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Evaluation of thermal conductivity of COOH-functionalized MWCNTs/water via temperature and solid volume fraction by using experimental data and ANN methods

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Abstract

In the present study, the results of several experiments have been used to obtain the thermal conductivity of multi walls carbon nanotubes-water nanofluid. For this purpose, COOH-functionalized MWCNTs nanoparticles have divided into different solid volume fractions in order to disperse in water as the base fluid by different dispersion methods. The thermal conductivity measurement applied in different solid concentrations, up to 1 %, and at the temperatures ranging from 25 to 55 °C. In this paper, based on the experimental data, a new correlation for predicting the thermal conductivity of COOH-functionalized MWCNTs/water nanofluid proposed. After that, for simulating the thermal conductivity of this nanofluid, the artificial neural network is used. For this purpose, multilayer percepetron neural network is used. The network input variables are temperature and solid volume fraction, and the network output variable is thermal conductivity. The results extracted from the artificial neural network show good agreement with the experimental data. The mean square error value is 4.04E−06 that shows excellent performance of artificial neural network to predict thermal conductivity of COOH-functionalized MWCNTs/water nanofluid.

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Abbreviations

k :

Thermal conductivity, Wm−1 K−1

Re:

Reynolds number

T :

Temperature, K

MSE:

Mean square error

RMSE:

Root mean square error

MAE:

Maximum absolute error

MLP:

Feedforward multilayer percepetron

φ :

Solid volume fraction

b:

Base fluid

nf:

Nanofluid

Pred:

Predicted value

Exp:

Experimental value

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Authors and Affiliations

  1. Semnan University, Semnan, Islamic Republic of Iran

    Ali Naderi

  2. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran

    Mohammad Hemmat Esfe, Mohammad Akbari, Masoud Afrand & Arash Karimipour

Authors
  1. Mohammad Hemmat Esfe
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  2. Ali Naderi
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  3. Mohammad Akbari
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  4. Masoud Afrand
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  5. Arash Karimipour
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Correspondence to Mohammad Hemmat Esfe.

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Hemmat Esfe, M., Naderi, A., Akbari, M. et al. Evaluation of thermal conductivity of COOH-functionalized MWCNTs/water via temperature and solid volume fraction by using experimental data and ANN methods. J Therm Anal Calorim 121, 1273–1278 (2015). https://doi.org/10.1007/s10973-015-4565-5

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  • DOI: https://doi.org/10.1007/s10973-015-4565-5

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