Solution of the Incompressible Turbulent Boundary-Layer Equations With Heat Transfer

Cebeci, Tuncer; Smith, A. M. O.; Mosinskis, G.

doi:10.1115/1.3449606

Cited by 22 publications

(5 citation statements)

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“…Figure 9 shows the predictions of skin-friction for BT flow with the different turbulence models described above. In the fully turbulent region where acceleration is not very high (x < x 0 ), both MLM and MLM-PG (MLM with pressure-gradient modifications suggested in [24]) show good match with the experimental data but all of them fail conspicuously in the relaminarizing region. MLM-PG does only slightly better than MLM in this region.…”

Section: Turbulent Boundary Layermentioning

confidence: 70%

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An Assessment of the Two-Layer Quasi-Laminar Theory of Relaminarization Through Recent High-Re Accelerated Turbulent Boundary Layer Experiments

Ranjan

Narasimha

2017

Journal of Fluids Engineering

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The phenomenon of relaminarization is observed in many flow situations, including that of an initially turbulent boundary layer subjected to strong favourable pressure gradients. Available turbulence models have hitherto been unsuccessful in correctly predicting boundary layer parameters for such flows. Narasimha and Sreenivasan [1] proposed a quasilaminar theory (QLT) based on a two-layer model to explain the later stages of relaminarization. This theory showed good agreement with the experimental data available, which at the time was at relatively low Re. QLT, therefore, could not be validated at high Re.Some of the more recent experiments report for the first time comprehensive studies of a relaminarizing flow at relatively high Reynolds numbers (of order 5 × 10 3 in momentum thickness), where all the boundary layer quantities of interest are measured. In the present work, the two-layer model is revisited for these relaminarizing flows with an improved code in which the inner-layer equations for quasi-laminar theory have been solved exactly. It is shown that even for high-Re flows with high acceleration, QLT provides a much superior match with the experimental results than the standard turbulent boundary layer codes. This agreement can be seen as strong support for QLT, which therefore has the potential to be used in RANS simulations along with turbulence models.

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Section: Turbulent Boundary Layermentioning

confidence: 70%

“…The wall layer MLM is the well-known Prandtl-Van Driest mixing length model, with damping length constant A + = 26. Cebeci and Smith [24] introduced modifications in this model to account for the pressure gradient in the flow, taking the constant as A + = 26/N, where N = (1 + 11.8∆ p ) 1/2 .…”

Section: Turbulent Boundary Layermentioning

confidence: 99%

An Assessment of the Two-Layer Quasi-Laminar Theory of Relaminarization Through Recent High-Re Accelerated Turbulent Boundary Layer Experiments

Ranjan

Narasimha

2017

Journal of Fluids Engineering

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“…The complexity inherent in the calculation of boundary layers has motivated researchers to improve existing numerical procedures until accurate numerical predictions of the experimental data, coupled with small computing costs could be met. Typical studies can be found in Pletcher (1969), Patankar and Spalding (1970), Cebeci et al (1970), Dyban and Fridman (1987), Zincheno and Fedorova (1987), Shishov (1991), Susec and Oljaca (1995), Hori and Yata (1997), Volino and Simon (1997) and Silva Freire (1999). In these works, quite satisfactory numerical results have been obtained for both skin friction and heat transfer coefficients in turbulent boundary layers of incompressible fluids.…”

Section: Introductionmentioning

confidence: 86%

Numerical study of turbulent flow with heat removal from a flat plate using the finite volume‐based method of lines

Campo

2001

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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A hybrid computational method has been developed for the calculation of momentum and heat transfer in turbulent boundary layer flows along flat plates. The proposed method, the finite volume‐based method of lines, replaces a partial differential equation and two independent variables by a system of ordinary differential equations of first order and one independent variable. Using the simplest assumptions for modeling the turbulent diffusivity of momentum and heat, the system of differential equations may be readily integrated with a fourth‐order Runge‐Kutta algorithm. To validate the numerical predictions, comparisons with experimental data for air have been done in terms of axial velocities, temperatures, skin friction coefficients and Stanton numbers. For the wide range of Reynolds numbers tested, the hydrodynamic and thermal characteristics of turbulent air flows are predicted correctly.

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“…The absence of any statement regarding initial conditions is particularly a problem when interpreting the results of a method like Cebeci's (1,8,9). His method is started from a leading edge or virtual origin and is terminated when the numerical solution "matches" experimental data.…”

Section: The Solutionmentioning

confidence: 99%

Numerical Analysis of Turbulent Flow Along an Abruptly Rotated Cylinder

Aguilar

Pierce

1979

Journal of Fluids Engineering

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A parabolic system of equations governing turbulent, incompressible fluid motion along a stationary cylinder fitted with a rotating aft-section is solved with an implicit finite-difference algorithm. The mean flow is steady, axisymmetric, and characterized by abrupt skewing of the boundary layer. The equations of mean motion are closed with an eddy viscosity model based on Cebeci’s axisymmetric formulation. The analysis is compared with the experimental results of Bissonnette and Mellor, who have obtained data for ratios of cylinder wall speed to free-stream speed equal to 0.936 and 1.800. Predicted components of wall shear stress agree with the experimental values within the uncertainty associated with the experiment, and early boundary-layer development is predicted reasonably well. However, the analysis fails to predict the experimentally observed acceleration of the mean, axial flow.

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Solution of the Incompressible Turbulent Boundary-Layer Equations With Heat Transfer

Cited by 22 publications

References 0 publications

An Assessment of the Two-Layer Quasi-Laminar Theory of Relaminarization Through Recent High-Re Accelerated Turbulent Boundary Layer Experiments

An Assessment of the Two-Layer Quasi-Laminar Theory of Relaminarization Through Recent High-Re Accelerated Turbulent Boundary Layer Experiments

Numerical study of turbulent flow with heat removal from a flat plate using the finite volume‐based method of lines

Numerical Analysis of Turbulent Flow Along an Abruptly Rotated Cylinder

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