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Sensitivity analysis of entropy production in Al2O3/H2O nanofluid through converging pipe

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Abstract

This work numerically investigated entropy production rate in Al2O3/H2O nanofluid flowing through a convergent pipe in laminar flow regime using computational fluid dynamic and response surface methodology. A parametric study was carried out on Reynolds number (400–2000), nanoparticle concentration (0–3%) and convergence angle (0°, 2.5°, 5° and 7.5°) on entropy production rate and Bejan number. Based on the number of variables and levels, the condition of 20 runs was defined and 20 simulations were performed. The result showed that the increase in Reynolds number and converging angle decreases the entropy production rate. Also, the result of ANOVA revealed that Reynolds number, converging angle and interaction between them are statistically significant to the entropy production rate. Furthermore, sensitivity analysis carried out on the regression model showed that the convergence angle is the most sensitive parameter among the three.

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Abbreviations

\(c_{\text{p}}\) :

Specific heat capacity at constant pressure (J kg−1 K−1)

D h :

Diameter of the pipe (m)

d f :

Diameter of water molecule (nm)

\(f\) :

Friction factor

\(h\) :

Coefficient of heat transfer (W m−2 K)

\({\text{Nu}}\) :

Nusselt number

\(\Pr\) :

Prandtl number of base fluid

Re:

Reynolds number

Rep :

Nanoparticle Reynolds number

\(S_{\text{total}}^{{{\prime \prime \prime }}}\) :

Total entropy production per unit volume

\(S_{\text{vis}}^{{{\prime \prime \prime }}}.\) :

Viscous entropy production per unit volume

\(S_{\text{ther}}^{{{\prime \prime \prime }}}\) :

Thermal entropy production per unit volume

\(T_{\text{in}}\) :

Inlet temperature of base fluid (K)

u r, u x :

Component velocity (m s−1)

\(\alpha\) :

Thermal diffusivity (m2 s−1)

\(\lambda\) :

Thermal conductivity (W m−1 K−1)

μ :

Dynamic viscosity (kg ms−1)

φ :

Nanoparticle volume fraction

ρ :

Density of base fluid (kg m−3)

f:

Base fluid

fr:

Freezing point

in:

Inlet

nf :

Nanofluid

p:

Nanoparticle

ther:

Thermal

vis:

Viscous

total:

Total

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Authors and Affiliations

  1. Centre for Energy Research and Development, Obafemi Awolowo University, Ife, Nigeria

    Olatomide G. Fadodun, Adebimpe A. Amosun & Johnson A. Ogundeji

  2. Department of Physics, Obafemi Awolowo University, Ife, Nigeria

    David O. Olaloye

  3. Department of Physics, Legacy University Okija, Okija, Nigeria

    Nonso L. Okoli

  4. Department of Industrial Physics, Chukwuemeka Odumegun Ojukwu University, Uli, Nigeria

    Nonso L. Okoli

  5. Department of Chemistry, Obafemi Awolowo University, Ife, Nigeria

    Solomon S. Durodola

Authors
  1. Olatomide G. Fadodun
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  2. Adebimpe A. Amosun
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  4. David O. Olaloye
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Correspondence to Olatomide G. Fadodun.

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Fadodun, O.G., Amosun, A.A., Okoli, N.L. et al. Sensitivity analysis of entropy production in Al2O3/H2O nanofluid through converging pipe. J Therm Anal Calorim 143, 431–444 (2021). https://doi.org/10.1007/s10973-019-09163-y

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