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Fractal analysis of Herschel-Bulkley fluid flow in a capillary

Yun Mei-Juan Zheng Wei Li Yun-Bao Li Yu

Fractal analysis of Herschel-Bulkley fluid flow in a capillary

Yun Mei-Juan, Zheng Wei, Li Yun-Bao, Li Yu
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  • Abstract views:  2058
  • PDF Downloads:  557
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Publishing process
  • Received Date:  15 August 2011
  • Accepted Date:  08 January 2012
  • Published Online:  05 August 2012

Fractal analysis of Herschel-Bulkley fluid flow in a capillary

  • 1. Key Laboratory of Systems Science in Metallurgical Process of Hubei Province, Wuhan University of Science and Technology, Wuhan 430081, China;
  • 2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China;
  • 3. State Key Laboratory of Geodesy and Earth's Dynamics, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China
Fund Project:  Project supported by the Foundation of State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, China (Grant No. PRP/open-1206), the Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, China (Grant No. PLN1113), the Foundation of Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, the National Natural Science Foundation of China (Grant No. 41102080), and the Open Fund of Research Center of Green Manufacturing and Energy-Saving and Emission Reduction Technology in Wuhan University of Science and Technology, China (Grant No. B1219).

Abstract: A fractal model for Herschel-Bulkley fluid in a capillary is proposed based on the fractal theory. The proposed model relates flow rate, velocity, starting pressure gradient and effective permeability to the rheological characteristics of fluid and the structural parameters of capillary, and all parameters in the proposed expressions have clear physical meanings. The analytical expressions reveal the physical principle for Herschel-Bulkley fluid flow in a capillary.

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