Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-10T13:50:33.619Z Has data issue: false hasContentIssue false

The Effect of the Surface Inclination on the Hydrodynamics and Thermodynamics of Leidenfrost Droplets

Published online by Cambridge University Press:  13 March 2014

P. Pournaderi*
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
A. R. Pishevar
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
Get access

Abstract

In this research, the effect of the surface inclination on the hydrodynamics and heat transfer of droplets impinging on very hot surfaces is studied. The applied numerical algorithm is based on the accurate calculation of the vaporization rate in the simulation process using a combination of the level set and ghost fluid methods. Also a mesh clustering technique is utilized to create sufficient mesh resolution near the surface in order to take into account the effect of the thin vapor layer between droplet and very hot surface. The results are verified against available experiments. The effect of the surface inclination on the droplet maximum spreading radius, droplet contact time and total heat removal from the surface is considered. Results show that for the studied regime, the maximum spreading radius of the droplet is decreased with an increase in the surface inclination while the droplet contact time on the surface is independent from the surface inclination. For inclinations greater than 45°, the total heat removal is decreased considerably with an increase in the inclination angle. For smaller inclinations, the dependency of the total heat removal on the surface inclination is not strong.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Wachters, L. H. J. and Westerling, N. A. J., “The Heat Transfer from a Hot Wall to Impinging Water Drops in the Spheroidal State,” Chemical Engineering Science, 21, pp. 10471056 (1966).Google Scholar
2.Hatta, N., Fujimoto, H., Kinoshita, K. and Takuda, H., “Experimental Study of Deformation Mechanism of a Water Droplet Impinging on Hot Metallic Surfaces above the Leidenfrost Temperature,” Journal of Fluids Engineering, 119, pp. 692699 (1997).Google Scholar
3.Karl, A. and Frohn, A., “Experimental Investigation of Interaction Process between Droplets and Hot Walls,” Physics of Fluids, 12, pp. 785796 (2000).Google Scholar
4.Biance, A. L., Chevy, F., Clanet, C., Lagubeau, G. and Quere, D., “On the Elasticity of an Inertial Liquid Shock,” Journal of Fluid Mechanics, 554, pp. 4766 (2006).CrossRefGoogle Scholar
5.Celata, G. P., Cumo, M., Mariani, A. and Zummo, G., “Visualization of the Impact of Water Drops on a Hot Surface: Effect of Drop Velocity and Surface Inclination,” Heat and Mass Transfer, 42, pp. 885890 (2006).Google Scholar
6.Harvie, D. J. E. and Fletcher, D. F., “A Hydrodynamic and Thermodynamic Simulation of Droplet Impacts on Hot Surfaces, Part I: Theoretical Model,” International Journal of Heat and Mass Transfer, 44, pp.26332642 (2001).Google Scholar
7.Harvie, D. J. E. and Fletcher, D. F., “A Hydrodynamic and Thermodynamic Simulation of Droplet Impacts on Hot Surfaces, Part II: Validation and Applications,” International Journal of Heat and Mass Transfer, 44, pp. 26432659 (2001).CrossRefGoogle Scholar
8.Ge, Y. and Fan, L. S., “Three-Dimensional Simulation of Impingement of a Liquid Droplet on a Flat Surface in the Leidenfrost Regime,” Physics of Fluids, 17, pp. 120 (2005).CrossRefGoogle Scholar
9.Chatzikyriakou, D., Walker, S. P., Narayanan, C. and Lakehal, D., “Comparison of Measured and Modeled Droplet-hot wall Interactions,” Applied Thermal Engineering, 29, pp. 13981405 (2009).Google Scholar
10.Pournaderi, P. and Pishevar, A. R., “A Numerical Investigation of Droplet Impact on a Heated Wall in the Film Boiling Regime,” Heat and Mass Transfer, DOI: 10.1007/s00231-012-0999-5.Google Scholar
11.Nguyen, D. Q., Fedkiw, R. P. and Kang, M., “A Boundary Condition Capturing Method for Incompressible Flame Discontinuities,” Journal of Computational Physics, 172, pp. 7198 (2001).Google Scholar
12.Gibou, F., Chen, L., Nguyen, D. and Banerjee, S., “A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations with Phase Change,” Journal of Computational Physics, 222, pp. 536555 (2007).Google Scholar
13.Kang, M., Fedkiw, R. P. and Liu, X. D., “A Boundary Condition Capturing Method for Multiphase Incompressible Flow,” Journal of Scientific Computing, 15, pp. 323367 (2000).Google Scholar
14.Tanguy, S., Menard, T. and Berlemont, A., “A Level Set Method for Vaporizing Two-phase Flows,” Journal of Computational Physics, 221, pp. 837853 (2007).Google Scholar
15.Sussman, M., Smereka, P. and Osher, S., “A Level Set Approach for Computing Solutions to Incompressible Two-phase Flow,” Journal of Computational Physics, 114, pp. 146159 (1994).CrossRefGoogle Scholar
16.Osher, S. and Fedkiw, R., Level Set Methods and Dynamic Implicit Surfaces, Springer-Verlag, New York, pp. 1145 (2002).Google Scholar
17.Son, G. and Dhir, V. K., “Numerical Simulation of Nucleate Boiling on a Horizontal Surface at High Heat Fuxes,” International Journal of Heat and Mass Transfer, 51, pp. 25662582 (2008).CrossRefGoogle Scholar
18.Fedkiw, R. P., Aslam, T., Merriman, B. and Osher, S., “A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method),” Journal of Computational Physics, 152, pp. 457510 (1999).Google Scholar
19.Liu, X. D., Fedkiw, R. P. and Kang, M., “A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains,” Journal of Computational Physics, 160, pp. 151178 (2000).Google Scholar
20.Aslam, T. D., “A Partial Differential Equation Approach to Multidimensional Extrapolation,” Journal of Computational Physics, 193, pp. 349355 (2003).Google Scholar