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Viscoelastic model of ethylene glycol with temperature-dependent thermophysical properties

Heat transfer enhancement with nanoparticles

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Abstract

The MHD flow of ethylene glycol with four different nanoparticles has been modeled with the help of upper convected Maxwell model. Throughout the channel, the viscosity and thermal conductivity of the base fluid are assumed to be dependent on the temperature of the fluid. The effect of addition of Cu, Ag, Al\(_2\)O\(_3\) and TiO\(_2\) nanoparticles on the base fluid (ethylene glycol) is investigated for various volume fractions. The effect of variable properties, viscoelasticity, and wall motion on Ag–ethylene glycol nanofluid are studied through relevant non-dimensional parameters with shooting technique. The numerical results show that the variable viscosity and viscoelasticity have a considerable effect on the flow of the fluid, and viscous nanofluid case is in good agreement with earlier literature. It is observed that the temperatures and Nusselt numbers of metallic oxide nanofluids are greater than the metallic nanofluids in both expanding and squeezing regimes.

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Abbreviations

h :

Origin-to-wall distance (m), \(H\sqrt{(1 - \eta t)}\)

\(\eta\) :

Wall motion parameter \((\hbox {s}^{-1})\)

\(v_{\mathrm{w}}\) :

Velocity of the wall \((\hbox {m\,s}^{-1}\))

\(T_{{\mathrm{r}}}\) :

Reference temperature at the walls (\(^{\circ }\hbox {C}\) )

\(T_0\) :

Temperature (\(^{\circ }\hbox {C}\)) at \(y=0\)

\(T_{\mathrm{S}}\) :

Temperature ratio \(T_0\)/\(T_{{\mathrm{r}}}\)

\(\rho\) :

Density of the fluid (\(\hbox {Kg\, m}^{-3}\))

\(\beta\) :

Relaxation parameter (\(\hbox {s}^{-1}\))

P :

Pressure (\(\hbox {Kg\, m \,s}^{-2}\))

\(\mu\) :

Viscosity of the fluid (\(\hbox {Kg\, m}^{-1}\, \hbox {s}^{-1}\))

\(A_1\) :

Variable viscosity parameter

\(\nu\) :

Kinematic viscosity (\(\hbox {m\, s}^{-1}\))

\(\sigma\) :

Electrical conductivity of the fluid (\(\hbox {S\, m}^{-1}\))

\(B_0\) :

Magnetic field strength (\(\hbox {Wb\, m}^{2}\))

c :

Specific heat constant; (\({\rm J\,kg}^{-1}\,{\rm K}^{-1}\))

k :

Thermal conductivity (\(\hbox {W\, m}^{-1}\, \hbox {K}^{-1}\))

\(A_2\) :

Variable thermal conductivity parameter

\(\chi\) :

Volume fraction parameter

\(\delta\) :

Axial length variable, \(\frac{H}{x}\)

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Acknowledgements

The authors are thankful to the Defence Institution of Advanced Technology (Deemed University) for providing necessary monetary and infrastructural resources required for the research. One of the authors (PKK) is thankful to the University grants commission for funding his research [F.2-18/2012(SA-I)].

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  1. Department of Applied Mathematics, Defence Institute of Advanced Technology University (Deemed University), Pune, 411025, India

    Pravin Kashyap Kambhatla, Odelu Ojjela & Samir Kumar Das

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  1. Pravin Kashyap Kambhatla
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Correspondence to Odelu Ojjela.

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Kambhatla, P.K., Ojjela, O. & Das, S.K. Viscoelastic model of ethylene glycol with temperature-dependent thermophysical properties. J Therm Anal Calorim 135, 1257–1268 (2019). https://doi.org/10.1007/s10973-018-7476-4

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