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Effect of aiding buoyancy on heat transfer from an isothermal square cylinder in power-law fluids

Mishra Pragya, Mishra Lubhani, Tiwari Anurag Kumar

Chemical and Process Engineering

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2022

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Vol. 43, nr 2

265–-270

EN

The aim of the present study was to explore the influence of aiding buoyancy on mixed convection heat transfer in power-law fluids from an isothermally heated unconfined square cylinder. Extensive numerical results on drag coefficient and surface averaged values of the Nusselt number are reported over a wide range of parameters i.e. Richardson number, 01 Ri 5, power-law index, 04 𝑛 18, Reynolds number, 01 Re 40, and Prandtl number, 1 Pr 100. Further, streamline profiles and isotherm contours are presented herein to provide an insight view of the detailed flow kinematics

2

Numerical computation of low Reynolds number viscous flow past bluff bodies

Tarafder Md. Shahjada, Mursaline Miad Al

International Journal of Applied Mechanics and Engineering

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2020

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Vol. 25, no. 3

133--157

EN

This article presents a two-dimensional steady viscous flow simulation past circular and square cylinders at low Reynolds numbers (based on the diameter) by the finite volume method with a non-orthogonal body-fitted grid. Diffusive fluxes are discretized using central differencing scheme, and for convective fluxes upwind and central differencing schemes are blended using a ‘deferred correction’ approach. A simplified pressure correction equation is derived, and proper under-relaxation factors are used so that computational cost is reduced without adversely affecting the convergence rate. The governing equations are expressed in Cartesian velocity components and solution is carried out using the SIMPLE algorithm for collocated arrangement of variables. The mesh yielding grid-independent solution is then utilized to study, for the very first time, the effect of the Reynolds number on the separation bubble length, separation angle, and drag coefficients for both circular and square cylinders. Finally, functional relationships between the computed quantities and Reynolds number (Re) are proposed up to Re = 40. It is found that circular cylinder separation commences between Re= 6.5-6.6, and the bubble length, separation angle, total drag vary as Re, Re-0.5, Re-0.5 respectively. Extrapolated results obtained from the empirical relations for the circular cylinder show an excellent agreement with established data from the literature. For a square cylinder, the bubble length and total drag are found to vary as Re and Re-0.666, and are greater than these for a circular cylinder at a given Reynolds number. The numerical results substantiate that a square shaped cylinder is more bluff than a circular one.

3

The influence of boundary condition functions on the quality of the solution and its sensitivity to coefficients of k-? turbulence models

Błazik-Borowa E.

Budownictwo i Architektura

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2011

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vol. 8, nr 1

15-26

EN

The paper is devoted to the problem of boundary conditions influence on the quality of the solution obtained with use of k-? turbulence models. There are calculation results for different boundary conditions and two methods: standard k-? and RNG k-? in the paper. The flow parameters obtained from the calculation are compared with our own measurement results. Moreover, the influence of input data on the inflow edge on sensitivity coefficients is shown and analysed in the paper. The research is performed for components of velocity and turbulence kinetic energy.