Abstract
Thermocapillary convection of moderate Prandtl number nanofluid in rectangular cavity is numerically investigated in this paper, and the effect of nanoparticle volume fraction on flow instability is analyzed. The computational results show that, the critical temperature difference deceases gradually with nanoparticle volume fraction increasing, and nanofluid thermocapillary convection is less stable than the base fluid. With the increase of nanoparticle volume fraction the velocity oscillatory amplitude decreases, but the oscillatory period increases. Nanofluid oscillatory thermocapillary convection has one dominant oscillation frequency, and with nanoparticles volume fraction increasing the second fundamental frequency strengthens gradually.
Similar content being viewed by others
Data Availability
The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
Abbreviations
- Cp :
-
specific heat, J/kgK
- h:
-
cavity height, m
- l:
-
cavity length, m
- P:
-
pressure, Pa
- Pr:
-
Prandtl number, Pr = Cpμ/λ
- T:
-
fluid temperature, K
- t:
-
time, s
- V:
-
velocity vector, m/s
- u:
-
x-velocity, m/s
- v:
-
y-velocity, m/s
- x:
-
x-direction coordinate, m
- y:
-
y-direction coordinate, m
- λ:
-
thermal conductivity, W/mK
- ν:
-
kinematic viscosity, m2/s
- αp :
-
nanoparticles volume fraction
- μ:
-
dynamic viscosity, kg/ms
- ρ:
-
density, kg/m3
- τ:
-
oscillatory period, s
- f:
-
base fluid
- nf:
-
nanofluid
- p:
-
nanoparticles
- h:
-
hot wall
- c:
-
cold wall
References
Abdullah, A.A., Althobaiti, S.A., Lindsay, K.A.: Marangoni convection in water-alumina nanofluids: Dependence on the nanoparticle size. European J. Mechanics-B/fluids 67, 259–268 (2018)
Al-Sharafi, A., Sahin, A.Z., Yilbas, B.S., et al.: Marangoni convection flow and heat transfer characteristics of water-CNT nanofluid droplets. Numerical Heat Transfer, Part a: Applications. 69(7), 763–780 (2016)
Aminfar, H., Mohammadpourfard, M., Mohseni, F.: Numerical investigation of thermocapillary and buoyancy driven convection of nanofluids in a floating zone. Int. J. Mech. Sci. 65(1), 147–156 (2012)
Brinkman, H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 20(4), 571 (1952)
Choi, U.S.: Enhancing thermal conductivity of fluids with nanoparticles. ASME FED 231, 99–103 (1995)
Das, S.K., Choi, S.U.S., Yu, W., Pradeep, T.: Nanofluids Science and Technology. John Wiley & Sons, Hoboken, New Jersey (2008)
Du W., Zhao J., Li H., Zhang Y., Wei J., Li K.: Thermal Dynamics of Growing Bubble and Heat Transfer in Microgravity Pool Boiling. In: Hu W., Kang Q. (eds) Physical Science Under Microgravity: Experiments on Board the SJ-10 Recoverable Satellite. Research for Development. Springer. 73–99 (2019)
Gevorgyan, G.S., Petrosyan, K.A., Hakobyan, R.S., et al.: Experimental investigation of Marangoni convection in nanofluids. J. Contemporary Physics (armenian Academy of Sciences) 52(4), 362–365 (2017)
Hamilton, R.L., Crosser, O.K.: Thermal conductivity of heterogeneous two component systems. Ind. Eng. Chem. Fundam. 1(3), 187–191 (1962)
Jiang, Y.N., Xu, Z.: Numerical Investigation of Nanofluid Thermocapillary Convection Based on Two-Phase Mixture Model. Microgravity Sci. Tech. 29(5), 365–370 (2017)
Jiang, Y.N., Zhou, X.M.: Analysis of flow and heat transfer characteristics of nanofluids surface tension driven convection in a rectangular cavity. Int. J. Mech. Sci. 153–154, 154–163 (2019)
Jiang, Y.N., Chi, F.X., Chen, Q.S., Zhou, X.M.: Effect of substrate microstructure on thermocapillary flow and heat transfer of nanofluid droplet on heated wall. Microgravity Sci. Technol. 33, 37 (2021)
Jiang, Y.N., Zhou, X.M., Wang, Y.: Effect of nanoparticle shapes on nanofluid mixed forced and thermocapillary convection in minichannel, Int. Commun. Heat. Mass. Trasf. 118, 104884 (2020)
Jiang, Y.N., Zhou, X.M.: Yang Wang, Effects of nanoparticle shapes on heat and mass transfer of nanofluid thermocapillary convection around a gas bubble. Microgravity Sci. Technol. 32, 167–177 (2020)
Khanafer, K., Vafai, K.: A critical synthesis of thermophysical characteristics of nanofluids. Int. J. Heat. Mass. Transf. 54, 4410–4428 (2011)
Kolsi, L., Lajnef, E., Aich, W., et al.: Numerical investigation of combined buoyancy-thermocapillary convection and entropy generation in 3D cavity filled with Al2O3 nanofluid. Alexandria Engineering J. 56(1), 71–79 (2017)
Li, K., Xun, W. R., Hu, W. R.: Some bifurcation routes to chaos of thermocapillary convection in two-dimensional liquid layers of finite extent. Physics of Fluids 28, 054106 (2016)
Naveen, K.G., Arun, K.T., Subrata, K.G.: Heat transfer mechanisms in heat pipes using nanofluids-A review. Exp. Thermal. Fluid. Sci. 90, 84–100 (2018)
Shi, W.Y., Tang, K.Y., Ma, J.N., et al.: Marangoni convection instability in a sessile droplet with low volatility on heated substrate. Int. J. Therm. Sci. 117, 274–286 (2017)
Susanta, M.: Thermocapillary flow of thin Cu-water nanoliquid film during spin coating process. International Nano Letters 7(1), 9–23 (2017)
Stetten, A.Z., Iasella, S.V., Corcoran, T.E., Garoff, S., Przybycien, T.M., Tilton, R.D.: Surfactant-induced Marangoni transport of lipids and therapeutics within the lung. Curr. Opin. Colloid. Interface. Sci. 36, 58–69 (2018)
Saleh, H., Hashim, I.: Buoyant Marangoni convection of nanofluids in square cavity. Appl. Math. Mech. 36(9), 1169–1184 (2015)
Sheikholeslami, M., Chamkha, A.J.: Influence of Lorentz forces on nanofluid forced convection considering Marangoni convection. J. Molecular. Liquids. 225, 750–757 (2017)
Wu D.S., Huang J.L., Kong L., et al.: Coupled mechanisms of arc, weld pool and weld microstructures in high speed tandem TIG welding. Int. J. Heat. Mass. Transf. 154, 119641 (2020)
Yang S, Liang R, Xiao S, et al.: Influence of Ambient Airflow on Free Surface Deformation and Flow Pattern Inside Liquid Bridge With Large Prandtl Number Fluid (Pr>100) Under Gravity. J. Heart. Transf. 139(12): 122001 (2017)
Yu, J.J., Ruan, D.F., Li, Y.R., et al.: Experimental study on thermocapillary convection of binary mixture in a shallow annular pool with radial temperature gradient. Exp. Thermal. Fluid. Sci. 61, 79–86 (2015)
Yu, J.J., Li, Y.R., Wu, C.M., et al.: Three-dimensional thermocapillary–buoyancy flow of a binary mixture with Soret effect in a shallow annular pool. Int. J. Heat. Mass. Transf. 90, 1071–1081 (2015)
Zhou, X.M., Liu, Z.G., Huai, X.L.: Evolution of Free Surface in the Formation of Thermo-Solutocapillary Convection Within an Open Cavity. Microgravity Sci. Technol. 28(4), 421–430 (2016)
Zhou, X.M., Huai, X.L.: Thermo-solutocapillary convection in open rectangular cavity with dynamic free surface. Int. J. Heat. Mass. Transf. 137(082901), 1–9 (2015)
Zhou, X.M., Huai, X.L.: Free surface deformation of thermo-solutocapillary convection in axisymmetric liquid bridge. Microgravity Sci. Technol. 27, 39–47 (2015b)
Zhuang, Y.J., Zhu, Q.Y.: Analysis of entropy generation in combined buoyancy-Marangoni convection of power-law nanofluids in 3D heterogeneous porous media. Int. J. Heat. Mass. Transf. 118, 686–707 (2018)
Acknowledgements
The work was supported by National Natural Science Foundation of China (No.51976080, 12102128), the Fundamental Research Funds for the Central Universities (No. B200201037), and the Changzhou science and technology plan (Applied Basic Research) projects (CJ20200069).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled, “Moderate Prandtl number nanofluid thermocapillary convection instability in rectangular cavity”.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhou, X., Chi, F., Jiang, Y. et al. Moderate Prandtl Number Nanofluid Thermocapillary Convection Instability in Rectangular Cavity. Microgravity Sci. Technol. 34, 24 (2022). https://doi.org/10.1007/s12217-022-09940-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12217-022-09940-9