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Cooling of a sphere by natural convection – the applicability of the lumped capacitance method (CROSBI ID 170614)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Virag, Zdravko ; Živić, Marija ; Krizmanić, Severino Cooling of a sphere by natural convection – the applicability of the lumped capacitance method // International journal of heat and mass transfer, 54 (2011), 11/12; 2303-2309. doi: 10.1016/j.ijheatmasstransfer.2011.02.034

Podaci o odgovornosti

Virag, Zdravko ; Živić, Marija ; Krizmanić, Severino

engleski

Cooling of a sphere by natural convection – the applicability of the lumped capacitance method

Two approaches to predicting the sphere cooling process by laminar natural convection were compared in terms of the accuracy of the volume averaged sphere temperature and the heat transfer rate between the sphere and the surrounding fluid. The first approach is based on the formulation of conjugate heat transfer (heat conduction in the sphere and laminar natural convection in the fluid). The second approach included the lumped capacitance method based on the assumption that the temperature in the sphere is spatially uniform and on the Churchill correlation function. The solution to the problem depends on the Rayleigh number (Ra), the Biot number (Bi), the Prandtl number (Pr), and the sphere-to-fluid thermal diffusivity ratio (A). The lumped capacitance method gives fairly accurate results with respect to the conjugate heat transfer method (discrepancy in the volume averaged sphere temperature less than 5%) when A*Bi/Ra**0.452<0.05 for Bi<0.15 and Pr>1.

sphere cooling; natural convection; lumped capacitance method

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Podaci o izdanju

54 (11/12)

2011.

2303-2309

objavljeno

0017-9310

10.1016/j.ijheatmasstransfer.2011.02.034

Povezanost rada

Strojarstvo

Poveznice
Indeksiranost