THERMAL SCIENCE
International Scientific Journal
FLOW CHARACTERISTICS ANALYSIS OF A TWO-PHASE SUSPENSION BETWEEN ROTATING POROUS CYLINDERS WITH RADIAL AND AXIAL FLOWS
ABSTRACT
The flow characteristics problem of the two-phase suspension in the design of filters is presented, and the hydrodynamic stability is carried out to study the flow characteristics of a two-phase suspension between a rotating porous inner cylinder and a concentric, stationary, porous outer cylinder when radial flow and axial flow are present. Linear stability analysis results in an eigenvalue problem that is solved numerically by Wan's method. The results reveal that the critical Taylor number for the onset of instability is altered by other parameters. For given correlation parameters, increasing the axial Reynolds number increases the critical Taylor number for transition very slightly, the critical Taylor number decreases as the axial Reynolds number becomes negative.
KEYWORDS
PAPER SUBMITTED: 2017-03-23
PAPER REVISED: 2017-09-24
PAPER ACCEPTED: 2017-09-24
PUBLISHED ONLINE: 2018-09-10
THERMAL SCIENCE YEAR
2018, VOLUME
22, ISSUE
Issue 4, PAGES [1857 - 1864]
- Taylor, G. I., Stability of A Viscous Liquid Contained Between Two Rotating Cylinders, Philos. Trans.R. Soc. London, Ser. A, 1 (1923), Jan., pp. 223-289
- Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford, UK, 1961
- Kataoka, K., Taylor Vortices and Instabilities In Circular Couette Flows, in: Encyclopedia of Fluid Me-chanics (Ed. N. P. Cheremisinoff), Gulf, Houston, Tex., USA, 1986, pp. 236-274
- Kaye, J., et al., Modes of Adiabatic and Diabatic Fluid Flow in an Annulus with an Inner Rotating Cyl-inder, Trans. ASME 80 (1958), pp. 753-765
- Chandrasekhar, S., The Hydrodynamic Stability of Viscid Flow between Coaxial Cylinders, Proc. Natl. A cad. Sci. U.S.A. 46 (1960), 1, pp. 141-143
- DiPrima, R. C., The Stability of a Viscous Fluid between Rotating Cylinders with an Axial Flow, J. Flu-id Mesh, 9 (1960), 4, pp. 621-631
- Bahl, S. K., Stability of Viscous Flow between Two Concentric Rotating Porous Cylinders, Def. Sci. J., 25 (2014), 4, pp. 139-144
- Buhler, K., Taylor Vortex Flow with Superimposed Radial Mass Flux, in Ordered and Turbulent Pat-terns in Taylor-Couette Flow, 297 (1992), pp. 197-203
- Khayat, R. E., Onset of Taylor Vortices and Chaos in Viscoelastic Fluids, Phys. Fluid, 7 (1995), 9, pp. 2191-2219
- Yi, M. K., et al., Experimental Studies on the Taylor Instability of Dilute Polymer Solutions, J. Non-Newtonian Fluid Mesh, 72 (1997), 2-3, pp. 113-139
- Min, K., et al., Hydrodynamic Stability of Viscous Flow between Rotating Porous Cylinders with Radial Flow, Phys. Fluids, 6 (1994), 1, pp. 144-161
- Johnson, E. C., et al., Hydrodynamic Stability of Flow between Rotating Porous Cylinders with Radial and Axial Flow, Phys. Fluids, 9 (1997), 12, pp. 3687-3696
- Ali, M. E., et al., Hydrodynamic Stability of a Suspension in Cylindrical Couette Flow, Phys. Fluids, 14 (2002), 3, pp. 1253-1254
- Lin, J., et al., Stability in Channel Flow with Fiber Suspensions, Progress in Natural Science, 13 (2003), 2, pp. 95-99
- You, Z., et al, Stability and Drag Reduction in Transient Channel Flow of Fiber Suspensions, Chinese Journal of Chemical Engineering, 12 (2004), 3, pp. 319-323
- You, Z., et al., Effects of Tensor Closure Models and 3-D Orientation on the Stability of Fiber Suspen-sions in a Channel Flow, Applied Mathematics and Mechanics, 26 (2005), 3, pp. 307-312
- You, Z., et al., Stability in the Circular Pipe Flow of Fiber Suspensions, Journal of Hydrodynamics, Ser. B, 15 (2003), 2, pp. 12-18
- Wan, Z., et al, Research on the Specific Viscosity of Semi-Concentrated Fiber Suspensions, Modern Physics Letters B, 22 (2008), 29, pp. 2857-2868
- Wan, Z., et al., The Effects of Closure Model of Fiber Orientation Tensor on the Instability of Fiber Suspensions in the Taylor-Couette Flow, Modern Physics Letters B, 21 (2007), 24, pp. 1611-1625
- Wan, Z., et al., Dynamic Stability of Non-Dilute Fiber Shear Suspensions, Thermal Science, 16 (2012), 5, pp. 1551-1555