A model on the basis of analytics for computing maximum heat transfer in porous fins

This study presents an analytical work on the performance and optimum design analysis of porous fin of various profiles operating in convection environment. Straight fins of four different profiles, namely, rectangular, convex parabolic and two exponential types are considered for the present invest...

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Bibliographic Details
Published in:International journal of heat and mass transfer Vol. 55; no. 25-26; pp. 7611 - 7622
Main Authors: Kundu, Balaram, Bhanja, Dipankar, Lee, Kwan-Soo
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.12.2012
Elsevier
Subjects:
Applied sciences
Darcy model
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Heat transfer
Natural convection
Optimization
Porous surface
Straight fin
Theoretical studies. Data and constants. Metering
Straight fin
Natural convection
Performance
Porous surface
Darcy model
Optimization
Geometrical shape
Fin
Boundary condition
Porous material
Analytical solution
Heat transfer
ISSN:0017-9310, 1879-2189
Online Access:Get full text
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Summary:This study presents an analytical work on the performance and optimum design analysis of porous fin of various profiles operating in convection environment. Straight fins of four different profiles, namely, rectangular, convex parabolic and two exponential types are considered for the present investigation. An analytical technique based on the Adomian decomposition method is proposed for the solution methodology as the governing energy equations of porous fins for all the profiles are non-linear. A comparative study has been carried out among the results obtained from the porous and solid fins, and an appreciable difference has been noticed for a range of design conditions. Finally, the result shows that the heat transfer rate in an exponential profile with negative power factor is much higher than the rectangular profile but slightly higher than the convex profile. On the other hand, the fin performance is observed to be better for exponential profiles with positive power factor than other three profiles. A significant increase in heat transfer through porous fins occurs for any geometric fin compared to that of solid fins for a low porosity and high flow parameter.
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ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2012.07.069