Experimental study on the constitutive relation of granular flow
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摘要: 基于"擬流體"的思想,給出了測量顆粒流本構關系的實驗方法.在顆粒斜槽流實驗中,通過顆粒的拋物線運動計算流層速度分布,根據非牛頓流體理論求得顆粒流黏性的本構關系;建立了顆粒斜槽流的數學模型,流層的速度為指數分布,流量為斜槽傾角和流層厚度的函數.以小麥顆粒為例,實驗結果與用"擬流體"方法所得的預測值進行比較,相對誤差在13%以內.Abstract: An experimental method for measuring the constitutive relation of granular flow was presented. Granular chute flow was described as a non-Newton fluid, and its constitutive relation was computed on the base of the velocity distribution calculated by the throwing motion of granules when being out of a chute. A model of granular chute flow was employed, which indicates that the velocity obeys exponential distribution and the flow rate is a function of chute angle and flow thickness. From the theoretical analysis of wheat granule chute flow by using the constitutive relation from experiment, the relative error of the predicted volume flow rate is less than 13% compared with experimental data.
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Key words:
- granular flow /
- constitutive relation /
- pseudo-fluid /
- chute
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