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Abstract
A novel solution of the free convection boundary problem is represented in analytical form for velocity and temperature for an isothermal vertical plate, as an example. 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. The basic Navier-Stokes and Fourier-Kirchhoff equations and boundary conditions give links between coefficients and connected with free convection heat transfer phenomenon which define the analytical form of the solution as a function of the Grashof number only. In the solution the non zero velocity of a fluid flow through a leading edge of the plate is taken into account. The solution in the form of velocity and temperature profiles is numerically evaluated and illustrated for air.
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- Category:
- Articles
- Type:
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Published in:
-
TASK Quarterly
no. 18,
pages 167 - 185,
ISSN: 1428-6394 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Leble S., Lewandowski W.: Novel Analytic-Numerical Model of Free Convection: with Leading Edge Considered// TASK Quarterly. -Vol. 18., iss. 2 (2014), s.167-185
- Sources of funding:
-
- COST_FREE
- Verified by:
- Gdańsk University of Technology
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