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Effect of Thickness of Porous Layer on Thermo-Hydraulic Characteristics and Entropy Generation in a Partially Porous Wavy Channel

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Advances in Mechanical Engineering

Abstract

The present study discusses the effect of thickness of porous layer, Reynolds number and Darcy number on the thermo-hydraulic transport and entropy generation characteristics for flow through a partially porous wavy channel. The walls of the channel are heated under constant heat flux conditions. Brinkman–Forchhemier model has been employed to model the porous medium. The results reveal that the average Nusselt number and pressure drop increase with the thickness of porous layer and Darcy number. It is observed that the entropy generation decreases with the increase in Darcy number and thickness of porous layer.

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Abbreviations

C P :

Heat capacity at constant pressure (J/kg K)

D :

Diameter of channel (m)

Da :

Darcy Number (dimensionless)

F :

Inertia coefficient (dimensionless)

h p :

Thickness of porous layer (Hp/D)

h v :

Thickness of void region (Hv/D)

K :

Permeability (m2)

k :

Thermal conductivity (W/m K)

L c :

Length of corrugated channel (dimensionless)

Nu :

Nusselt number (dimensionless)

p 1 :

Pressure in porous region (Pa)

p 2 :

Pressure in void region (Pa)

P 1 :

Dimensionless pressure in porous regime

P 2 :

Dimensionless pressure in void regime

Pe :

Peclet number (dimensionless)

Pr :

Prandlt number (dimensionless)

Re :

Reynolds number (dimensionless)

T in :

Inlet Temperature (K)

U1, V1:

Dimensionless x and y component of velocity in porous regime

U2, V2:

Dimensionless x and y component of velocity in void regime

ε :

Porosity (dimensionless)

θ1, θ2:

Dimensionless temperature in porous and void regime, respectively

ρ :

Density (kg/m3)

μ :

Dynamic viscosity (Pa s)

λ :

Heat capacity ratio (dimensionless)

References

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Correspondence to Pitambar R. Randive .

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Bhowmick, D., Randive, P.R., Pati, S. (2020). Effect of Thickness of Porous Layer on Thermo-Hydraulic Characteristics and Entropy Generation in a Partially Porous Wavy Channel. In: Biswal, B., Sarkar, B., Mahanta, P. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0124-1_13

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  • DOI: https://doi.org/10.1007/978-981-15-0124-1_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0123-4

  • Online ISBN: 978-981-15-0124-1

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