A numerical investigation of laminar forced convection in a solar collector with non-circular duct

Teleszewski, Tomasz Janusz

doi:10.1051/e3sconf/20172200177

Cited by 6 publications

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References 19 publications

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“…The purpose of this work is to present the algorithm of a boundary element method with new integer kernels and to determine the Nusselt numbers for eccentrically rotating cylinders with significant heat generated by viscous dissipation, assuming that the cylinder walls are maintained at a constant temperature. The boundary element method (BEM) achieves relatively high accuracy in many thermal and flow problems (Krol and Białecki, 2003; Teleszewski and Sorko, 2016a, 2018; Teleszewski, 2017a, 2017b; Krawczyk and Teleszewski, 2018).…”

Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation in stokes flow between rotating cylinders using BEM

Teleszewski

2019

HFF

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Purpose The purpose of this paper is to apply the boundary element method (BEM) to Stokes flow between eccentric rotating cylinders, considering the case when viscous dissipation plays a significant role and determining the Nusselt number as a function of cylinder geometry parameters. Design/methodology/approach The problem is described by the equation of motion of Stokes flow and an energy equation with a viscous dissipation term. First, the velocity field and the viscous dissipation term were determined from the momentum equation. The determined dissipation of energy and the constant temperature on the cylinder walls are the conditions for the energy equation, from which the temperature distribution and the heat flux at the boundary of the cylinders are determined. Numerical calculations were performed using the author’s own computer program based on BEM. Verification of the model was carried out by comparing the temperature determined by the BEM with the known theoretical solution for the temperature distribution between two rotating concentric cylinders. Findings As the ratio of the inner cylinder diameter to the outer cylinder diameter (r1/r2) increases, the Nusselt number increases. The angle of inclination of the function of the Nusselt number versus r1/r2 increases as the distance between the centers of the inner and outer cylinders increases. Originality/value The computational results may be used for the design of slide bearings and viscometers for viscosity testing of liquids with high viscosity where viscous dissipation is important. In the work, new integral kernels were determined for BEM needed to determine the viscous dissipation component.

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Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation in stokes flow between rotating cylinders using BEM

Teleszewski

2019

HFF

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Numerical laminar forced convection modelling in a ceramic and concrete solar collector with non-circular duct

Teleszewski

2019

E3S Web Conf.

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The paper presents simulations of laminar forced convection in non-circular piping of flat solar collectors made of ceramics or concrete, which are characterized by a low thermal conduction coefficient. The cross-sections of piping in the shape of a regular polygonal, elliptic, superellipse (Lamé curve) and Cassini oval were used for the calculations. In order to perform the simulation, a simplified two-dimensional model of laminar forced convection in a straight axis duct was used and the issue of H2 (constant axial wall heat flux with uniform peripheral wall heat flux) for materials with low thermal conductivity was applied. The calculations were made using the boundary element method (BEM) in a calculation program written by Fortran by the author. In the work, the number of Poiseuille, Nusselt and dimensionless parameters for the evaluation of heat exchangers such as the area goodness factor and the volume goodness factor were determined in the function of characteristic geometrical parameters of the assumed cross-sectional shapes of the flat solar collector piping.

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Utility of boundary element method for modelling heat flow in floor heating systems

Werner-Juszczuk¹

2019

AIP Conference Proceedings

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A numerical investigation of laminar forced convection in a solar collector with non-circular duct

Cited by 6 publications

References 19 publications

Effect of viscous dissipation in stokes flow between rotating cylinders using BEM

Effect of viscous dissipation in stokes flow between rotating cylinders using BEM

Numerical laminar forced convection modelling in a ceramic and concrete solar collector with non-circular duct

Utility of boundary element method for modelling heat flow in floor heating systems

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