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Asymptotic Study of Flows Induced by Oscillations of Cylindrical Bodies 圆柱形物体振荡引起的流动的渐近研究
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462824602110
A. N. Nuriev, O. N. Zaitseva, A. M. Kamalutdinov, E. E. Bogdanovich, A. R. Baimuratova

Abstract

Hydrodynamic flows induced by translational oscillations of cylindrical bodies of various cross-sectional shapes are studied. The motion of fluid around oscillating bodies is described using the system of Navier–Stokes equations written in a generalized curvilinear coordinate system. Transition to a given body shape is implemented using a conformal mapping. The problem is solved using the method of successive asymptotic expansions under the assumption that the oscillation amplitudes are small. In each asymptotic approximation, the subproblems are solved numerically using the finite-difference method. Based on the results of the work, estimates of the hydrodynamic effect are obtained, the applicability of the high-frequency asymptotic approximation is estimated, and secondary stationary flows near cylinders are studied, in particular, the occurrence of directed stationary flows near an oscillating asymmetric body is considered with reference to the Joukowski airfoil.

摘要 研究了各种截面形状的圆柱体平移摆动引起的流体力学流动。流体围绕摆动体的运动是用广义曲线坐标系中的纳维-斯托克斯方程组描述的。通过保角映射实现向给定体形的过渡。在振荡振幅较小的假设下,采用连续渐近展开法来解决这个问题。在每次渐近中,都使用有限差分法对子问题进行数值求解。根据工作结果,获得了流体动力效应的估计值,估计了高频渐近近似的适用性,并研究了圆柱体附近的二次静止流,特别是参照 Joukowski 机翼,考虑了振荡不对称体附近定向静止流的出现。
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引用次数: 0
Development of the Wave Motion Induced by Near-Bottom Periodic Disturbances in a Two-Layer Shear Current 两层剪切流中近底周期性扰动诱发的波浪运动的发展过程
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462824602122
I. V. Sturova

Abstract

The behavior of wave motion arising in an ideal incompressible homogeneous fluid under switching-on periodic bottom disturbances is studied in the linear approximation for the two-dimensional non-stationary problem. In the undisturbed state, the velocities of two-layer fluid flow are linear functions of the vertical coordinate in each of the layers with different gradients and coincide on the boundary of the layers. The upper boundary of fluid can be either free or bounded by the rigid cover. The dispersion dependences and the group velocities of the appearing wave modes are determined. The vertical displacements of the free surface and the interface between the layers are calculated. A comparison with the solution for a single-layer fluid is carried out.

摘要 在二维非稳态问题的线性近似中,研究了理想的不可压缩均质流体在切换周期性底部扰动下产生的波浪运动行为。在无扰动状态下,两层流体流动的速度是各层纵坐标的线性函数,梯度不同,并在各层边界上重合。流体的上边界可以是自由的,也可以由刚性覆盖层限定。确定了出现的波模的频散依赖性和群速度。计算了自由表面和层间界面的垂直位移。与单层流体的解法进行了比较。
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引用次数: 0
Nonlinear Regimes of Electric Convection of Poorly Conducting Fluids in Weightlessness at Low Frequencies of an Electric Field 失重状态下不良导电流体在低频电场中的非线性对流状态
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462823603273
V. A. Il’in

Abstract

Electrothermal convection in a poorly conducting fluid in an alternating electric field of a horizontal capacitor is studied. The nonlinear regimes of electric convection in weightlessness are studies at low frequencies of the electric field on the basis of the pentamodal model within the framework of the electroconductive charge formation mechanism. Hysteresis transitions between two different synchronous and subharmonic regimes are found to exist. Transitions to chaos occur by means of either interemittance or a subharmonic cascade.

摘要 研究了在水平电容器的交变电场中导电不良流体的电热对流。根据电导电荷形成机制框架内的五模态模型,研究了失重状态下低频电场的电对流非线性状态。发现在两种不同的同步和亚谐波状态之间存在着滞后过渡。向混沌的过渡是通过间歇或次谐波级联发生的。
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引用次数: 0
Estimate of the Onset of Laminar-Turbulent Transition on a Plate in Flight in the Mars Atmosphere 估计火星大气中飞行板块上层流-湍流转变的起始时间
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462823603212
Yu. N. Grigor’ev, I. V. Ershov

Abstract

Comparative calculations of the location of the onset of the laminar-turbulent transition zone are performed using the eN-method for two points on the Mars “Pathfinder” entry trajectory. A three-component model of thermochemically nonequilibrium CO2–CO–O mixture is used in the calculations. The set of spatial disturbance frequencies is found using neutral curves for the first unstable modes of temporary disturbances. The transition Reynolds number ReδT is determined from the envelopes of families of N-factor curves at NT = 8. In the hypersonic regime at M = 12.6, taking into account the developed thermochemical nonequilibrium leads to a significant decrease in the static temperature of gas in the lower part of the boundary layer. As a result, the onset of the laminar-turbulent transition zone is displaced downstream by approximately 9% as compared to the case of a perfect gas.

摘要 对火星 "探路者 "进入轨迹上的两个点使用 eN 方法对层流-湍流过渡带的起始位置进行了比较计算。计算中使用了热化学非平衡 CO2-CO-O 混合物的三组分模型。利用临时扰动的第一种不稳定模式的中性曲线找到了一组空间扰动频率。过渡雷诺数 ReδT 是根据 NT = 8 时 N 因子曲线族的包络线确定的。 在 M = 12.6 时的高超声速状态下,考虑到已形成的热化学非平衡会导致边界层下部的气体静态温度显著下降。因此,与完美气体相比,层流-湍流过渡区的起始点向下游移动了约 9%。
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引用次数: 0
The Initial Stage of the Coalescence of a Compound Drop in an Impact Regime 复合水滴在撞击状态下凝聚的初始阶段
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462824600226
Yu. D. Chashechkin, A. Yu. Il’inykh, Sh. Kh. Khaiirbekov

Abstract

The evolution of the regular fine structure of the colored matter distribution produced, when a freely falling multifluid drop spreads in deep water, is for the first time traced using the techniques of engineering photo and video recording. The flow pattern is studied in the initial stage of the formation of a cavity and a crown during the coalescence of a compound drop, whose core is a drop of alizarin ink solution coated with an oil shell. The distributions of the colored fluid at the cavity bottom and the crown walls include streaky structures, whose formation can be due to the processes of the available potential surface energy (APSE) conversion occurring when the contact surfaces of the merging fluids are eliminated. In the experiments the height of the falling drop was varied. The core position in the compound drop was not checked but was determined by separation conditions. The ink core disintegration into fibers was observable in all the experiments. The areas of the cavity and crown surfaces covered by the colored fluid reached maximum at the central position of the core.

摘要 利用工程照片和视频记录技术,首次追踪了自由下落的多流体液滴在深水中扩散时产生的彩色物质分布的规则精细结构的演变过程。研究了复合液滴(其核心是一滴涂有油壳的茜素油墨溶液)凝聚过程中形成空腔和冠状的初始阶段的流动模式。有色液体在空腔底部和冠壁的分布包括条状结构,其形成可能是由于合并液体的接触面被消除时发生的可用势能表面能(APSE)转换过程。在实验中,下落液滴的高度是变化的。没有检查墨芯在复合墨滴中的位置,而是由分离条件决定。在所有实验中都能观察到墨芯分解成纤维的现象。在墨芯的中心位置,有色液体覆盖的空腔和墨冠表面的面积达到最大。
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引用次数: 0
Self-Similar Solution of the First Stokes Problem for Non-Newtonian Fluids with Power-Law Viscosity 具有幂律粘度的非牛顿流体的第一斯托克斯问题的自相似解
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462824602134
V. N. Kolodezhnov

Abstract

The first Stokes problem is considered for flows of non-Newtonian fluids with effective viscosity varying in accordance with the power law. Self-similar solutions are constructed for the fluids, whose mechanical behavior is described by the Ostwald–de Waele and Herschel–Bulkley rheological models with the corresponding restrictions on the nonlinearity degree exponent n. It is shown that for the Ostwald–de Waele fluid self-similar solutions exist only for 0 < n < 1, which corresponds to the pseudoplastic behavior. At the same time, self-similar solutions for the Herschel–Bulkley fluid can be obtained only at n > 1, when this fluid exhibits the properties of dilatancy.

摘要 针对有效粘度按幂律变化的非牛顿流体的流动,研究了第一斯托克斯问题。结果表明,Ostwald-de Waele 流体的自相似解仅存在于 0 < n < 1 时,即对应于假塑性行为。同时,Herschel-Bulkley 流体的自相似解只能在 n > 1 时获得,此时该流体表现出扩张特性。
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引用次数: 0
Gas Suction Effect on the Crossflow Instability in Flow Past a Swept Wing 气体吸力对掠翼流过时横流不稳定性的影响
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462824600202
A. V. Novikov, A. O. Obraz, D. A. Timokhin

Abstract

The results of the swept wing boundary layer stability investigation are presented for the case, when the wing surface has a region of gas suction through the wall normal to the surface, while the wing is in Mach number 2 flow. In the flow regime considered the predominant boundary layer instability type is the crossflow instability. The gas suction effect on the development of unstable modes in the boundary layer is investigated using the linear stability theory and direct numerical modeling. The numerical modeling of laminar (undisturbed) flow fields with regions of gas suction and disturbed flow fields is carried out by integrating Navier–Stokes equations. An analysis within the framework of the linear stability theory is performed using the ({{e}^{N}})-method. The suction region location is varied with conservation of the integral intensity. It is shown that the mode instability growth can be considerably suppressed at the expense of an optimal disposition of the suction region.

摘要 本文介绍了在翼面有一个气体吸入区域,气体通过翼面法线的壁面进入翼面,同时翼面处于马赫数为 2 的流动状态下的后掠翼边界层稳定性研究结果。在所考虑的流态中,主要的边界层不稳定性类型是横流不稳定性。利用线性稳定性理论和直接数值建模研究了气体吸力对边界层不稳定模式发展的影响。通过对纳维-斯托克斯方程进行积分,对具有气体吸力区域和扰动流场的层流(未扰动)流场进行了数值建模。使用 ({{e}^{N}} 方法在线性稳定性理论框架内进行了分析。吸力区域的位置随积分强度的变化而变化。结果表明,以吸力区的最佳位置为代价,可以大大抑制模式不稳定性的增长。
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引用次数: 0
Determination of the Shape and Dimensions of the Polymer Molecules in Solutions Using Diffusional NMR Relaxation 利用扩散 NMR 驰豫确定溶液中聚合物分子的形状和尺寸
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s001546282360325x
V. A. Ivanova, A. V. Maksimychev, P. L. Men’shikov, A. R. Pashutin, A. M. Perepukhov, A. N. Rozhkov, M. V. Tsar’kov

Abstract

A new method of determining the dimensions and shapes of polymer molecules in solutions is proposed and verified in experiments. The method is based on the measurements of the relaxation of the transverse magnetization intensity of nuclei. It is established that the decaying signal of the spin echo from elongated molecules contains two terms exponentially decaying with time, which correspond to two diffusion coefficients differing by a factor of about two. The signal from molecules with a near-spherical shape contain only one exponent.

摘要 提出了一种确定溶液中聚合物分子尺寸和形状的新方法,并在实验中得到了验证。该方法基于对原子核横向磁化强度弛豫的测量。实验证明,拉长分子的自旋回波衰减信号包含两个随时间呈指数衰减的项,这两个项对应于两个相差约 2 倍的扩散系数。近球形分子的信号只包含一个指数。
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引用次数: 0
Linear Waves on Shallow Water Slowing Down near the Shore over Uneven Bottom 浅水区的线性波浪在不平整的海底近岸处减速
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462823603066
I. E. Melnikov, E. N. Pelinovsky

Abstract

The exact solutions to the system of equations of the linear theory of shallow water that represent travelling waves with some specific properties on the time propagation interval are discussed. These solutions are infinite when approaching the shore and finite when leaving for deep water. The solutions are obtained by reducing one-dimensional equations of shallow water to the Euler-Poisson-Darboux equation with negative integer coefficient ahead of the lower derivative. An analysis of the wave field dynamics is carried out. It is shown that the shape of a wave approaching the shore will be differentiated a certain number of times. This is illustrated by a number of examples. When the wave moves away from the shore, its profile is integrated. The solutions obtained within the framework of linear theory are valid only on a finite interval of variation in the depth.

摘要 讨论了浅水线性理论方程组的精确解,这些解表示在时间传播间隔上具有某些特定性质的行波。这些解在接近岸边时是无限的,而在驶向深水区时是有限的。这些解是通过将浅水一元方程简化为下导数前带负整数系数的欧拉-泊松-达尔布方程得到的。对波场动力学进行了分析。结果表明,接近岸边的波浪形状会被微分一定次数。这可以通过一些例子来说明。当波浪远离海岸时,其轮廓将被整合。在线性理论框架内获得的解仅在深度变化的有限区间内有效。
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引用次数: 0
Anomalous Heat Transfer Enhancement in Separated Flow over a Zigzag-Shaped Dense Package of Inclined Grooves in a Channel Wall at Different Temperature Boundary Conditions 不同温度边界条件下通道壁上人字形斜槽密集包分离流的异常传热增强
IF 0.9 4区 工程技术 Q3 Chemical Engineering Pub Date : 2024-05-08 DOI: 10.1134/s0015462823602875
S. A. Isaev, O. O. Mil’man, A. A. Klyus, D. V. Nikushchenko, D. S. Khmara, L. P. Yunakov

Abstract

Rapid development of the anomalous enhancement of separated turbulent Re = 6000 air flow and heat transfer in an in-line single-row package of 31 inclined grooves, 0.2 in dimensionless depth, in a singled-out longitudinal region of the wall of a narrow channel is studied. It is due to the interference of vortex wakes behind the grooves and the acceleration in the channel flow core with the formation of a zone of ultrahigh longitudinal velocity. The wave-shaped parameter characteristics are stabilized in the region of approximately 15th groove, whereupon the oscillation amplitudes are moderately reduced. The return flows in the grooves are enhanced with distance from the entry section, the minimum negative friction diminishing from −2 to −4. The total relative heat removal from the structured region increases at q = const by a factor of approximately 2.75 and by the factor of two at T = const with increase in the relative hydraulic losses by the factor of 1.7, as compared with the case of a plane–parallel channel. The relative heat removal from the surface bounded by the contour of the 20th inclined groove amounts to 3.7 (q = const) with increase in the hydraulic losses by the factor of 2.2. An increase in the local maximum of the longitudinal velocity up to a factor of 1.5, as compared with the mean-mass velocity, can be observable.

摘要 研究了在狭窄通道壁的单一纵向区域,由 31 个无量纲深度为 0.2 的倾斜凹槽组成的直列单排包中,分离湍流 Re = 6000 气流和传热的快速发展异常增强现象。这是由于沟槽后方的涡流漩涡的干扰和通道流心的加速,形成了一个超高纵向速度区。波形参数特征在大约第 15 个沟槽区域趋于稳定,振荡幅度适度减小。凹槽中的回流随着与入口部分距离的增加而增强,最小负摩擦力从-2 减小到-4。与平面平行通道相比,结构区的总相对散热量在 q = const 时增加了约 2.75 倍,在 T = const 时增加了 2 倍,相对水力损失增加了 1.7 倍。在水力损失增加 2.2 倍的情况下,第 20 个斜槽轮廓边界表面的相对散热量为 3.7(q = 常值)。与平均质量速度相比,纵向速度的局部最大值增加了 1.5 倍。
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引用次数: 0
期刊
Fluid Dynamics
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