Local heat supply influence on a flow over a sphere

Коган, М. Н.; Иванов, Д. В.; Shapiro, E. Ya.; Yegorov, I. V.

doi:10.2514/6.2000-209

Cited by 25 publications

(2 citation statements)

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“…Hence, for the system to have a non-zero solution, a i,i must be equal to zero. Therefore, we can regard a i,i as a function of (k, Re, c) and apply an iterative method (we used a modified Newton-Raffson method with regularization multiplier described, for example, in Kogan et al (2000) to find roots of a i,i (c) Z0 for given (k, Re). The code built based on the proposed scheme was tested against results published by Orzag (1971), Blennerhassett (1980) and Yiantsios & Higgins (1988) and demonstrated good accuracy and convergence characteristics.…”

Section: Numerical Scheme and Solution Methodsmentioning

confidence: 99%

On the patterns of interaction between shear and interfacial modes in plane air–water Poiseuille flow

Shapiro

Timoshin

2005

Proc. R. Soc. A.

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The current work deals with the numerical analysis of linear stability problems in a stratified plain Poiseuille flow of air over water with equal layer heights. The interaction and branch exchange between Tollmien-Schlichting instability in air and interfacial instability is discovered and investigated. This effect is shown to stabilize disturbances with wavelengths of the order of channel height for interfacial waves and to produce a closed stable region inside the neutral curve of the interfacial mode. The behaviour of three unstable modes in the problem, corresponding to Tollmien-Schlichting type instability in air and water layers and interfacial instability respectively, has been studied in detail. Neutral conditions for all three modes and the stable region have been calculated.

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Section: Numerical Scheme and Solution Methodsmentioning

confidence: 99%

On the patterns of interaction between shear and interfacial modes in plane air–water Poiseuille flow

Shapiro

Timoshin

2005

Proc. R. Soc. A.

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“…Many studies, both computational and experimental have shown the efficacy of upstream energy deposition for shock wave modification (and resulting drag reduction) on blunt bodies (20)(21)(22)(23)(24) as well as potential drag reductions for forward-facing upstream injection (25)(26)(27)(28)(29)(30)(31) . Forward facing injection from blunt bodies in high-speed flows when coupled with upstream deposition of energy has recently been shown to result in large decreases in overall drag and heat transfer (32) .…”

Section: Upstream Energy Deposition and Upstream-directed Fluid Injecmentioning

confidence: 99%

Methods for the design of energy efficient high speed aerospace vehicles

et al. 2007

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This paper continues development of the fundamental analytical science, methodology and tools required for the analysis, design, and optimisation of high speed aerospace vehicles in terms of the efficient use of on-board energy. Specifically, it presents the complete second-law characterisation and related system-level energy management effectiveness for high-speed vehicles (coupling both aerodynamic and propulsive subsystems). Modelling of the fluid dynamics utilises high-level (multi-dimensional) flow-fields representative of generic configurations of interest. Capability has been recently developed which allows detailed second-law performance audits in terms of the 'common currency' of entropy generation for high-speed vehicles (involving complete synthesis of both internal and external flow-fields, i.e. both aerodynamic and propulsive sub-systems). This capability is now extended to encompass and utilise multi-dimensional flow-fields generated by computational fluid dynamics solvers, including Navier-Stokes solvers. Furthermore, the methodology is shown in this paper to provide insight and fundamental direction for management of onboard energy ('price paid') for maximum performance missions.

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