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Temperature distribution in an oscillatory flow with a sinusoidal wall temperature.

Author(s) : RAMOS E., STOREY B. D., SIERRA F., et al.

Type of article: Article

Summary

The temperature field generated by an oscillatory boundary layer flow in the presence of a wall with a sinusoidal temperature distribution was analysed. A linear perturbation method was used to find closed form analytical solutions for the temperature field when the amplitude of the velocity oscillation is small. The analytical solutions only consider long-term behaviour when the temperature fields oscillate with the frequency of the flow. The structure of the equation that governs the temperature correction due to convection is similar to that of diffusive waves with the solution consisting of travelling or standing waves. The temperature distribution was also solved numerically, which allows a description of the transient and periodic temperature fields. For short time intervals, the solution had similarities with the travelling waves, while for long time intervals the solution evolved towards a standing wave. As the amplitude of the solution increased, beyond the linear approximation, the temperature oscillation remained periodic, but more Fourier modes were incorporated. The authors found that in all cases, for long time intervals, time-averaged heat transfer from the boundary to the fluid was zero.

Details

  • Original title: Temperature distribution in an oscillatory flow with a sinusoidal wall temperature.
  • Record ID : 2005-0600
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 47 - n. 22
  • Publication date: 2004/10

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