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Experimental determination of buoyancy induced convection heat transfer characteristics in a rectangular cavity with cylindrical porous medium fixed between pin fins

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Abstract

The present work aims to investigate the heat transfer characteristics of heated cylindrical pins within an air-filled rectangular enclosure experimentally in a natural convection dominated regime. The experiments are performed to analyze the effects of fin spacing (25 mm ≤ S ≤ 100 mm) and Rayleigh number (248,659 ≤ Ra ≤ 578,395) as key factors at constant pin height (l = 25 mm) and pin diameter (d = 10 mm) values. The results confirm the existence of optimum fin spacing providing maximum heat transfer enhancement. The investigation is extended further to quantify the effects of the presence of cylindrical porous pins with the uniform diameter (dp = 15 mm), pin length (lp = 20 mm) and calculated porosity of 19.3% by volume on the thermal performance of the system. The results reveal the improved system performance due to the presence of a porous medium for all tested system configurations. Some new empirical correlations predicting system performance are also proposed those demonstrate the satisfactory qualitative behavior of system performance.

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Abbreviations

A :

Area (m2)

AR :

Aspect ratio

a :

enclosure length (m)

b :

enclosure width (m)

d :

pin diameter (m)

Da :

Darcy number

F′ :

shape factor

g :

acceleration due to gravity (m/s2)

Gr :

Grashof number

H :

enclosure height (m)

h :

Convection heat transfer coefficient (W/m2-K)

HC:

Half cylinder

k :

thermal conductivity (W/m-K)

K p :

Permeability (m2)

l :

pin length (m)

m :

mass flow rate (kg/s)

Nu :

Nusselt number

O :

Porous medium’s orientation

Pr:

Prandtl number

Q :

heat transfer rate (W)

R :

Resistance of the panel heater (Ω)

Ra :

Rayleigh number

Re :

Reynolds number

S :

Longitudinal fin spacing (m)

T :

Temperature (K)

V :

voltage applied (V)

v :

volume (m3)

x :

Enclosure wall thickness (m)

y :

Lateral fin spacing (m)

z :

Average air gap between contact surfaces (m)

β :

Coefficient of volume expansion (K−1)

ε’ :

emissivity

ν:

kinematic viscosity (m2/s)

σ :

Stefan Boltzmann constant (W/m2-K4)

φ :

porosity

χ :

Performance ratio

δ :

Base plate thickness (m)

a :

Air

c :

cold surface

f :

film

h :

hot surface

w :

wall

r :

radiating surfaces

p :

porous

t :

total

ch :

characteristic

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology, Hamirpur (H.P.), 177005, India

    Debasish Das & Chaitanya Singapuri

  2. Department of Mechanical Engineering, Allenhouse Institute of Technology, Kanpur (U.P.), 208008, India

    Ankur Dwivedi

Authors
  1. Debasish Das
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  2. Chaitanya Singapuri
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  3. Ankur Dwivedi
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Correspondence to Ankur Dwivedi.

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Appendix

Appendix

Fig. 12
figure 12

Thermocouple calibration curve

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Fig. 13
figure 13

Steady state establishment curve

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Das, D., Singapuri, C. & Dwivedi, A. Experimental determination of buoyancy induced convection heat transfer characteristics in a rectangular cavity with cylindrical porous medium fixed between pin fins. Heat Mass Transfer 56, 1293–1306 (2020). https://doi.org/10.1007/s00231-019-02767-y

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