Theoretical investigation of laminar flow convective heat transfer in a circular duct for a non-Newtonian nanofluid

Tahiri, Antar; Mansouri, Kacem

doi:10.1016/j.applthermaleng.2016.10.137

Cited by 20 publications

(5 citation statements)

References 39 publications

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“…This study adopts a single-phase approach supposing that the nanoparticles are uniformly dispersed into the base fluid. According to the mixing theory, the effective physical properties of nanofluids can be calculated using some formulations of density, nanofluid viscosity and specific heat capacity [21,23]:…”

Section: Physical Properties Of the Non Newtonian Nanofluidmentioning

confidence: 99%

“…However, in some cases, the shear thickening behavior is observed when the nanoparticles increase. Tahiri and Mansouri [21,22] have studied analytically the convective heat transfer using non-Newtonian nanofluid within circular duct, taking into consideration the effect of viscous dissipation. It's demonstrated that the non-Newtonian nanofluids show a better efficiency in term of heat transfer compared to the Newtonian nanofluids.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution of Non-Newtonian Nanofluid Flows Within Circular Duct under Convective Boundary Condition

Tahiri¹,

Mansouri²,

Kouider³

et al. 2021

MMEP

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At the outset, this work aims to carried out an analytical investigation of forced convection by establishing a laminar flow into circular duct under convective boundary conditions of the third type for non-Newtonian nanofluid, the fluid containing TiO2 uniformly dispersed in aqueous solution with 0.5wt% of CMC solutions (Carboxymethyl Cellulose) is used as working fluid. The viscous dissipation effects are taken into account, the employed methodology is based on a combination of the Ritz variational approach with the Laplace transformation technique, so the power-law fluids flow model is used to describe the non-Newtonian fluid behavior. The effect of dimensionless parameters such as Biot (Bi), Brinkman (Br), Peclet (Pe) numbers, power-law index (n), and nanoparticles concentration (φ) on the temperature distribution contours and on the examined local Nusselt number. Our results have been compared with those found in the literature in particular the cases of base fluids (φ=0) with and without viscous dissipation effects.

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Section: Physical Properties Of the Non Newtonian Nanofluidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Non-Newtonian Nanofluid Flows Within Circular Duct under Convective Boundary Condition

Tahiri¹,

Mansouri²,

Kouider³

et al. 2021

MMEP

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“…As the power law indices are provided, the effective viscosity of the non-Newtonian nanofluid is obtained straightforward using equation (3). The density and the volumetric heat capacitance of the non-Newtonian MWCNT/water nanofluid are computed using the following equations, respectively (Tahiri and Mansouri, 2017; Santra et al , 2009): where φ is the volume fraction of carbon nanotubes.…”

Section: Theoretical Analysismentioning

confidence: 99%

Numerical investigation of laminar forced convection for a non-Newtonian nanofluids flowing inside an elliptical duct under convective boundary condition

Ragueb

Mansouri

2019

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Purpose The purpose of this study is to investigate the thermal response of the laminar non-Newtonian fluid flow in elliptical duct subjected to a third-kind boundary condition with a particular interest to a non-Newtonian nanofluid case. The effects of Biot number, aspect ratio and fluid flow behavior index on the heat transfer have been examined carefully. Design/methodology/approach First, the mathematical problem has been formulated in dimensionless form, and then the curvilinear elliptical coordinates transform is applied to transform the original elliptical shape of the duct to an equivalent rectangular numerical domain. This transformation has been adopted to overcome the inherent mathematical deficiency due to the dependence of the ellipsis contour on the variables x and y. The yielded problem has been successfully solved using the dynamic alternating direction implicit method. With the available temperature field, several parameters have been computed for the analysis purpose such as bulk temperature, Nusselt number and heat transfer coefficient. Findings The results showed that the use of elliptical duct enhances significantly the heat transfer coefficient and reduces the duct’s length needed to achieve the thermal equilibrium. For some cases, the reduction in the duct’s length can reach almost 50 per cent compared to the circular pipe. In addition, the analysis of the non-Newtonian nanofluid case showed that the addition of nanoparticles to the base fluid improves the heat transfer coefficient up to 25 per cent. The combination of using an elliptical duct and the addition of nanoparticles has a spectacular effect on the overall heat transfer coefficient with an enhancement of 50-70 per cent. From the engineering applications view, the results demonstrate the potential of elliptical duct in building light-weighted compact shell-and-tube heat exchangers. Originality/value A complete investigation of the heat transfer of a fully developed laminar flow of power law fluids in elliptical ducts subject to the convective boundary condition with application to non-Newtonian nanofluids is addressed.

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“…Strong heat transfer enhancements are obtained by higher sidewall inclination angles. There are several works (Tahiri and Mansouri, 2017;Minea, 2017;Li et al, 2018) conducted experimentally, analytically and numerically up to now on the nanofluids for various applications. Heris et al (2013) experimentally studied convective heat transfer of Al 2 O 3 -water nanofluid through square cross-sectional duct under constant heat flux in laminar flow.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on turbulent convective heat transfer of nanofluid flow in a square cross-sectioned duct

Şenay

Kaya

Gedik

et al. 2019

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Purpose The purpose of this study is to numerically investigate the heat transfer enhancement by using two different nanofluids flow throughout the square duct under a constant heat flux (500 × 103 W/m2). Design/methodology/approach In numerical computations, ANSYS Fluent code based on the finite volume method was used to solve governing equations by iteratively. Water, Al2O3-water and TiO2-water nanofluids were used for different flow velocities changing 1 m/s to 8 m/s (i.e. Reynolds number varying from 3,000 to 100,000). Findings The results were compared with results published previously in the literature and close agreement was observed especially considering Dittus and Boelter correlation for water. It was found that from the obtained results, increasing flow velocity and volume fractions of nanoparticles has caused to increase Nu number for all cases. Besides, variations of pressure drop, Darcy friction factor are presented graphically and discussed in detail. The results are consistent with a deviation of 1.3 to 15 per cent with the results of other researchers. Originality/value The effects of the Re numbers and volume fractions of nanoparticles (0.01 ≤ Φ ≤ 0.04) on the heat transfer and fluid flow characteristics such as average Nu number, pressure drop (ΔP) and Darcy friction factor (f) were investigated.

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Theoretical investigation of laminar flow convective heat transfer in a circular duct for a non-Newtonian nanofluid

Cited by 20 publications

References 39 publications

Analytical Solution of Non-Newtonian Nanofluid Flows Within Circular Duct under Convective Boundary Condition

Analytical Solution of Non-Newtonian Nanofluid Flows Within Circular Duct under Convective Boundary Condition

Numerical investigation of laminar forced convection for a non-Newtonian nanofluids flowing inside an elliptical duct under convective boundary condition

Numerical investigation on turbulent convective heat transfer of nanofluid flow in a square cross-sectioned duct

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