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Turbulent Heat and Fluid Flow over a Two-Dimensional Hill

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Abstract

Experimental investigation has been made on the flow and thermal fields over a heated two-dimensional hill with a cosine-squared shape. The detailed turbulent characteristics are measured by a backscatter-type two-component LDV, a PIV system, a fine thermocouple and a cold-wire probe. In the reverse-flow region on the leeward side of the hill, the turbulence intensities and the Reynolds shear stress show much larger values than in a canonical wall-bounded shear flow. The mean temperature maintains a relatively high value below the location where the horizontal mean velocity rapidly decreases. At the outer edge of the reverse-flow region, there exists a second maximum intensity of temperature fluctuations. The instantaneous temperature waveforms near the heated surface show very large amplitude consisting of high-frequency fluctuations superimposed on the low-frequency motions. Simultaneous measurement of velocity and temperature is also done using a combination of a two-component LDV and a fine-wire thermocouple together with digital response compensation. In the downstream region of the hill, the horizontal and vertical turbulent heat fluxes become maximum at the hill-top height, and tend to diffuse in the vertical direction. On the other hand, in the reverse-flow region formed behind the hill, both of the heat fluxes decrease remarkably. In particular, it is worth noting that the horizontal turbulent heat flux near the surface becomes opposite in sign to that in the forward flow region. This is mainly due to the reversal of the mean flow direction.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, 466-8555, Japan

    T. Houra & Y. Nagano

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  1. T. Houra
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  2. Y. Nagano
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Correspondence to T. Houra.

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This work was supported by grant-in-aid for scientific research (S) (No. 17106003) from the Japan Society for the Promotion of Science (JSPS).

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Houra, T., Nagano, Y. Turbulent Heat and Fluid Flow over a Two-Dimensional Hill. Flow Turbulence Combust 83, 389–406 (2009). https://doi.org/10.1007/s10494-009-9227-x

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