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Optimization for Position of Heat Loop in Refrigerator Using Steady-State Thermal Analysis

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Abstract

Heat loop is an integral part of the household refrigerator, which helps to avoid external condensation on the refrigerator but also increases its energy consumption. Hence, heat loop position inside foam needs to be carefully chosen to provide an optimum trade-off between the robustness of refrigerator to external condensation and minimum energy consumption. The present study aims to develop a simulation methodology for the selection of heat loop position which gives minimum energy consumption and maximum robustness for external condensation. Optimization problem definition discussed in the study led to the creation of full factorial design of experiment (DoE) setup which is solved using the finite element methods. The output from full factorial design of experiment is utilized to perform sensitivity analysis and trade-off analysis to find the optimum heat loop position. The work thus helps to have a systematic and optimum selection of input parameters so as to predict and design the refrigerator with desired attributes.

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Abbreviations

E :

Energy consumption (dimensionless since this is considered as ratio in current study)

R :

Robustness to external condensation (dimensionless)

T ambient :

Ambient temperature of air (°C)

T dp :

Dew point temperature (°C)

RH:

Relative humidity (dimensionless)

T H :

Temperature of refrigerant in heat loop (°C)

T I :

Inside temperature in refrigerator (°C)

T A :

External temperature on refrigerator surfaces (°C)

x, y:

Decision variables representing heat loop coordinates (position) (m)

U x :

Upper bound for x-values (m)

U y :

Upper bound for y-values (m)

L x :

Lower bound for x-values (m)

L y :

Lower bound for y-values (m)

q :

Heat flux (W)

h :

Convection coefficient (W/m2−°C)

A :

Surface area (m2)

T surface :

Surface temperature (°C)

References

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Correspondence to Pushpendra Mahajan .

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Mahajan, P., Nagarajan, A., Marathe, V. (2020). Optimization for Position of Heat Loop in Refrigerator Using Steady-State Thermal Analysis. In: Li, C., Chandrasekhar, U., Onwubolu, G. (eds) Advances in Engineering Design and Simulation. Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-8468-4_1

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  • DOI: https://doi.org/10.1007/978-981-13-8468-4_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8467-7

  • Online ISBN: 978-981-13-8468-4

  • eBook Packages: EngineeringEngineering (R0)

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