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Application of Taguchi Philosophy for Optimization of Design Parameters in a Rectangular Enclosure with Triangular Fin Array

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Abstract

In this study, an optimum parametric design yielding maximum heat transfer has been suggested using Taguchi Philosophy. This statistical approach has been applied to the results of an experimental parametric study conducted to investigate the influence of fin height (L); fin spacing (S) and Rayleigh number (Ra) on convection heat transfer from triangular fin array within a vertically oriented rectangular enclosure. Taguchi’s L9 (3**3) orthogonal array design has been adopted for three different levels of influencing parameters. The goal of this study is to reach maximum heat transfer (i.e. Nusselt number). The dependence of optimum fin spacing on fin height has been also reported. The results proved the suitability of the application of Taguchi design approach in this kind of study, and the predictions by the method are reported in very good agreement with experimental results. This paper also compares the application of classical design approach with Taguchi’s methodology used for determination of optimum parametric design

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Abbreviations

A :

Effective surface area (m2)

Adj SS :

Adjusted sum of squares

ANOVA :

Analysis of variance

a :

Enclosure length (m)

b :

Enclosure width (m)

DF :

Degree of freedom

DOE :

Design of experiments

F :

Variance ratio

F′ :

View factor

FITS :

Fitted values

g :

Acceleration due to gravity (m/s2)

H :

Enclosure height (m)

k :

Thermal conductivity (W/mK)

L :

Fin height (m)

MS :

Mean square

m :

Mass flow rate (kg/s)

Nu :

Nusselt number

n :

Number of response in factor level combination

P :

Probability of significance

Pr:

Prandtl number

Q :

Heat transfer rate (W)

R :

Resistance of the panel heater (Ω)

RESI :

Residual values

Ra :

Rayleigh number

S :

Fin spacing (m)

SNRA :

Signal to noise ratio

SS :

Sum of squares

Seq SS :

Sequential sum of squares

T :

Temperature (K)

V :

Voltage applied (V)

x :

Enclosure wall thickness (m)

Y :

Response for given factor level combination

β :

Coefficient of volume expansion (K−1)

ε :

Emissivity

ν :

Kinematic viscosity (m2/s)

σ :

Stefan Boltzmann constant (W/m2 K4)

a :

Air

c :

Cooled wall

cond :

Conduction

conv :

Convection

f :

Film value

h :

Heated wall

optimum :

Optimum value

rad :

Radiation

wall :

Enclosure side wall

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Authors and Affiliations

  1. Allenhouse Institute of Technology, Kanpur, 208008, U.P., India

    Ankur Dwivedi

  2. National Institute of Technology, Hamirpur, 177005, H.P., India

    Debasish Das

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  1. Ankur Dwivedi
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  2. Debasish Das
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Correspondence to Debasish Das.

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Dwivedi, A., Das, D. Application of Taguchi Philosophy for Optimization of Design Parameters in a Rectangular Enclosure with Triangular Fin Array. J. Inst. Eng. India Ser. C 96, 351–362 (2015). https://doi.org/10.1007/s40032-015-0186-9

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  • DOI: https://doi.org/10.1007/s40032-015-0186-9

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