Numerical simulation of steady flow fields in coiled flow inverter

Abstract Flatter velocity profiles and more uniform thermal environments are extremely desirous factors for improved performance in flow reactors and heat exchangers. One means of achieving it in laminar flow systems is to use mixers and flow inverters. In the present study a new device is introduced based on the flow inversion by changing the direction of centrifugal force in helically coiled tubes. The objective of the present study is to characterize flow development and temperature fields in the proposed device made up from the configurations of bent coils. The main mechanism generating the flow is the production of spatially chaotic path by changing the direction of flow using a 90° bend in helical coils (alternating Dean flow). If the direction of centrifugal force is rotated by any angle, the plane of vortex formation also rotates with the same angle. Thus in helical flow a 90° shift in the direction of centrifugal force cause a complete flow inversion. Complete flow fields and thermal fields in helical coil and bent coil configuration were studied using computational fluid dynamics software (FLUENT 6.0). The three-dimensional governing equations for momentum and energy under the laminar flow conditions were solved with a control-volume finite difference method (CVFDM) with second-order accuracy. The flow pattern obtained for the helical coil was in good agreement to those observed by the previous investigators [S.W. Jones, O.M. Thomas, H. Aref, Chaotic advection by laminar flow in twisted pipe. J. Fluid Mech. 209 (1989) 335–357; Ch. Duchene, H. Peerhossaini, P.J. Michard, On the velocity field and tracer patterns in a twisted duct flow. Phys. Fluids 7 (1995) 1307–1317]. The comparison of the flow fields and temperature fields in the helical tube and bent coil configuration are discussed. The bent coil configuration shows a 20–30% enhancement in the heat transfer due to chaotic mixing while relative pressure drop is 5–6%. The results of the present study can be used to model transport processes for developing flows in curved tubes such as chromatographic columns (less axial dispersion [A.K. Saxena, K.D.P. Nigam, Coiled configuration for flow inversion and its effect on residence time distribution. AIChE J. 30 (1984) 363–368]), Chemical reactors (narrower RTD), heat transfer devices, and some biomedical devices.

[1]  H. Peerhossaini,et al.  Effect of Curvature Plane Orientation on Vortex Distortion in Curved Channel Flow , 1992 .

[2]  H. Aref Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[3]  Krishna D.P. Nigam,et al.  Coiled configuration for flow inversion and its effect on residence time distribution , 1984 .

[4]  H. Peerhossaini,et al.  On the velocity field and tracer patterns in a twisted duct flow , 1995 .

[5]  W. R. Dean LXXII. The stream-line motion of fluid in a curved pipe (Second paper) , 1928 .

[6]  Hassan Peerhossaini,et al.  Heat exchanger design based on chaotic advection , 1993 .

[7]  R. Shah,et al.  Handbook of single-phase convective heat transfer , 1987 .

[8]  Hassan Peerhossaini,et al.  A thermal model for prediction of the Nusselt number in a pipe with chaotic flow , 2002 .

[9]  Hassan Aref,et al.  Chaotic advection by laminar flow in a twisted pipe , 1989, Journal of Fluid Mechanics.

[10]  Hassan Peerhossaini,et al.  Chaotic heat transfer for heat exchanger design and comparison with a regular regime for a large range of Reynolds numbers , 2000 .

[11]  Hassan Peerhossaini,et al.  Residence time distribution in twisted pipe flows: helically coiled system and chaotic system , 1997 .

[12]  Mihir Sen,et al.  Heat transfer enhancement in coiled tubes by chaotic mixing , 1992 .

[13]  Hassan Peerhossaini,et al.  The effects of chaotic advection on heat transfer , 1997 .

[14]  C. Castelain,et al.  Mesure du chaos dans les systèmes conservatifs en vue de l'étude des transferts dans les systèmes ouverts , 1998 .

[15]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[16]  Hassan Peerhossaini,et al.  Experimental and numerical characterisation of mixing in a steady spatially chaotic flow by means of residence time distribution measurements , 2000 .

[17]  H. Peerhossaini,et al.  Experimental study of chaotic advection regime in a twisted duct flow , 2001 .

[18]  F. Hayot,et al.  Ordered and Turbulent Patterns in Taylor-Couette Flow , 1992 .

[19]  H. Peerhossaini,et al.  ORDER BREAKING IN DEAN FLOW , 1991 .

[20]  W. R. Dean,et al.  Note on the motion of fluid in a curved pipe , 1959 .

[21]  W. R. Dean XVI. Note on the motion of fluid in a curved pipe , 1927 .

[22]  Stuart W. Churchill,et al.  FULLY DEVELOPED LAMINAR FLOW IN A HELICALLY COILED TUBE OF FINITE PITCH , 1980 .

[23]  L. Talbot,et al.  Flow in Curved Pipes , 1983 .