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Large Eddy Simulation of Turbulent Slot Jet Impingement on Heated Flat Plate

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Recent Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The present large eddy simulation (LES) study investigates heat transfer characteristics of a turbulent slot jet impingement on a smooth and flat target plate at a constant wall heat flux condition. The operating parameters are slot width (S) = 2.5 mm, nozzle to plate spacing (H/\(D_{h}\)) = 4, 8, 12 and Reynolds number (Re) = 4000, 8000, 12,000. The results show that Nusselt number (Nu) increases with an increase in Reynolds number. The results also show at a fixed nozzle to plate spacing, on increasing the Reynolds number, Nusselt number (Nu) will also increase. The results also show that at a fixed Reynolds number, on increasing the nozzle to plate spacing, Nusselt number will decrease. The Nusselt number will be highest at stagnation point and then it gets decreased along wall jet regions.

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Abbreviations

S:

Slot jet width, mm

\(D_{h}\) :

Twice of slot jet width, m

H :

Distance between the slot jet exit and the targeted plate, m

Re:

Reynolds number based on slot jet width and average jet exit velocity, \(\frac{V2S}{{\upsilon_{k} }}\)

h :

Convective heat transfer coefficient, W/m2K

\(k_{f}\) :

Thermal conductivity of air, w/Mk

\(B\) :

Characteristics length, m

\({\text{Nu}}_{{{\text{avg}}}}\) :

Nusselt number, \({\text{hB}}/k_{f}\)

\(\Delta Y^{ + }\) :

Non-dimensional wall coordinate, y \(u_{\tau } /\upsilon_{k}\)

\(\Delta z^{ + }\) :

Size of the grid in z-direction in wall coordinates, z

\(\Delta\) :

Filter width or grid size

\(\in\) :

Dissipation rate, \({\text{m}}^{2} /{\text{s}}^{3}\)

\(\eta\) :

Kolmogorov length scale, m

\(\upsilon_{k}\) :

Kinematic viscosity, \({\text{m}}^{2} /{\text{s}}\)

\(\upsilon\) :

Dynamic viscosity, pa s

\(\mu_{{{\text{SGS}}}}\) :

Subgrid-scale eddy viscosity, \({\text{m}}^{2} /{\text{s}}\)

\(C_{w}\) :

WALE constant

\(c_{p}\) :

Specific heat of air, J/K

\(i,j\) :

Index of coordinate direction

\(\Delta x^{ + }\) :

Size of the grid in x-direction in wall coordinates, x

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Correspondence to Ghulam Rabbani .

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Rabbani, G., Singh, D. (2021). Large Eddy Simulation of Turbulent Slot Jet Impingement on Heated Flat Plate. In: Pandey, K., Misra, R., Patowari, P., Dixit, U. (eds) Recent Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-7711-6_78

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  • DOI: https://doi.org/10.1007/978-981-15-7711-6_78

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