Home Physical Sciences A numerical simulation of nucleate boiling of water on inclined and rough surfaces
Article
Licensed
Unlicensed Requires Authentication

A numerical simulation of nucleate boiling of water on inclined and rough surfaces

  • Wasim Khan , Mayank Singh and M. Siraj Alam EMAIL logo
Published/Copyright: June 18, 2025
Become an author with De Gruyter Brill

Abstract

This investigation presents nucleate pool boiling of water using an experimental setup as well as through numerical simulation. The experimental setup consists of a 10 × 8 square inch boiling vessel and a 5-inch horizontal copper heating plate with cartridge electrical heater. Further, 2D numerical simulation on similar geometry was also performed using RPI (Rensselaer Polytechnic Institute) boiling model in commercial simulation software FLUENT Release 16.2 (of Fluent Inc., USA). The results were validated with the experimental data of this investigation as well as with the data available in various literature. Thereafter, the simulation model for the horizontal surface was extended to study the effects of variation in the angle of inclination of the base heater plate from 0° to 45° in intervals of 5°, keeping the heating surface towards the boiling liquid. Further, the effects of heating surface roughness were also studied. On comparing the data with the horizontal surface, the heat transfer was found to be dependent upon the angle of inclination of heating surface and an increasing trend in heat transfer coefficient was observed, while the onset of bubble formation for all the angles was observed at the lowermost position of the plate, heading upwards. The computational study of roughness over heater plate was also cogent enough to conclude enhancement in heat transfer over treated surfaces.


Corresponding author: M. Siraj Alam, Department of Chemical Engineering, MNNIT Allahabad, 211004, Prayagraj, India, E-mail:

Acknowledgments

The authors are grateful to MNNIT ALLAHABAD for providing necessary support to carry out this study.

  1. Research ethics: Not applicable.

  2. Informed consent: Not applicable.

  3. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The authors state no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: Not applicable.

Nomenclature

A b

Portion of wall surface covered by nucleating bubble

A i

Interfacial area

C wt

Coefficient for bubble waiting time

C pl,C pv

Liquid and vapor heat capacity

D b,D d

Bubble and dispersed-phase diameter

d bw

Bubble departure diameter

f bw

Bubble departure frequency

F

Inter-phase momentum forces

g

Gravity

h

Heat transfer coefficients

H lv

Latent heat

H q

Specific enthalpy

H rq,H qr

Inter-phase enthalpy

k l

Liquid heat conductivity

m ˙

Rate of mass transfer

n

Number of phases

N w

Nucleate site density

p rl

Liquid Prandtl number

q ˙

Heat flux

S q,S H.q

External mass and heat source

S ϕ,q

General turbulence model source term

S c,S p

Linearized source terms in discretized transport equations

t

Time

T w,T q

Wall and phase static temperature

T sat

Liquid saturation temperature

v

Velocity vector

V b

Near-wall bulk velocity

V q e n

Normal velocity component at face “e”

Δt

Time step

ΔT sub

Liquid subcool

ΔT sup

Wall superheat

Greek letters

α

Phase volume fraction

β

Contact angle in degrees

γ

Fluid/phase heat diffusivity

ω

General interfacial quantities

ρ

Phase density

ϕ

General scalar

μ:

Dynamic viscosity

σ

Surface tension coefficient

Γ

Diffusion coefficient

Subscripts

q, r

qth and rth phase

l,v,c,d

Liquid, vapor, continuous and disperse phase

C

convection

Q

quenching

E

evaporation

I

liquid-vapor interface

w

wall

References

1. Gungor, KE, Winterton, RHS. A general correlation for flow boiling in tubes and annuli. Int J Heat Mass Tran 1986;29:351–8. https://doi.org/10.1016/0017-9310(86)90205-x.Search in Google Scholar

2. Anderson, TM, Mudawar, I. Microelectronic cooling by enhanced pool boiling of a dielectric fluorocarbon liquid. J Heat Tran 1989;111:752–9. https://doi.org/10.1115/1.3250747.Search in Google Scholar

3. Rainey, KN, You, SM. Pool boiling heat transfer from plain and microporous, square pin-finned surfaces in saturated FC-72. J Heat Tran 2000;122:509–16. https://doi.org/10.1115/1.1288708.Search in Google Scholar

4. Rainey, KN, You, SM. Effects of heater size and orientation on pool boiling heat transfer from microporous coated surfaces. Int J Heat Mass Tran 2001;44:2589–99. https://doi.org/10.1016/s0017-9310(00)00318-5.Search in Google Scholar

5. Alam, MS, Prasad, L, Gupta, S, Agarwal, V. Enhanced boiling of saturated water on copper coated heating tubes. Chem Eng Process: Process Intensif 2008;47:159–67. https://doi.org/10.1016/j.cep.2007.07.021.Search in Google Scholar

6. Tolubinskiy, VI. Heat transfer under boiling. NaukovaDumka, Kiev 1980:267–70. (Chapters 4 and 5).Search in Google Scholar

7. Kutateladze, SS, VeniaminMironovichBorishanskiĭ. A concise encyclopedia of heat transfer. Pergamon; 1966. (Chapter 12). http://data.vista.gov.vn:8080/jspui/handle/123456789/1096 Search in Google Scholar

8. Kutateladze, SS. Heat transfer and hydrodynamic resistance. Énergoatomizdat, Moscow 1990:151 p.Search in Google Scholar

9. Labuntsov, DA. Heat transfer problems with nucleate boiling of liquids. Therm Eng (USSR)(Engl Transl) 1973;19:21–8.Search in Google Scholar

10. Kruzhilin, GN. Free-convection transfer of heat from a horizontal plate and boiling liquid. Doklady AN SSSR (Rep USSR Acad Sci) 1947;58:1657–60.Search in Google Scholar

11. Cichelli, MT, Bonilla, CF. Heat transfer to liquids boiling under pressure. Trans Am Inst Chem Eng 1945;41:755–87.Search in Google Scholar

12. Guo, Z, El-Genk, MS. An experimental study of the effect of surface orientation on boiling heat transfer during quenching. ASME Winter Annual Meeting 1991;160. https://isnps.unm.edu/publications/160/.Search in Google Scholar

13. Kim, SJ, Rempe, JL. Experimental study of critical heat flux in inclined rectangular gap. International conference on global environment and advanced nuclear power plants, [1675], Japan. GENES4/ANP, 2003. Web.Search in Google Scholar

14. Howard, AH, Mudawar, I. “Orientation effects on pool boiling critical heat flux (CHF) and modeling of CHF for near-vertical surfaces”. Int J Heat Mass Tran 1999;42:1665–88. https://doi.org/10.1016/s0017-9310(98)00233-6.Search in Google Scholar

15. Kim, Y-H, Lee, K-J, Han, D. Pool boiling enhancement with surface treatments. Heat Mass Tran 2008;45:55–60. https://doi.org/10.1007/s00231-008-0402-8.Search in Google Scholar

16. Li, H. Prediction of boiling and critical heat flux using aneulerian multiphase boiling model. In: ASME 2011 international mechanical engineering congress and exposition. New York City, U.S: American Society of Mechanical Engineers; 2011.10.1115/IMECE2011-65539Search in Google Scholar

17. Shin, BS, Chang, SH. CHF experiment and CFD analysis in a 2× 3 rod bundle with mixing vane. Nucl Eng Des 2009;239:899–912. https://doi.org/10.1016/j.nucengdes.2009.01.011.Search in Google Scholar

18. Burns, A, Egorov, Y, Zwart, P. Wall boiling model. CFX12. 0 Solver 2007;2007.Search in Google Scholar

19. Lavieville, J. Neptune CFD V1. 0 theory manual. Nept Rep Nept_2004_L1 2006;2.Search in Google Scholar

20. Tentner, A. Advances in computational fluid dynamics modeling of two-phase flow in a boiling water reactor fuel assembly. In: 14th International Conference on Nuclear Engineering. New York City, U.S: American Society of Mechanical Engineers; 2006.10.1115/ICONE14-89158Search in Google Scholar

21. Ioilev, A. Advances in the modeling of cladding heat transfer and critical heat flux in boiling water reactor fuel assemblies. In: Proc. 12th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-12). Pittsburgh, Pennsylvania, USA: American Nuclear Society (ANS); 2007.Search in Google Scholar

22. Khan, W, Chandra, AK, Kishor, K, Sachan, S, Siraj Alam, M. Slug formation mechanism for air–water system in T-junction microchannel: a numerical investigation. Chem Pap 2018;72:2921–32. https://doi.org/10.1007/s11696-018-0522-7.Search in Google Scholar

23. Khan, W, Chandra, AK, Sachan, S, Alam, MS. Effects of channel hydraulic diameters and flow ratios of two-phase flow in Y-junction microchannels. Chem Eng Technol 2022;45:535–42. https://doi.org/10.1002/ceat.202100461.Search in Google Scholar

24. Kenning, DBR, Del Valle, MVH. Fully-developed nucleate boiling: overlap of areas of influence and interference between bubble sites. Int J Heat Mass Tran 1981;24:1025–32. https://doi.org/10.1016/0017-9310(81)90133-2.Search in Google Scholar

25. Cole, R. A photographic study of pool boiling in the region of the critical heat flux. AIChE J 1960;6:533–8. https://doi.org/10.1002/aic.690060405.Search in Google Scholar

26. Benjamin, RJ, Balakrishnan, AR. Nucleate pool boiling heat transfer of pure liquids at low to moderate heat fluxes. Int J Heat Mass Tran 1996;39:2495–504. https://doi.org/10.1016/0017-9310(95)00320-7.Search in Google Scholar

27. Borishanskii, V, Bobrovich, G, Minchenko, F. Heat transfer from a tube to water and to ethanol in nucleate pool boiling. In: Kutateladze, SS, editor. Symposium of Heat Transfer and Hydraulics in Two-Phase Media. Moscow: Gosenergoizdat; 1961.Search in Google Scholar

28. Cryder, DS, Finalborgo, AC. Heat transmission from metal surfaces to boiling liquids; effect of temperature of the liquid on the liquid film coefficient. Am Institu Chem Eng 1937;33:346–62.Search in Google Scholar

29. Shou-Shing, H, Pao-Tung, H. Nucleate boiling characteristics of R-114, distilled water (H2O) and R-134a on plain and rib-roughened tube geometries. Int J Heat Mass Tran 1994;37:1423–32. https://doi.org/10.1016/0017-9310(94)90144-9.Search in Google Scholar

30. Dhir, VK. Effect of surface wettability on active nucleation site density during pool boiling of water on a vertical surface. J Heat Tran 1993;115:659. https://doi.org/10.1115/1.2910737.Search in Google Scholar

31. Young, RK, Hummel, RL. Improved nucleate boiling heat transfer. Chem Eng Prog 1964;60:53–8.10.1021/ie50660a009Search in Google Scholar

32. Sateesh, G, Das, SK, Balakrishnan, AR. Analysis of pool boiling heat transfer: effect of bubbles sliding on the heating surface. Int J Heat Mass Tran 2005;48:1543–53. https://doi.org/10.1016/j.ijheatmasstransfer.2004.10.033.Search in Google Scholar

33. Pioro, IL, Rohsenow, W, Doerffer, SS. Nucleate pool-boiling heat transfer. I: review of parametric effects of boiling surface. Int J Heat Mass Tran 2004;47:5033–44. https://doi.org/10.1016/j.ijheatmasstransfer.2004.06.019.Search in Google Scholar

34. Marcus, BD, Dropkin, D. The effect of surface configuration on nucleate boiling heat transfer. Int J Heat Mass Tran 1963;6:863–6. https://doi.org/10.1016/0017-9310(63)90069-3.Search in Google Scholar

35. Lienhard, JH. On the two regimes of nucleate boiling. J Heat Tran 1985;107:262–4. https://doi.org/10.1115/1.3247392.Search in Google Scholar

36. Kaneyasu, N, Yasunobu, F, Satoru, U, Haruhiko, O. Effect of surface configuration on nucleate boiling heat transfer. Int J Heat Mass Tran 1984;27:1559–71. https://doi.org/10.1016/0017-9310(84)90268-0.Search in Google Scholar

Received: 2025-01-13
Accepted: 2025-04-15
Published Online: 2025-06-18

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 31.12.2025 from https://www.degruyterbrill.com/document/doi/10.1515/cppm-2025-0008/pdf
Scroll to top button