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Performance Studies with Trapezoidal, Sinusoidal and Square Corrugated Aluminium Alloy (AlMn1Cu) Plate Ducts

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Modeling, Simulation and Optimization

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 206))

Abstract

Superior heat transfer is possible in corrugated aluminium alloy plate heat transferring devices due to high turbulence generated by fluid flowing over it. Therefore, a standard k-ɛ turbulence model coupled with heat transfer in fluid model was employed to study performance of three corrugated channels. This study covers an investigation of 2-D heat transfer and fluid flow through sinusoidal, square, and trapezoidal corrugated ducts. The fluid used in the analysis was air with a density of 1.225 kg/m3. The air with an inlet temperature of 380 K was passed through the channel (between the corrugated plates) and in the process, air transfers heat to the plates. On outside of the channel made of corrugated plates was maintained at room temperature. Variations of Nusselt number (Nu), change of velocity and pressure drop with the arc length of the corrugated channel have been computed for three geometries. It was observed that Nu variation from the inlet to outlet for trapezoidal, sinusoidal and square ducts were 52–71, 49–65 and 46–61 respectively. Velocity variations were found to be of 2–2.58, 2–2.35 and 2–2.30 m/s in the channels respectively. The pressure drops from the entry to exit were found 1.33 Pa, 1.7 Pa and 2.28 Pa for trapezoidal, square and sinusoidal channels respectively.

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Abbreviations

G k :

The conversion of turbulence kinetic energy for mean velocity gradients (m2/s2)

K:

Kelvin

k :

Turbulent kinetic energy (m2/s2)

kg/s:

Kilogram/second

kW/m2:

Kilowatt/metre2

mm:

Millimetre

Nu:

Nusselt number

P:

Pressure (Pa)

D h :

Hydraulic diameter

A :

Duct cross sectional area (m2)

f :

Friction factor

q/Q u :

Heat flux/useful heat gain (W/m2/W)

Re:

Reynolds number

T:

Absolute temperature

u/V:

X-coordinate velocity

:

Streamwise velocity fluctuation

v :

Y-coordinate velocity

:

Transverse velocity fluctuation

x :

Streamwise direction

y :

Transverse direction

σ :

Diffusion Prandtl number

ρ :

Density (kg/m3)

ɛ :

Dissipation kinetic energy (m2/s3)

μ :

Dynamic viscosity of the fluid (kg/m s)

Γ:

Thermal diffusivity (m2/s)

in:

Inlet

t :

Turbulent

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Acknowledgements

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Correspondence to Monoj Bardalai .

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Dutta, P.P., Kakati, H., Bardalai, M., Dutta, P.P. (2021). Performance Studies with Trapezoidal, Sinusoidal and Square Corrugated Aluminium Alloy (AlMn1Cu) Plate Ducts. In: Das, B., Patgiri, R., Bandyopadhyay, S., Balas, V.E. (eds) Modeling, Simulation and Optimization. Smart Innovation, Systems and Technologies, vol 206. Springer, Singapore. https://doi.org/10.1007/978-981-15-9829-6_59

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