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Dynamic viscosity analysis of hybrid nanofluid MWCNT- Al2O3/engine oil using statistical models with evaluating its performance in a double tube heat exchanger

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Abstract

Hybrid nanofluids are a new generation for improved and more controlled heat transfer. In this research, firstly, the effects of volume concentration in the range of 0.13–1%, temperature between 5 °C and 55 \(^\circ C\), and spindle rotation speed in the range of 200–600 rpm are first experimentally assessed on the dynamic viscosity of a hybrid nanofluid composed of multi-walled carbon nanotube (15%) and aluminum oxide (85%) nanoparticles suspended in engine oil. Then, a relationship is obtained for dynamic viscosity related to volume fraction, temperature, and spindle rotation speed. The general linear model (GLM) powered by analysis of variance (ANOVA) and response surface methodology (RSM) statistical model is also employed to identify the essential factors of the experiment and define correlations to predict the results, respectively. The statistical regression achieves a correlation of 80% by a linear model, 97% by a quadratic model, and 98% by a nonlinear model. Finally, as the novelty of the work, the nanofluid is implemented experimentally in a double tube heat exchanger with a spiral baffle. This part of the research evaluates the effects of parameters such as hot and cold working fluids' flow rates and intake temperatures. The results indicate that temperature and mass fraction impact viscosity more than shear rate. The non-Newtonian behavior of the studied hybrid nanofluid is observed for temperatures of 5 °C and 15 °C. The predictions are reasonably accurate. The study demonstrated that the best heat exchanger effectiveness could be achieved when all nanofluid flow and moderate to high water flow rates are considered hot and cold working fluids, respectively.

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Abbreviations

a :

Accuracy of the measurement equipment

A :

Total heat transfer area

Adj MS:

Adjusted mean of squares

Adj SS:

Adjusted sum of squares

C p :

Specific heat (kJ kg−1 K−1)

\(f\) :

Predicted response

\(\Delta t_{{\text{m}}}\) :

Mean logarithmic temperature difference

DF:

Degree of freedom

F :

F-Statistic

\(\dot{m}\) :

Mass flow rate (kg s−1)

P :

P-value

\(\dot{Q}\) :

Heat transfer rate (W)

Seq SS:

Sequential sum of squares

SS:

Sum of Squares

T :

Temperature (°C)

U :

Heat transfer coefficient of heat exchanger (W m−2 K−1)

u :

Uncertainty

x :

Independent variable for uncertainty analysis

\(X_{\rm i}\) :

Uncoded values of the process variables

y :

Dependent variable for uncertainty analysis

\(y_{\rm i}\) :

ith Observed data

\(\mu_{\rm nf}\) :

Dynamic viscosity of nanofluid (cP)

\(\gamma\) :

Spindle rotation speed (rpm)

\(\varphi\) :

Volume fraction

\(\varepsilon_{\rm th}\) :

Thermal effectiveness of heat exchanger

c :

Cold flow

h :

Hot flow

in :

Inlet

out :

Outlet

res :

Residual sum of squares

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Heydari, A., Goharimanesh, M. & Gharib, M.R. Dynamic viscosity analysis of hybrid nanofluid MWCNT- Al2O3/engine oil using statistical models with evaluating its performance in a double tube heat exchanger. J Therm Anal Calorim 148, 8025–8039 (2023). https://doi.org/10.1007/s10973-022-11608-w

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