Effect of curved anchor impellers on power consumption and hydrodynamic parameters of yield stress fluids (Bingham–Papanastasiou model) in stirred tanks

Author:

Alraddadi Ibrahim1,Yang Dezhi2,Katbar Nek Muhammad34,Benhanifia Kada5,Rahmani Lakhdar5,Mebarki Brahim5,Ameur Houari6,Jamshed Wasim78,Eid Mohamed R.910,Hussain Syed M.1,El Din Sayed M.11

Affiliation:

1. Department of Mathematics, Faculty of Science, Islamic University of Madinah , Madinah , 42351 , Saudi Arabia

2. College of Science, Qingdao University of Technology , Linyi 273400 , PR China

3. Mehran UET Shaheed Zulfiqar Ali Bhutto Campus , Khairpur , Pakistan

4. School of Mathematics and Statistics, Central South University , Changsha , 410083 , China

5. Laboratory of Energy in Arid Region (ENERGARID), Faculty of Science and Technology, University of Tahri Mohamed Bechar , P.O. Box 417 , Bechar 08000 , Algeria

6. Department of Technology, University Centre of Naama , P.O. Box 66 , Naama 45000 , Algeria

7. Department of Mathematics, Capital University of Science and Technology (CUST) , Islamabad , 44000 , Pakistan

8. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University , Nasiriyah 64001 , Iraq

9. Department of Mathematics, Faculty of Science, New Valley University , Al-Kharga , Al-Wadi Al-Gadid, 72511 Egypt

10. Finance and Insurance Department, College of Business Administration, Northern Border University , Arar , 1321 , Saudi Arabia

11. Center of Research, Faculty of Engineering, Future University in Egypt , New Cairo 11835 , Egypt

Abstract

Abstract This study introduces a three-dimensional numerical analysis of the mixing yield stress fluid inside stirred vessels. The Bingham–Papanastasiou model predicts the yield stress behavior of the working fluid. The implications of a new anchor impeller design are investigated; it involves certain modifications to a typical anchor impeller’s blade. Different curved shapes replace the straight blade of a classical anchor. The flow pattern and energy consumed inside the stirred system for various geometrical configurations, Reynolds numbers (0.1, 1, 10, and 100), and Bingham numbers (1, 10, 100, and 500) have been investigated. According to the findings, introducing this new geometrical configuration gives a significant acceleration of flow pattern and extension of the well-mixed zone, as well as decreased power consumption ( Np {\rm{Np}} ). Three configurations were introduced to the mixing system: Case 1 is a standard anchor impeller, and Cases 2 and 3 are curved anchor impellers with two shapes different. Case 3 (helical design of blade) has been found to be the less power consumption case by five times, i.e., for Case 1 and Case 2, Np = 5 {\rm{Np}}=5 , whereas for Case 3, Np = 1 {\rm{Np}}=1 . Based on the results, it is evident that the configuration (Case 3) demonstrates a superior geometric design in enhancing mixing characteristics compared to the other configurations.

Publisher

Walter de Gruyter GmbH

Subject

Condensed Matter Physics,General Materials Science

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