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The critical limits of thermophysical properties defining the optimum heat transfer coefficient in case of spray quenching from high temperature

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Abstract

By altering the thermophysical properties of the coolant in the favourable direction of heat transfer, augmentation is achieved in the case of spray cooling in transition boiling. The above-stated thermophysical properties were varied, and the critical limit of maximum heat transfer was determined. In the current work, using various additives, the above stated is achieved, and the maximum enhancement limit is determined. Initially, dropwise experiments are conducted in a transition boiling temperature regime to determine the heat transfer coefficient variation mechanism. Thereafter, spray cooling experiments were performed. In the current work, three independent variables, which are part of Weber, Reynold and Prandtl numbers, are formed: ρ/µ, ρ/σ and cpµ/k. The basis of selection was to identify only the role of thermophysical properties of the heat transfer coefficient. From the variation in HTC with ρ/σ, it is concluded that HTC shows a decreasing trend in the ρ/σ range of 10.2–14, and then again, HTC increases with the rising value of ρ/σ. Finally, after ρ/σ = 20 s2m−3, the HTC does not change significantly, or it can be said that it reaches the plateau region. To check the suitability of the used coolants in fast quenching operations, the cooling parameters such as AHF, CHF and IHFs are compared. From this, it is concluded that the maximum CHF, AHF and IHF are achieved in the case of benzene (1600 ppm)-added water. The analysis of the developed correlations using various techniques shows that the design expert model produces the minimum error.

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Abbreviations

\(h\) :

Heat transfer coefficient, W m−2 K−1

\(h\) v :

Latent heat of vaporisation, J kg−1

k :

Thermal conductivity of the coolant, W m−1 K−1

\(m\) :

Mass of droplet evaporated, kg

\(n\) :

Number of droplets impinging per second, s−1

\(q\) :

Surface heat flux, MW m−2

\({A}^{^{\prime}}\) :

Heat transfer area of the droplet, m2

\({T}_{\mathrm{f}}\) :

Final temperature of the coolant, °C

T l :

Coolant temperature, °C

T s :

Saturation temperature, °C

T w :

Hot plate temperature, °C

C pl :

Specific heat of the coolant in liquid phase, J kg−1 K−1

C pv :

Specific heat of the coolant in vapour phase, J kg−1 K−1

µ :

Viscosity of the coolant, Pa s

θ :

Contact angle of the coolant, degree

ρ :

Density of the coolant, kg m−3

σ :

Surface tension of the coolant, mN m−1

λ :

Instability length scale, m

AHF:

Average heat flux, MW m−2

CHF:

Critical heat flux, MW m−2

IHF:

Initial heat flux, MW m−2

HTC:

Heat transfer coefficient

DAB:

Diffusivity

NB:

Nucleate boiling

TB:

Transition boiling

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Authors and Affiliations

  1. Spray Boiling Heat Transfer Laboratory, High-Speed Fluid Imaging Laboratory, Department of Chemical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India

    Kollati Prudhvi Ravikumar, Abanti Sahoo & Soumya Sanjeeb Mohapatra

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  1. Kollati Prudhvi Ravikumar
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Contributions

KPR collected the experimental data, analysing, software utilisation, writing the original draft and reviewing. AS contributed to analysing, supervising and reviewing. SSM contributed to design, conceptualisation, data curation, writing the original draft, supervising and reviewing. All the authors thoroughly verified the final manuscript and approved.

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Correspondence to Kollati Prudhvi Ravikumar.

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Ravikumar, K.P., Sahoo, A. & Mohapatra, S.S. The critical limits of thermophysical properties defining the optimum heat transfer coefficient in case of spray quenching from high temperature. J Therm Anal Calorim 148, 7919–7938 (2023). https://doi.org/10.1007/s10973-023-12245-7

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