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Abstract
Theoretical considerations on convective heat transfer from isothermal upward conicalsurfaces have been presented. The physical model of this phenomenon consists of an isothermalcone of inclination angle (φ) between the cone generating line (X) and the radius (R) of the cone base. The angle is a parameter of conical surface which varied from (φ = 0−circular horizontal plate) to (φ = π/2—vertical cylinder) . Onthe basis of Navier–Stokes equations, assuming the parabolic temperature profile in the boundarylayer, the velocity profile tangent to the surface has been calculated. Introduction of the meanvelocity value in the boundary layer into the balance of energy and mass equations andcomparison with the Newton equation leads to the dependence describing the boundary layerthickness. Next the relation of Nusselt and Rayleigh numbers, including a function expressingthe influence of the inclination angle (φ) on the heat transfer process, has been derived.The obtained solution describes the natural convective heat transfer process for threecharacteristic cases of the conical surface. For the boundary cases φ = π/2 (vertical cylinder) and φ = 0 (circular upward facing horizontal plate), the solution describing convective heat transferintensity is For the case (0 < φ < π/2) (cones), the solution has the formwhere (Φ) is a function of the inclination angle (φ) of the generating line of theconical surface to the base of radius (R)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie z listy filadelfijskiej
- Published in:
-
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
no. 42,
pages 1895 - 1907,
ISSN: 0017-9310 - Language:
- English
- Publication year:
- 1999
- Bibliographic description:
- Lewandowski W., Szymański S., Kubski P., Klugmann-Radziemska E., Bieszk H., Wilczewski T.: Natural convective heat transfer from isothermalconic// INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. -Vol. 42., iss. 10 (1999), s.1895-1907
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/s0017-9310(98)00283-x
- Verified by:
- Gdańsk University of Technology
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