Growth of convective disturbances and heat transfer characteristics under sinusoidal heating from side

Subjects: Mechanics >> Other Disciplines of Mechanics submitted time 2024-05-07 Cooperative journals: 《应用力学学报》

NING Lizhong

Abstract：
In order to study the growth of convective disturbance and heat transfer characteristics of rectangular cavity with sinusoidal periodic heating, the hydrodynamic equations were numerically simulated.The results showed that with the increase of Grashof number Gr, the growth rate of maximum amplitude Amax of convective disturbance increases while the time of linear growth phase decreases. For a cavity with aspect ratio A=10 and a width d=2 cm and for the fluid with Prandtl number Pr=6.949, the empirical formula of the growth rate γm of convective disturbance varying with Graschof number is γm=9×10-8Gr1.234 3. For a cavity with A=10 and d=6 cm and for the fluid with Pr=0.703, the empirical formula of the growth rate γmvaring with Graschof number is γm=8×10-4Gr0.52. At Pr=0.027 2, the correlation between the average Nusselt numberNu^- of the hot wall and Graschof number isNu^-=0.000 02Gr1.17; at Pr=6.949,the correlation is Nu^-=0.000 24Gr1.05.The heat transfer capacity of the right wall increases with the increase of Graschof number.

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