2000
DOI: 10.1115/1.1358844
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Direct Numerical Simulation of Flow and Heat Transfer From a Sphere in a Uniform Cross-Flow

Abstract: Direct numerical solution for flow and heat transfer past a sphere in a uniform flow is obtained using an accurate and efficient Fourier-Chebyshev spectral collocation method for Reynolds numbers up to 500. We investigate the flow and temperature fields over a range of Reynolds numbers, showing steady and axisymmetric flow when the Reynolds number is less than 210, steady and nonaxisymmetric flow without vortex shedding when the Reynolds number is between 210 and 270, and unsteady three-dimensional flow with v… Show more

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Cited by 90 publications
(70 citation statements)
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“…Because a full system of HIBM & MPM equations was solved (on the assumption that solid body has a high rigidity) this test validates FSI algorithm. For the validation of the heat transfer problem, a steady flow past a hot sphere was considered and predictions were compared with data of Bagchi et al [45]. The calculated Nusselt numbers are in good agreement with the cited data.…”
Section: Introductionmentioning
confidence: 58%
“…Because a full system of HIBM & MPM equations was solved (on the assumption that solid body has a high rigidity) this test validates FSI algorithm. For the validation of the heat transfer problem, a steady flow past a hot sphere was considered and predictions were compared with data of Bagchi et al [45]. The calculated Nusselt numbers are in good agreement with the cited data.…”
Section: Introductionmentioning
confidence: 58%
“…For any flow problem, the key parameter is the Reynolds number, Re. The fluid flow past a rigid sphere is steady, laminar and axisymmetric for Re ≤ 210 (Clift et al 1978;Johnson and Patel 1999;Bagchi et al 2001). Obviously, these results cannot be directly extrapolated to the present problem.…”
Section: Resultsmentioning
confidence: 86%
“…Drag coefficient, reattachment length, separation angle, Nusselt number and Sherwood number were used to compare the numerical results calculated by our code with data in the literature [9,21,22,31]. Figure 2 shows the calculated averaged Nusslet number Nu av and separation angle θ s as a function of Reynolds number, and compares those values with the experimental data are available in Frössling [9] and Clift et al [21].…”
Section: Numerical Algorithm and Examination Of The Validity Of The Nmentioning
confidence: 95%
“…In such a small Re, flow is laminar and axisymmetric [21,22]. For the liquid phase, it is assumed that the droplet maintains a spherical shape.…”
Section: Mathematical Modelmentioning
confidence: 99%