Investigating the characteristics of flow past an elliptic moving belt

The three-dimensionality has a significant effect on the flow-field and heat transfer, especially when the geometry is affected by thermal buoyancy. In the present research, the interaction of three-dimensionality, thermal buoyancy, and vortex shedding on the flow around an isothermal horizontal cylinder and its mixed convection heat transfer were numerically investigated. Both the secondary flow due to the thermal buoyancy and the free stream had an upward direction. The problem was simulated in a constant Prandtl number of 0.7, a range of Reynolds numbers (based on the cylinder's diameter) between 100 and 300, and Richardson numbers ranging between 0 and 0.5. The aspect ratio of the cylinder was 6. The numerical simulation of the problem was based on the discretization of the Navier–Stokes, energy, and k–ω SST turbulence equations. A finite-volume and pressure-based method with second-order spatial and temporal accuracy was utilized. The momentum, energy, and turbulence equations were explicitly solved, while the pressure equation was solved, implicitly. Comparison of the two-dimensional and three-dimensional simulations showed that the thermal buoyancy had a significant impact on the flow three-dimensionality, so that the flow could become three-dimensional even at low Reynolds numbers such as Re = 130. In addition, the results demonstrated that for each Reynolds number, there was a critical Richardson number where the mean drag coefficient and Nusselt number reached their minimum value. Moreover, for Richardson numbers higher than the critical value, the flow entered a new low amplitude vortex shedding mode.

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A numerical study on unsteadiness of vertical flow around a horizontal heated square cylinder with variable thermal buoyancy

Yazdani,

Salimipour,

Sheremet

et al. 2024

Physics of Fluids

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Analyzing the unsteadiness of flow is crucial due to its significant influence on flow characteristics, and at times, it can even alter the flow pattern entirely. In this research, the effects of two distinct types of unsteadiness—thermal buoyancy and vortex shedding—were examined in the context of laminar flow around a square cylinder. Initially, the impact of each unsteady phenomenon on the flow was studied independently. Subsequently, the combined influence of both unsteady factors on the flow was assessed. The Navier–Stokes equations are solved using a finite-volume approach, which discretizes the computational domain into small control volumes. This technique integrated a pressure-based method with a symmetry-preserving technique, which minimizes numerical diffusion, making it well-suited for accurately capturing flow instabilities. An in-house solver was developed specifically for this purpose. The calculations were conducted for Richardson numbers (Ri) ranging from 0 to 0.35 and for three different Prandtl numbers (Pr) of 0.2, 0.7, and 2.5, all at a Reynolds number (Re) of 100. Vortex shedding, referred to as type 1 unsteadiness, occurs naturally at Re = 100. To induce type 2 unsteadiness, Richardson numbers were varied according to a sinusoidal equation. The findings revealed that the drag coefficient of the cylinder is significantly affected by the frequency of Richardson numbers' variation. As the variation frequency decreased, the difference in drag coefficients during the increasing and decreasing phases of Ri also diminished.

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Investigating the characteristics of flow past an elliptic moving belt

Cited by 3 publications

References 27 publications

On the moving surface impact on flow field and aerodynamic performance of a thick airfoil

On the moving surface impact on flow field and aerodynamic performance of a thick airfoil

Three-dimensionality effects on the flow past a horizontal heated cylinder under mixed convection heat transfer

A numerical study on unsteadiness of vertical flow around a horizontal heated square cylinder with variable thermal buoyancy

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