Numerical Study of Laminar Fully Developed Non-Newtonian Liquid Flow in Rough Circular Microchannel

• Authors: Manish Vashishtha , Jay Thakkar
• Languages of publication: EN

Abstracts

EN

The present study aims to unveil the characteristics of fully developed laminar, incompressible, pressure driven non-Newtonian liquid flow in rough circular microchannels. In the present analysis Gaussian isotropic roughness distribution in circular microchannel is considered. The effect of varying surface wall roughness and flow behavior index has been studied numerically for both the pseudo plastic and dilatant fluids. It is found out that while increasing the relative roughness for a particular flow behavior index, the frictional resistance to flow in the microchannel increases and the effect is more pronounced in the case of pseudo plastic fluids. In the case of a pseudo plastic liquid flow for a constant relative surface wall roughness, on decreasing the value of flow behavior index below 1, the frictional resistance to the flow in the channel increases. While in the case of dilatant fluids with increasing the value of flow behavior index from 1 and above for a constant relative surface wall roughness the frictional resistance to the flow in the channel decreases.

Keywords

EN

Power law; non-Newtonian fluid; roughness; microchannel

• Publisher: De Gruyter Open
• Journal: Polish Journal of Chemical Technology
• Year: 2013
• Volume: 15
• Issue: 1
• Pages: 30-37

Dates

published

1 - 03 - 2013

online

27 - 03 - 2013

Contributors

author

Manish Vashishtha

• Malaviya National Institute of Technology, Department of Chemical Engineering, JLN Marg, Jaipur -302017, India

author

Jay Thakkar

• Malaviya National Institute of Technology, Department of Chemical Engineering, JLN Marg, Jaipur -302017, India

References

• 1. Obot, N.T. (2002). Toward a better understanding of friction and heat/mass transfer in microchannels - a literature review. Microscale Thermophysical Engineering. 6 (3), 155-173. DOI: 10.1080/10893950290053295.[Crossref]
• 2. Tuckerman, D.B. & Pease, R.F.W. (1981). High-performance heat sinking for VLSI. IEEE Electron Device Letters. 2 (5), 126-129. DOI: 10.1109/EDL.1981.25367.[Crossref]
• 3. Urbanek, W., Zemel, J.N. & Bau, H.H. (1993). An investigation of the temperature dependence of Poiseuille numbers in microchannel flow. J. of Micromechanics and Microengineering. 3 (4), 206-208. DOI: 10.1088/0960-1317/3/4/009.[Crossref]
• 4. Mala, G.M. & Li, D. (1999). Flow characteristics of water in microtubes. Int. J. of Heat and Fluid Flow. 20 (2), 142-148. DOI: 10.1016/S0142-727X(98)10043-7.[Crossref]
• 5. Celata, G.P., Cumo, M., Guglielmi, M. & Zummo, G. (2002). Experimental investigation of hydraulic and single phase heat transfer in 0.130 mm capillary tube. Microscale Thermophysical Engineering. 6 (2), 85-97. DOI: 10.1080/1089395029005323 1.[WoS]
• 6. Brutin, D. & Tadrist, L. (2003). Experimental friction factor of a liquid flow in microtubes. Physics of Fluids. 15 (3), 653-661. DOI: 10.1063/1.1538612.[Crossref]
• 7. Li, Z.X., Du, D.X. & Guo, Z.Y. (2003). Experimental study on flow characteristics of liquids in circular microtubes. Microscale Thermophysical Engineering. 7 (3), 253-265. DOI: 10.1080/10893950390219083.[Crossref]
• 8. Phares, D.J. & Smedley, G.T. (2004). A study of laminar flow of polar liquids through circular microtubes. Physics of Fluids. 16 (5), 1267-1272. DOI: 10.1063/1.1691395.[Crossref]
• 9. Kandlikar, S.G., Joshi, S. & Tian, S. (2003). Effect of Surface Roughness on Heat Transfer and Fluid Flow Characteristics at low Reynolds Number in Small Diameter Tubes. Heat Transfer Engineering. 24 (3), 4-16. DOI: 10.1080/01457630390149260.[Crossref]
• 10. Tang, G.H., Li, Z., He, V. & Tao, W.Q. (2007). Experimental Study of Compressibility, Roughness and Rarefaction Influences on Microchannel Flow. Int. J. of Heat and Mass Transfer. 50 (11-12), 2282-2295. DOI: 10.1016/j.ijheatmasstransfer.2006.10.034.[Crossref]
• 11. Ghajar, A.J., Tang, C.C. & Cook, W.L. (2010). Experimental Investigation of Friction Factor in the Transition Region for Water Flow in Minitubes and Microtubes. Heat Transfer Engineering. 31 (8), 646-657. DOI: 10.1080/01457630903466613.[Crossref]
• 12. Engin, T., Dogruer, U., Evrensel, C., Heavin, S. & Gordaninejad, F. (2004). Effect of Wall Roughness on Laminar Flow of Bingham Plastic Fluids through Microtubes. ASME J. of Fluids Engineering. 126, 880-883. DOI: 10.1115/1.1792252.[Crossref]
• 13. Bahrami, M., Yovanovich, M.M. & Culham, J.R. (2005). Pressure Drop of Fully Developed, Laminar Flow in Rough Microtubes, Proceedings of MICROMINI, ASME 3rd International Conference on Microchannels and Minichannels, 13-15 June 2005 (pp. 259-268).Toronto, Ontorio, Canada. DOI: 10.1115/ICMM200-75108.[Crossref]
• 14. Tang, G.H., Lu, Y.B., Zhang, S.X., Wang, F.F. & Tao, W.Q. (2012). Experimental investigation of non- -Newtonian liquid fluid flow in microchannels. J. of Non-Newtonian Fluid Mechanics. 173-174, 21-29. DOI: 10.1016/j.jnnfm.2012.02.001.[Crossref]
• 15. McCabe, W.L., Smith, J.C. & Harriott, P. (1993). Unit Operations of Chemical Engineering (5th ed.). Chemical And Petroleum Engineering Series, McGraw-Hill International Editions.

Identifiers

DOI

10.2478/pjct-2013-0007