Approximate method for calculating convective heat flux on the surface of bodies of simple geometric shapes

Kuzenov, Victor V.; Ryzhkov, Sergei V.

doi:10.1088/1742-6596/815/1/012024

Cited by 28 publications

(13 citation statements)

References 13 publications

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“…where p 1 , p 2 are the first coefficients of the expansion of the function Y (ξ) into a truncated Lagrange -Burman series [8,9]. Note [7] that, under the condition f (ξ) = ξ, the coefficients p 1 , p 2 pass into the coefficients of the ordinary Taylor series for the corresponding powers of the monomial (ξ − ξ i ).…”

Section: Mathematical Modeling Of Plasma Dynamics For Processes In Camentioning

confidence: 99%

Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges

Kuzenov¹,

Ryzhkov²

2019

Nelin. Dinam.

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A statement of the problem is presented and numerical modeling of plasma-gas-dynamic processes in the capillary discharge plume is performed. In the developed model, plasma dynamic processes in a capillary discharge are determined by the intensity, duration of plasma formation processes in the capillary discharge channel, and thermodynamic parameters in the surrounding gaseous medium. The spatial distribution of temperature, density and pressure, radial and longitudinal velocities of pulsed jets of several capillary discharge channels is presented. RUSSIAN JOURNAL OF NONLINEAR DYNAMICS, 2019, 15(4), 543-550 544 V. V. Kuzenov, S. V. Ryzhkov structures (which form near the boundary of a pulsed jet) and a capillary discharge torch in the air atmosphere.When carrying out these calculations, the capillary discharge channel was not considered, and the gas-dynamic parameters flowing into the flooded space of the pulsed plasma jet were estimated as follows. In a first approximation, the mathematical model of plasmodynamic processes inside a channel of a capillary discharge can be constructed from the condition that the energy deposited from a capacitive storage is emitted by an optically dense plasma, and all electrical energy is transferred to the thermal energy of the plasma, which expires with sound velocity through a section of a capillary discharge.Plasma-dynamic processes occurring in a plasma torch of a capillary discharge can be determined using the system of equations of viscous two-temperature radiation plasma dynamics. The numerical method for the equations of plasma dynamics is based on the method of fractional steps. The numerical solution is also described in [3,4].

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Section: Mathematical Modeling Of Plasma Dynamics For Processes In Camentioning

confidence: 99%

Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges

Kuzenov¹,

Ryzhkov²

2019

Nelin. Dinam.

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“…Therefore, we have the equation where 17) we assume that and μ 0 = 1 2 for the incompressible material (σ 1 = 0), the MKdV -B equation…”

Section: The Fluid Flow Stress Acting On the Shell Surfacementioning

confidence: 99%

“…The stress exerted by the fluid on the rigid body, friction and pressure are determined. Thus, it is assumed that there is no influence of the deformation of the shell on the movement of the fluid [15][16][17][18][19]. The parameters obtained are substituted into the equations of the dynamics of an elastic body, then longitudinal and normal (deflection) displacements are found.…”

Section: Introductionmentioning

confidence: 99%

The Study of Wave Propagation in a Shell with Soft Nonlinearity and with a Viscous Liquid Inside

Mogilevich¹,

Иванов²

2019

Nelin. Dinam.

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This article is devoted to studying longitudinal deformation waves in physically nonlinear elastic shells with a viscous incompressible fluid inside them. The impact of construction damping on deformation waves in longitudinal and normal directions in a shell, and in the presence of surrounding medium are considered. The presence of a viscous incompressible fluid inside the shell and the impact of fluid movement inertia on the wave velocity and amplitude are taken into consideration. In the case of a shell filled with a viscous incompressible fluid, it is impossible to study deformation wave models by qualitative analysis methods. This makes it necessary to apply numerical methods. The numerical study of the constructed model is carried out by means of a difference scheme analogous to the Crank-Nickolson scheme for the heat conduction equation. The amplitude and velocity do not change in the absence of surrounding medium impact, construction damping in longitudinal and normal directions, as well as in the absence of fluid impact. The movement occurs in the negative direction, which means that the movement velocity is subsonic. The numerical experiment results coincide with the exact solution, therefore, the difference scheme and the modified Korteweg-de Vries-Burgers equation are adequate.

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“…Этот метод основан (для «гиперболической» части системы уравнений (1)-(7)) на нелинейной квазимонотонной компактно-полиномиальной разностной схеме повышенного порядка точности, а для «параболической» части системы уравнений на новом (он позволяет выполнять расчеты в случаях интенсивных разрывов в транспортных коэффициентах) численном методе решения уравнения диффузии магнитного поля и уравнения теплопроводности с помощью монотонизированной разностной схемы повышенного порядка точности. Разработанная численная методика была верифицирована с помощью решения ряда тестовых (модельных) задач [43,42]. «Гиперболическая» (конвективная) части компьютерной модели мишеней МИТС тестировалась на одномерном варианте задачи Римана (задача Сода) о распаде неустойчивого разрыва заданной конфигурации.…”

Section: результаты расчетаunclassified

“…«Гиперболическая» (конвективная) части компьютерной модели мишеней МИТС тестировалась на одномерном варианте задачи Римана (задача Сода) о распаде неустойчивого разрыва заданной конфигурации. Сопоставление точного и приближенного решения показало, что отличие составляет не более процента [42,44]. Верификационные расчеты были проведены с целью оценки степени затухания системы отраженных ударных волн и показали, что ошибка расчета находится в пределах экспериментальной точности результатов и может достигать уровня 10 %.…”

Section: результаты расчетаunclassified

Development of Methods and Modeling of Individual Characteristics of the Target of Magnetic Inertial Synthesis under Combined Exposure

Kuzenov¹,

Шумаев²

2019

PhChGD

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Тhe work is devoted to the theoretical calculation of the physical and technical characteristics of the combined effect of intense energy fluxes on the target in the magnetic inertial plasma confinement method. The results of calculating the effect of intense energy flows on a singlelayer cylindrical target are presented. Based on these calculations, the possibility of creating compact neutron generators was evaluated. The new algorithm for numerically solving the "hyperbolic" and "parabolic" parts of the equations of plasma dynamics is briefly described.

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Approximate method for calculating convective heat flux on the surface of bodies of simple geometric shapes

Cited by 28 publications

References 13 publications

Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges

Mathematical Modeling of Plasma Dynamics for Processes in Capillary Discharges

The Study of Wave Propagation in a Shell with Soft Nonlinearity and with a Viscous Liquid Inside

Development of Methods and Modeling of Individual Characteristics of the Target of Magnetic Inertial Synthesis under Combined Exposure

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