Skip to main content

Convection of Viscoplastic Fluid in U-Tube Bends

  • Conference paper
  • First Online:
Book cover Recent Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Viscoplastic fluids are found among both man-made and natural materials frequently. They are characterized by the presence of yield stress, which results in complex fluid rheology. During heat treatment, such materials undergo convection. The convection patterns are expected to be complex due to the presence of yield stress and delayed fluid movement. In this work, heat transfer and flow characteristics of viscoplastic fluid in a square duct with 180° sharp bend have been studied numerically. The duct is filled with viscoplastic fluid obeying Herschel–Bulkley model. The flow is assumed to be two dimensional, laminar and steady. Finite volume-based scheme is used to obtain the flow domain behavior. The effects of Reynolds number, input height to output height ratio (IOR), Yield number and power law index on the flow and heat transfer characteristics of the viscoplastic fluid have been investigated. Results are presented in terms of streamlines, isotherms and velocities under different heating conditions. Yielded and unyielded regions in the flow domain have been identified. It has been found that vortices are emanating near the sharp corner. A strong correlation of the size of vortices, reattachment length and heat flow with variable parameters has been obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Mochizukia S, Murataa A, Shibata R, Wang J (1999) Detailed measurements of local heat transfer coefficients in turbulent flow through smooth and rib-roughened serpentine passages with a 180° sharp bend. Int J Heat Mass Transf 42:1925–1934

    Google Scholar 

  2. Hirota M, Fujita H, Syuhada A, Araki S, Yoshida T, Tanaka T (1999) Heat/mass transfer characteristics in two-pass smooth channels with sharp 180-deg turn. Int J Heat Mass Transfer 42:3757–3770

    Article  Google Scholar 

  3. Chung YM, Tucker PG, Roychowdhury DG (2003) Unsteady laminar flow and convective heat transfer in a sharp 180 bend. Int J Heat Fluid Flow 24:67–76

    Google Scholar 

  4. Wang TS, Chyu MK (1994) Heat convection in a 180-deg turning duct with different turn configurations. J Thermophy Heat Transf 8:595–601

    Article  Google Scholar 

  5. Dhanasekaran TS, Wang T (2012) Numerical model validation and prediction of mist/steam cooling in a 180° bend tube. Int J Heat Mass Transf 55:3818–3828

    Google Scholar 

  6. Robson GR (1967) Thickness of Etnean lava. Nature 216:251–252

    Article  Google Scholar 

  7. Johnson AM (1970) Physical processes in geology. Freeman Cooper, San Francisco

    Google Scholar 

  8. Hulme G (1974) The interpretation of lava flow morphology. Geophys J R Astr Soc 39:361–383

    Article  Google Scholar 

  9. Bird RB, Dai GC, Yarusso BJ (1983) The rheology and flow of viscoplastic materials. Rev Chem Eng 1:1–70

    Article  Google Scholar 

  10. Ancey C (2007) Plasticity and geophysical flows. J Non-Newtonian Fluid Mech 142:4–35

    Article  Google Scholar 

  11. Coussot P (2014) Yield stress fluid flows: a review of experimental data. J Non-Newtonian Fluid Mech 211:31–49

    Google Scholar 

  12. Balmforth NJ, Frigaard IA, Ovarlez G (2014) Yielding to stress: recent developments in viscoplastic fluid mechanics. Annu Rev Fluid Mech 46:21–46

    Article  MathSciNet  Google Scholar 

  13. Mitsoulis E (2007) Flow of viscoplastic materials: model and computations. Rheol Rev 135:135–178

    Google Scholar 

  14. Taylor AJ, Wilson SDR (1997) Conduit flow of an incompressible. Yield-Stress Fluid J Rheol 41:93–101

    Google Scholar 

  15. Thong VP, Mitsoulis E (1998) Viscoplastic flows in ducts. The Can J Chem Eng 76:120–125

    Article  Google Scholar 

  16. Moyers-Gonzalez MA, Frigaard IA (2004) Numerical solution of duct flows of multiple visco-plastic fluids. J Non-Newtonian Fluid Mech 122:227–241

    Article  Google Scholar 

  17. Damianou Y, Kaoullas G, Georgiou GC (2016) Cessation of viscoplastic Poiseuille flow in a square duct with wall slip. J Non-Newtonian Fluid Mech 233:13–26

    Article  MathSciNet  Google Scholar 

  18. Muravleva EA, Muravleva LV (2009) Unsteady flows of a viscoplastic medium in channels. Mech Solids 44:792–812

    Article  Google Scholar 

  19. Vola D, Boscardin L, Latche JC (2003) Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results. J Comput Phys 187:441–456

    Article  MathSciNet  Google Scholar 

  20. Hassan MA, Pathak M, Khan MK (2013) Natural convection of viscoplastic fluids in a square enclosure. ASME J Heat Transf 135:122501

    Article  Google Scholar 

  21. Darbouli M (2013) Rayleigh-Bénard convection for viscoplastic fluids. Phys Fluids 25(2):023101

    Article  Google Scholar 

  22. Karimfazli I, Frigaard IA, Wachs A (2016) Thermal plumes in viscoplastic fluids: flow onset and development. J Fluid Mech 787:474–507

    Article  MathSciNet  Google Scholar 

  23. Peixinho J, Desaubry C, Lebouche M (2008) Heat transfer of a non-Newtonian fluid in transitional pipe flow. Int J Heat Mass Transf 51:198–209

    Article  Google Scholar 

  24. Forrest G, Wilkinson WL (1973) Laminar heat transfer to temperature-dependent Bingham fluids in tubes. Int J Heat Mass Transf 16:2377–2391

    Article  Google Scholar 

Download references

Acknowledgements

The corresponding author (M. A. Hassan) is thankful to SERB, Department of Science and Technology, Government of India for support grant vide File number ECR/2017/001003.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. A. Hassan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Khan, N.H., Paswan, M.K., Hassan, M.A. (2020). Convection of Viscoplastic Fluid in U-Tube Bends. In: Kumar, H., Jain, P. (eds) Recent Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1071-7_25

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-1071-7_25

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1070-0

  • Online ISBN: 978-981-15-1071-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics