Experimental and Theoretical Investigations of a Triple Vortex Combustor with Spatial Arc

Matveev, Igor B.; Matveeva, Svetlana; Kirchuk, Evgeniy; Serbin, Serhiy

doi:10.2514/6.2008-963

Cited by 6 publications

(2 citation statements)

References 5 publications

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“…For modeling of physical and chemical processes inside the hybrid-type PACRS with a plasma pilot/sustainer and a spatial arc, a generalized method based on the numerical solution of the combined conservation and transport equations for a multicomponent chemically reactive turbulent system was employed [9]- [16]. This method provides a procedure of numerical in-tegration of differential equations, which describe reacting viscous gas flows.…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Theoretical and Experimental Investigations of the Plasma-Assisted Combustion and Reformation System

Matveev¹,

Serbin

2010

IEEE Trans. Plasma Sci.

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Theoretical and experimental investigations of the working processes in a plasma-assisted combustion and reformation system have been conducted. The selected concept can provide higher performance, wider turndown ratios, more efficient propellant utilization, demonstration of potential fuel flexibility, and satisfaction of major gravimetric and volumetric density requirements. Obtained results and recommendations can be used for hybrid-type plasma-assisted system operation modes, including modeling, geometry optimization, prospective propulsion, and power-generation unit designs and engineering.

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Section: Mathematical Modelingmentioning

confidence: 99%

“…The method for the system solution of (1)-(9), the finite-difference scheme, and the solution stability analysis are explained in detail in [10], [11], and [16].…”

Section: Mathematical Modelingmentioning

confidence: 99%

Theoretical and Experimental Investigations of the Plasma-Assisted Combustion and Reformation System

Matveev¹,

Serbin

2010

IEEE Trans. Plasma Sci.

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Exact Beltramian solutions for hemispherically bounded cyclonic flowfields

Williams

Majdalani

2021

Physics of Fluids

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This study focuses on the development of two analytical models that describe the wall-bounded cyclonic flowfield in a hemispherical domain. The closed-form solutions that we pursue are motivated by the need to characterize the swirling bidirectional motion engendered in an upper stage thrust chamber, namely, the VR35K-A VORTEX® engine, conceived and developed by Sierra Nevada Corporation. Our analysis proceeds from the Bragg–Hawthorne formulation, which is quite effective in the treatment of steady, inviscid, and axisymmetric flows. In this work, we show that two rotational solutions may be derived for particular specifications of the stagnation head and tangential angular momentum expressions that appear in the Bragg–Hawthorne equation. Then, with the parental streamfunctions in hand, other properties of interest are deduced and these include the main velocity and pressure variations, vorticities, crossflow velocities, extensional and shearing strain rates, virtual energy dissipation rates, and both axial and polar mantle distributions; the latter consist of pairs of rotating, non-translating interfacial layers, separating the so-called inner and outer bidirectional and bipolar regions, respectively. More specifically, two Beltramian solutions are identified with mantles that appear at 50% and 61.06% of the chamber radius, respectively. By matching the outlet radius of the chamber to the mantle location in the equatorial plane, the outflow is permitted to exit the chamber seamlessly. In both models, the axial and radial velocities vary linearly with the injection speed and a characteristic inflow parameter consisting of a geometric ratio of the inlet area and the chamber radius squared.

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On the generalized Beltramian motion of the bidirectional vortex in a conical cyclone

Majdalani

2022

Physics of Fluids

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This work presents an exact solution of Euler's incompressible equations in the context of a bidirectional vortex evolving inside a conically shaped cyclonic chamber. The corresponding helical flowfield is modeled under inviscid conditions assuming constant angular momentum. By leveraging the axisymmetric nature of the problem, a steady-state solution of the generalized Beltramian type is obtained directly from first principles, namely, from the Bragg–Hawthorne equation in spherical coordinates. The resulting stream function representation enables us to fully describe the ensuing swirl-dominated motion including its fundamental flow characteristics. After identifying an isolated singularity that appears at a cone divergence half-angle of 63.43°, two piecewise formulations are provided that correspond to either fluid injection or extraction at the top section of the conical cyclone. In this process, analytical expressions are readily retrieved for the three velocity components, vorticity, and pressure. Other essential flow indicators, such as the theoretically preferred mantle orientation, the empirically favored locus of zero vertical velocity, the maximum polar and axial velocities, the crossflow velocity, and other such terms, are systematically deduced. Results are validated using limiting process verifications and comparisons to both numerical and experimental measurements. The subtle differences between the present model and a strictly Beltramian flowfield are also highlighted and discussed. The conically cyclonic configuration considered here is relevant to propulsive devices, such as vortex-fired liquid rocket engines with tapered walls; meteorological phenomena, such as tornadoes, dust devils, and fire whirls; and industrial contraptions, such as cyclonic flow separators, collectors, centrifuges, boilers, vacuum cleaners, cement grinders, and so on.

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Experimental and Theoretical Investigations of a Triple Vortex Combustor with Spatial Arc

Cited by 6 publications

References 5 publications

Theoretical and Experimental Investigations of the Plasma-Assisted Combustion and Reformation System

Theoretical and Experimental Investigations of the Plasma-Assisted Combustion and Reformation System

Exact Beltramian solutions for hemispherically bounded cyclonic flowfields

On the generalized Beltramian motion of the bidirectional vortex in a conical cyclone

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