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Effect of surface thickness on the wetting front velocity during jet impingement surface cooling

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Abstract

A hot stainless steel (SS-304) surface of 450 ± 10 °C initial temperature is cooled with a normally impinging round water jet. The experiments have been performed for the surface of different thickness e.g. 1, 2, 3 mm and jet Reynolds number in the range of Re = 26,500–48,000. The cooling performance of the hot test surface is evaluated on the basis of wetting front velocity. The wetting front velocity is determined for 10–40 mm downstream spatial locations away from the stagnation point. It has been observed that the wetting front velocity increase with the rise in jet flow rate, however, diminishes towards the downstream spatial location and with the rise in surface thickness. The proposed correlation for the dimensionless wetting front velocity predicts the experimental data well within the error band of ±30 %, whereas, 75 % of experimental data lies within the range of ±20 %.

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Abbreviations

Br :

Brun number \(\left( {\frac{{k_{j} }}{{k_{s} }}} \right)\left( {\frac{w}{l}} \right)Re^{{\frac{1}{2}}} Pr^{{\frac{1}{3}}}\)

cp :

Specific heat of material (kJ/kg K)

d :

Jet diameter (m)

k:

Thermal conductivity (W/m K)

l:

Length of test surface (m)

Pe :

Peclet number, dimensionless wetting front velocity, uw/α s

Pr :

Prandtl number, υ/α j

Q :

Water flow rate (lpm)

r:

Distance away from stagnation point in radial direction (m)

Re :

Reynolds number, Ud/υ

t:

Time (s)

td :

Wetting delay (s)

T:

Temperature (°C)

u:

Wetting front velocity (m/s)

U :

Jet velocity at nozzle exit (m/s)

w :

Thickness of test surface (m)

z:

Spacing between jet exit to test surface (m)

z/d :

Dimensionless nozzle exit to test surface spacing

υ :

Kinematic viscosity of water (m2/s)

α :

Thermal diffusivity of surface (m2/s)

ρ :

Density of material (kg/m3)

j:

Jet

i:

Initial

s:

Test-surface

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Acknowledgments

Authors are thankful to the Department of Mechanical Engineering CTAE, Udaipur for the support provided to carry out experimental work.

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Authors and Affiliations

  1. Department of Mechanical Engineering, College of Technology and Engineering, Maharana Pratap University of Agriculture and Technology, Udaipur, Rajasthan, 313001, India

    Chitranjan Agrawal, Deepesh Gotherwal, Chandradeep Singh & Charan Singh

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  1. Chitranjan Agrawal
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  2. Deepesh Gotherwal
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  3. Chandradeep Singh
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  4. Charan Singh
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Correspondence to Chitranjan Agrawal.

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Agrawal, C., Gotherwal, D., Singh, C. et al. Effect of surface thickness on the wetting front velocity during jet impingement surface cooling. Heat Mass Transfer 53, 733–741 (2017). https://doi.org/10.1007/s00231-016-1855-9

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