Analysis of coaxial free mixing using the turbulent kinetic energy method

Harsha, P. T.; Lee, S. C.

doi:10.2514/3.6464

Cited by 9 publications

(20 citation statements)

References 6 publications

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“…In the case of model #3 there was flow angularity resulting from 20 21 the induced swirl. Since the pitch angle of the flow with respect to the free stream direction was less than 1°, the axial and tangential velocity components were deduced from…”

Section: Location Of Center Of Lvakementioning

confidence: 99%

Turbulent Wake behind Slender Bodies Including Self-Propelled Configurations

Swanson¹,

Schetz²,

Jakubowski³

1974

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Section: Location Of Center Of Lvakementioning

confidence: 99%

Turbulent Wake behind Slender Bodies Including Self-Propelled Configurations

Swanson¹,

Schetz²,

Jakubowski³

1974

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“…In the studies mentioned above, a 1 took on a value of 0.3 if τ/ρ calculated using measured (q 2 /2) in Equation ( 1) was required to give the best correlation with measurements. This value of a 1 has been tested by Bradshaw et al [9,10], Lee and Harsha [5], Harsha and Lee [6] and Harsha [7]. Consistently good agreement was obtained for a wide range of isothermal free turbulent shear flows that include two-dimensional (2-D) as well as axisymmetric wakes and jets, coaxial jets and jets in moving streams.…”

Section: Introductionmentioning

confidence: 59%

“…At this point, it should be pointed out that the analytically derived equations are valid for all Re, while Equation (1) and a 1 might only be valid for the Re range of the atmospheric data used to deduced Equation (1). Even then, the approach has been adopted by Laster [4], Lee and Harsha [5], Harsha and Lee [6][7][8] in their simulations of free mixing layers and free shear flows. In addition, Harsha and Lee [7,8] determined a 1 by correlating measurements of τ/ρ with (q 2 /2) for a variety of free turbulent mixing flows.…”

Section: Introductionmentioning

confidence: 99%

“…Even then, the approach has been adopted by Laster [4], Lee and Harsha [5], Harsha and Lee [6][7][8] in their simulations of free mixing layers and free shear flows. In addition, Harsha and Lee [7,8] determined a 1 by correlating measurements of τ/ρ with (q 2 /2) for a variety of free turbulent mixing flows. They obtained a value of a 1 = 0.3 for Equation (1).…”

Section: Introductionmentioning

confidence: 99%

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An Analytically Derived Shear Stress and Kinetic Energy Equation for One-Equation Modelling of Complex Turbulent Flows

2021

Symmetry

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The Reynolds stress equations for two-dimensional and axisymmetric turbulent shear flows are simplified by invoking local equilibrium and boundary layer approximations in the near-wall region. These equations are made determinate by appropriately modelling the pressure–velocity correlation and dissipation rate terms and solved analytically to give a relation between the turbulent shear stress τρ and the kinetic energy of turbulence (k =q22). This is derived without external body force present. The result is identical to that proposed by Nevzgljadov in A Phenomenological Theory of Turbulence, who formulated it through phenomenological arguments based on atmospheric boundary layer measurements. The analytical approach is extended to treat turbulent flows with external body forces. A general relation τρ = a11 - AFRiFq22 is obtained for these flows, where FRiF is a function of the gradient Richardson number RiF, and a1 is found to depend on turbulence models and their assumed constants. One set of constants yields a1= 0.378, while another gives a1= 0.328. With no body force, F ≡ 1 and the relation reduces to the Nevzgljadov equation with a1 determined to be either 0.378 or 0.328, depending on model constants set assumed. The present study suggests that 0.328 is in line with Nevzgljadov's proposal. Thus, the present approach provides a theoretical base to evaluate the turbulent shear stress for flows with external body forces. The result is used to reduce the k–e model to a one-equation model that solves the k-equation, the shear stress and kinetic energy equation, and an e evaluated by assuming isotropic eddy viscosity behavior.

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“…The turbulent scalar intensity %(=p) still appears as an unknown in Eqns (95) -- (102) production molecular…”

Section: __mentioning

confidence: 99%

Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

Kumar

1983

Fire and Materials

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This review concerns the mathematical modelling of fire phenomena. The fire is treated as a heat and mass source driving a fluid flow process. Combustion is not included. It deals in detail with the field modelling approach incorporating the effects of turbulence, strong buoyancy and variable density on the transport of momentum, heat and mass. For the sake of simplicity, other effects such as those due to the interactions of the above mechanisms with the wall, radiation, etc., which may be crucial to the dynamics of the fire phenomenon, are not dealt with in this review. These effects will be the subject of future work.

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Analysis of coaxial free mixing using the turbulent kinetic energy method

Cited by 9 publications

References 6 publications

Turbulent Wake behind Slender Bodies Including Self-Propelled Configurations

Turbulent Wake behind Slender Bodies Including Self-Propelled Configurations

An Analytically Derived Shear Stress and Kinetic Energy Equation for One-Equation Modelling of Complex Turbulent Flows

Mathematical modeling of natural convection in fire—A state of the art review of the field modelling of variable density turbulent flow

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