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- Title
Flow of non-Newtonian fluids in converging-diverging rigid tubes.
- Authors
Sochi, Taha
- Abstract
A residual-based lubrication method is used to find the flow rate and pressure field in converging-diverging rigid tubes for the flow of time-independent category of non-Newtonian fluids. Five converging-diverging prototype geometries were used in this investigation in conjunction with two fluid models: Ellis and Herschel-Bulkley. The method was validated by convergence behavior sensibility tests, convergence to analytical solutions for the straight tubes as special cases for the converging-diverging tubes, convergence to analytical solutions found earlier for the flow in converging-diverging tubes of Newtonian fluids as special cases for non-Newtonian, and convergence to analytical solutions found earlier for the flow of power-law fluids in converging-diverging tubes. A brief investigation was also conducted on a sample of diverging-converging geometries. The method can in principle be extended to the flow of viscoelastic and thixotropic/rheopectic fluid categories. The method can also be extended to geometries varying in size and shape in the flow direction, other than the perfect cylindrically-symmetric converging-diverging ones, as long as characteristic flow relations correlating the flow rate to the pressure drop on the discretized elements of the lubrication approximation can be found. These relations can be analytical, empirical and even numerical and hence the method has a wide applicability range. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.
- Subjects
NON-Newtonian fluids; CONTINUOUS geometries; ANALYTICAL solutions; THIXOTROPIC gels; PRESSURE drop (Fluid dynamics)
- Publication
Asia-Pacific Journal of Chemical Engineering, 2015, Vol 10, Issue 3, p387
- ISSN
1932-2135
- Publication type
Article
- DOI
10.1002/apj.1882