Abstract
The traditional method for improving the transport characteristics of flow inside microtube is attained by introducing swirling velocity at the entrance. Enhancing the fluid movement within such microtubes is crucial for applications demanding heat transfer or fluid mixing due to its laminar characteristics. In this present study, the laminar flow with swirl decay in a straight circular microtube is obtained analytically by considering axial wall slip. Rankine vortex in combination with axial slug velocity profile is considered for mathematical formulation. It is found that the analytical solution is a function of Reynolds number, transition radius, slip length, and the axial distance along the flow direction. In order to build swirl flow devices, present results provide the analytical formulae to evaluate the distribution of swirl velocity having axial wall slip. For flows when swirl and slip effects interact, a definite increase in average path travelled by the fluid is realised. We believe that the current work will be helpful in designing and improving the transport characteristics in circular microtubes.
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Abbreviations
- L:
-
Characteristic length [m]
- R:
-
Pipe radius [m]
- r:
-
Dimensionless radius –
- θ:
-
Circumferential coordinate –
- ρ:
-
Density of fluid [kg/m3]
- µ:
-
Dynamic viscosity [kg/m/s]
- uav:
-
Average axial velocity [m/s]
- rt:
-
Dimensionless transition radius –
- Z:
-
Dimensionless axial coordinate –
- U:
-
Dimensionless axial velocity –
- W:
-
Dimensionless swirl velocity –
- Re:
-
Reynolds number –
- S:
-
Swirl number –
References
Dewan A, Mahanta P, Raju KS, Kumar PS (2004) Review of passive heat transfer augmentation techniques. Proc Inst Mech Eng Part A J Power Energy 218:509
Kaushik P, Pati S, Som SK, Chakraborty S (2012) Hydrodynamic and thermal transport characteristics of swirling flows through microchannels with interfacial slip. Int J Heat Mass Transf 55:4359
Sheikholeslami M, Gorji-Bandpy M, Ganji DD (2015) Review of heat transfer enhancement methods: focus on passive methods using swirl flow devices. Renew Sustain Energy Rev 49:444
Lefebvre A (1988) Atomization and Sprays, Taylor Fr
Talbot L (1954) Laminar swirling pipe flow. J Appl Mech 21:1
Kreith F, Sonju OK (1965) The decay of a turbulent swirl in a pipe. J Fluid Mech 22:257
Taub GN, Lee H, Balachandar S, Sherif SA (2011) A study of similarity solutions for laminar swirling axisymmetric flows with both buoyancy and initial momentum flux. Phys Fluids 23:113601
Kiya M, Fukusako S, Arif M (1971) Laminar swirling flow in the entrance region of a circular pipe. Bull JSME 14:659
Kitoh O (1991) Experimental study of turbulent swirling flow in a straight pipe. J Fluid Mech 225:445
Ayinde TF (2010) A generalized relationship for swirl decay in laminar pipe flow. Sadhana 35:129
Yao S, Fang T (2012) Analytical solutions of laminar swirl decay in a straight pipe. Commun Nonlinear Sci Numer Simul 17:3235
Pati S, Som SK, Chakraborty S (2013) Thermodynamic performance of microscale swirling flows with interfacial slip. Int J Heat Mass Transf 57:397
Reader-Harris MJ (1994) The decay of swirl in a pipe. Int J Heat Fluid Flow 15:212
Tretheway DC, Meinhart CD (2006) Erratum: A generating mechanism for apparent fluid slip in hydrophobic microchannels. [Phys Fluids 16:1509 (2004)], Phys Fluids 18:109901 (2006)
Acknowledgements
Authors would like to acknowledge Mr Giridhar R, research scholars of Mechanical Engineering Department, Indian Institute of Technology Guwahati, for his valuable suggestion during drafting the paper. The authors also wish to thank Dr. P. Kaushik (Department of Mechanical Engineering, NIT Tiruchirappalli) for their significant inputs and valuable suggestions.
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Kumar, D., Mondal, P.K. (2024). Influence of Axial Wall Slip on Swirl Velocity in a Laminar Microtube Flow. In: Singh, K.M., Dutta, S., Subudhi, S., Singh, N.K. (eds) Fluid Mechanics and Fluid Power, Volume 6. FMFP 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5755-2_34
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DOI: https://doi.org/10.1007/978-981-99-5755-2_34
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