowe

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2014
• Tom: Vol. 18, No 2
• Strony: 167--185
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr.

Twórcy

autor

Leble S.

• Department of Atomic, Molecular and Optical Physics Gdansk University of Technology Narutowicza 11/12, 80-223 Gdansk, Poland

autor

Lewandowski W. M.

• Department of Atomic, Molecular and Optical Physics Gdansk University of Technology Narutowicza 11/12, 80-223 Gdansk, Poland

Bibliografia

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• [15] Leble S and Lewandowski W M 2012, arXiv:1210.5529v1 [physics.flu-dyn]
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