Effect of velocity and rheology of nanofluid on heat transfer of laminar vibrational flow through a pipe under constant heat flux
Abstract
Abstract
Transverse vibration creates strong vorticity to the plane perpendicular to flow direction which leads to the radial mixing of fluid and, therefore, the results of heat transfer are significantly improved. Comparative studies of effects on heat transfer were investigated through a well-valid CFD model. Water and water-based nanofluid were selected as working substances, flowing through a pipe subjected to superimposed vibration applied to the wall. To capture the vibration effect in all aspects; simulations were performed for various parameters such as Reynolds number, solid particle diameter, volume fraction of nanofluid, vibration frequency, and amplitude. Temperature, solid particle diameter and volume fraction-dependent viscosity have been considered; whereas, the thermal conductivity of nanofluid has been defined to the function of temperature, particle diameter and Brownian motion. Due to transverse vibrations, the thermal boundary layer is rapidly ruined. It increases the temperature in the axial direction for low Reynolds number flow that results in high heat transfer. As the Reynolds number increases, vibration effect is reduced for pure liquid, while there is noticeable increase for nanofluid. The rate of increment of heat transfer by varying volume fraction and particle diameter shows the usual feature as nanofluid under steady-state flow, but when subjected to vibration is much higher than pure liquid. As the frequency increases, the vibration effects are significantly reduced, and in amplitude they are profounder than frequency. The largest increase of about 540% was observed under the condition of vibrational flow compared to a steady-state flow.
Keywords
- CFD,
- Volume fraction,
- Nanoparticle,
- Vibration,
- Heat enhancement
References
- Almohammadi et al. (2012) Experimental investigation of convective heat transfer and pressure drop of alumina-water nanofluid in laminor flow regime inside circular tube 6(8) (pp. 1750-1755)
- ANSYS CFX-solver modeling guide. (2018). ANSYS, Inc.
- ANSYS ICEM-CFD user manual. (2018). ANSYS, Inc.
- Barth, T. J., & Jesperson, D. C. (1989). The design and application of upwind schemes on unstructured meshes. (pp. 1-12). In: Reno, Nevada: AIAA-89-0366 27th Aerospace Sciences Meeting.
- https://doi.org/10.2514/6.1989-366
- Biswas et al. (2017) Effects of periodic magnetic field on 2d transient optically dense gray nanofluid over a vertical plate: a computational EFDM study with SCA (pp. 1122-1129) https://doi.org/10.1166/jon.2018.1434
- Chen et al. (2013) The influence of horizontal longitudinal vibrations and the condensation section temperature on heat transfer performance of heat pipe 34(1) (pp. 45-53) https://doi.org/10.1080/01457632.2013.694776
- Choi, S., & Eastman, J. Enhancing thermal conductivity of fluids with nanoparticles, vol. 231, pp. 1–7. San Francisco CA: ASME International Mechanical Engineering Congress & Exposition (1995)
- Chou et al. (2005) Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement 87(15) (pp. 153107(1)-153107(3)) https://doi.org/10.1063/1.2093936
- Corcione (2011) Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids 52(1) (pp. 789-793) https://doi.org/10.1016/j.enconman.2010.06.072
- Davarnejad et al. (2013) CFD simulation of the effect of particle size on the nanofluids convective heat transfer in the developed region in a circular tube (pp. 1-6) https://doi.org/10.1186/2193-1801-2-192
- Deshpande and Barigou (2001) Vibrational flow of non-newtonian fluids 56(12) (pp. 3845-3853) https://doi.org/10.1016/S0009-2509(01)00059-8
- Easa and Barigou (2010) Enhancing radial temperature uniformity and boundary layer development in viscous Newtonian and non-Newtonian flow by transverse oscillations: a CFD study 65(6) (pp. 2199-2212) https://doi.org/10.1016/j.ces.2009.12.022
- Easa and Barigou (2011) CFD simulation of transverse vibration effects on radial temperature profile and thermal entrance length in laminar flow 57(1) (pp. 51-56) https://doi.org/10.1002/aic.12243
- Fox et al. (2004) Wiley
- Jiyuan et al. (2015) Eslevier
- Klaczak (1997) Report from experiments on heat transfer by forced vibrations of exchangers 32(6) (pp. 477-480) https://doi.org/10.1007/s002310050148
- Kwant et al. (1973) Non-isothermal laminar pipe flow—II. Experimental 28(6) (pp. 1317-1330) https://doi.org/10.1016/0009-2509(73)80083-1
- Lee and Chang (2003) The effect of vibration on critical heat flux in a vertical round tube 40(10) (pp. 734-743) https://doi.org/10.1080/18811248.2003.9715414
- Lyche and Bird (1956) The Graetz-Nusselt problem for a power-law non-newtonian fluid 6(1) (pp. 35-41) https://doi.org/10.1016/0009-2509(56)80008-0
- Moraveji et al. (2011) Modelling of convective heat transfer of a nanofluid in the developing region of tube with computational fluid dynamices 38(9) (pp. 1291-1295) https://doi.org/10.1016/j.icheatmasstransfer.2011.06.011
- Reza-E-Rabbi et al. (2018) Explicit finite difference analysis of an unsteady MHD flow of a chemically reacting casson fluid past a stretching sheet with Brownian motion and thermophoresis effects https://doi.org/10.1016/j.jksus.2018.10.017
- Sekrani and Poncet (2016) Further investigation on laminar forced convection of nanofluid flows in a uniformly heated pipe using direct numerical simulations (pp. 1-24) https://doi.org/10.3390/app6110332
- Shah et al. (1987) Laminar convective heat transfer in ducts Wiley
- Sharma et al. (2009) Estimation of heat transfer coefficient and friction factor in the transition flow with the with low volume concentration of Al2O3 nanofluid flowing in a circular tube with twisted tape insert 36(5) (pp. 503-507) https://doi.org/10.1016/j.icheatmasstransfer.2009.02.011
- Sukarno, D. H. (2017). Challenges for nanofluid applications in heat transfer technology. In: ICSAS, IOP Conf. Series: journal of physics: conference series, vol. 795, pp. 1–6. IOP Publishing.
- https://doi.org/10.1088/1742-6596/795/1/012020
- Teng and Hung (2014) Estimation and experimental study of the density and specific heat for alumina nanofluid 9(7) (pp. 707-718) https://doi.org/10.1080/17458080.2012.696219
- Tian and Barigou (2015) An improved vibration technique for enhancing temperature uniformity and heat transfer in viscous fluid flow (pp. 606-619) https://doi.org/10.1016/j.ces.2014.11.029
- Wakif et al. (2018) Numerical analysis of the unsteady natural convection MHD Couette nanofluid flow in the presence of thermal radiation using single and two phase nanofluid models for Cu–Water nanofluids 81(4) (pp. 1-27) https://doi.org/10.1007/s40819-018-0513-y
- Wen and Ding (2004) Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow condition 47(24) (pp. 5181-5188) https://doi.org/10.1016/j.ijheatmasstransfer.2004.07.012
- Xuan and Li (2000) Heat transfer enchancement of nanofluids 21(1) (pp. 58-64) https://doi.org/10.1016/S0142-727X(99)00067-3
- Yu, K., Park, C., Kim, S., Song, H., & Jeong, H. (2017). CFD analysis of nanofluid forced convection heat transport in laminar flow through a compact pipe. (pp. 1–7). In: 6th International Conference on Manufacturing Engineering and Process: IOP Publishing.
- https://doi.org/10.1088/1742-6596/885/1/012021
- Zhang et al. (2014) Effect of vibration on forced convection heat transfer for SiO2-water nanofluids 36(5) (pp. 452-461) https://doi.org/10.1080/01457632.2014.935214
10.1007/s40089-019-0276-4