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Numerical investigation and sensitivity analysis of turbulent heat transfer and pressure drop of Al2O3/H2O nanofluid in straight pipe using response surface methodology

Fadodun Olatomide G., Amosun Adebimpe A., Salau Ayodeji O., Olaloye David O., Ogundeji Johnson A., Ibitoye Francis I., Balogun Fatai A.

Archives of Thermodynamics

2020

Vol. 41, no 1

3--30

In this paper, investigation of the effect of Reynolds number, nanoparticle volume ratio, nanoparticle diameter and entrance temperature on the convective heat transfer and pressure drop of Al2O3/H2O nanofluid in turbulent flow through a straight pipe was carried out. The study employed a computational fluid dynamic approach using single-phase model and response surface methodology for the design of experiment. The Reynolds average Navier-Stokes equations and energy equation were solved using k-ε turbulent model. The central composite design method was used for the response-surface-methodology. Based on the number of variables and levels, the condition of 30 runs was defined and 30 simulations were performed. New models to evaluate the mean Nusselt number and pressure drop were obtained. Also, the result showed that all the four input variables are statistically significant to the pressure drop while three out of them are significant to the Nusslet number. Furthermore, sensitivity analysis carried out showed that the Reynolds number and volume fraction have a positive sensitivity to both the mean Nusselt number, and pressure drop, while the entrance temperature has negative sensitivities to both.

Review of turbulence modelling methods for single phase flows

Drobniak S., Jarża A.

Turbulence : international journal

1998

Vol. 4

67-81

The paper presents the overview of the approaches to the problem of mathematical turbulence modelling, which were developed up to now. The achievements and limitations of classical turbulence models, starting from the Bousinesq's concept of eddy viscosity, through algebraic prescriptions of mixing length to the modelling of differential transport equations have been discussed here. The probable future trends in this subject, which embrace the refinements and practical applicability of existing models have been considered to. The special emphasize has been put on the promissing idea of LES method, which may be treated as a temporary substitute for direct numerical solution of N-S equations.