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Study of the natural radioactivity of ore deposits 矿床天然放射性研究
Q4 MATHEMATICS Pub Date : 2021-12-01 DOI: 10.26577/ijmph.2021.v12.i2.011
V. Dyachkov, Y. Zaripova, M.G. Ahmadieva, M. T. Bigeldiyeva, A. Yushkov
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引用次数: 0
Numerical modeling of air flow inside the human nose cavity 人鼻腔内气流的数值模拟
Q4 MATHEMATICS Pub Date : 2021-06-28 DOI: 10.26577/ijmph.2021.v12.i1.05
A. K. Manapova, A. Issakhov
The complex structure of the human nasal cavity makes it difficult to study the flow of air in it, therefore, at present, mathematical and computer modeling is used for this purpose. These studies are relevant due to the development of inhalation methods for introducing drugs into the nose, with the help of which operations can be performed. Within the framework of the Navier-Stokes system of equations, temperature and concentration using the ANSYS Fluent application, a three-dimensional test calculation of the air flow in the human nasal cavity was carried out at various modes of inhalation, normal and during exercise. A laminar model was used to close the Navier-Stokes equations, and the SIMPLE method was used to perform the relationship between velocity and pressure. In the graphics package AutoCAD, a geometric three-dimensional model of the nasal cavity was built, reconstructed from images of the nose in coronary sections. As a result of numerical simulation, the fields of velocity, pressure, temperature and concentration were obtained. The results obtained were compared with the experimental data from [10] and the numerical results from [3]. The analysis of these results in terms of the influence of the structure of the nasal cavity on the structure of the flow. The results obtained agree with the experimental data. It was found that the inhaled air is heated and humidified to the state of the nasal tissue, the shells increase the rate of local transfer of heat and moisture by improving mixing and maintaining thin boundary layers, the capacity of a healthy nose exceeds the requirements necessary for conditioning the inhaled air under normal breathing conditions.
人类鼻腔的复杂结构使得研究鼻腔中的空气流动变得困难,因此,目前,数学和计算机建模被用于此目的。这些研究是相关的,因为将药物引入鼻子的吸入方法的发展,可以在这种方法的帮助下进行手术。在Navier-Stokes方程组、温度和浓度的框架内,使用ANSYS Fluent应用程序,对正常和运动期间的各种吸入模式下人体鼻腔中的气流进行了三维测试计算。使用层流模型来闭合Navier-Stokes方程,并使用SIMPLE方法来计算速度和压力之间的关系。在AutoCAD图形软件包中,建立了鼻腔的几何三维模型,并根据冠状动脉切片中的鼻腔图像进行重建。数值模拟的结果得到了速度场、压力场、温度场和浓度场。将获得的结果与[10]中的实验数据和[3]中的数值结果进行了比较。根据鼻腔结构对血流结构的影响对这些结果进行分析。所得结果与实验数据一致。研究发现,吸入的空气被加热和加湿到鼻组织的状态,外壳通过改善混合和保持薄的边界层来增加热量和水分的局部传递速率,健康鼻子的容量超过了在正常呼吸条件下调节吸入空气所需的要求。
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引用次数: 0
COMPUTATIONAL TURBULENT COMBUSTION IN THE AGE OF ARTIFICIAL INTELLIGENCE AND QUANTUM INFORMATION 人工智能与量子信息时代的计算湍流燃烧
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.01
Givi Payman
. The impact of high-performance computing on the society has been enormous, but it is easy to be taken for granted. In today’s world, it is virtually impossible to imagine system design or major decision making not aided via predictive modeling and simulation. Now that we are experiencing the Data Revolution and the emergence of the Second Quantum Revolution , it is wise to consider both of these elements in computational science and engineering. Data-driven modeling approaches and demonstrated speed-ups of quantum algorithms have the potential to transform scientific discovery. This will affect the fabrics of industrialized societies in diverse disciplines. A research arena which can substantially benefit from these technologies is combustion. This field has been the subject of heavy computational research for many decades now. In this review, some examples taken from the previous works of the author are presented to demonstrate how the field of computational turbulent combustion is benefiting from modern developments in machine learning (ML) and quantum computing (QC).
。高性能计算对社会的影响是巨大的,但它很容易被视为理所当然。在当今世界,如果没有预测建模和仿真的帮助,几乎不可能想象系统设计或主要决策制定。现在我们正在经历数据革命和第二次量子革命的出现,在计算科学和工程中考虑这两个因素是明智的。数据驱动的建模方法和量子算法的演示加速有可能改变科学发现。这将影响不同学科的工业化社会结构。一个可以从这些技术中获益的研究领域是燃烧。几十年来,这个领域一直是大量计算研究的主题。在这篇综述中,从作者以前的作品中选取了一些例子,以展示计算湍流燃烧领域如何受益于机器学习(ML)和量子计算(QC)的现代发展。
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引用次数: 0
ON THE PHYSICAL BEHAVIOURS OF THE CONFORMABLE FRACTIONAL MODIFIED CAMASSA– HOLM EQUATION USING TWO EFFICIENT METHODS 用两种有效方法研究可调分数阶修正camassa - holm方程的物理行为
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.03
Berfin Elma, E. Mısırlı
In recent years, many authors have researched about fractional partial differential equations. Physical phenomena, which arise in engineering and applied science, can be defined more accurately by using FPDEs. Thus, obtaining exact solutions of the FPDEs equations have become more important to understand physical problems. In this article, we have reached the new traveling wave solutions of the conformable fractional modified Camassa – Holm equation via two efficient methods such as first integral method and the functional variable method. The wave transformation and conformable fractional derivative have been used to convert FPDE to the ordinary differential equation. The Camassa – Holm equation is physical model of shallow water waves with non-hydrostatic pressure. Thanks to these powerful methods, some comparisons, such as type of solutions and physical behaviours, have been made. Additionally, mathematica program have been used with the aim of checking of solutions. Investigating results of the fractional differential equations can help understanding complex phenomena in applied mathematics and physics.
近年来,许多学者对分数阶偏微分方程进行了研究。在工程和应用科学中出现的物理现象,通过使用fpga可以更准确地定义。因此,获得FPDEs方程的精确解对于理解物理问题变得更加重要。本文利用一阶积分法和泛函变量法两种有效的方法,得到了符合分数阶修正Camassa - Holm方程的行波解。利用波动变换和适形分数阶导数将FPDE转化为常微分方程。Camassa - Holm方程是具有非静水压力的浅水波浪的物理模型。由于这些强大的方法,一些比较,如类型的解决方案和物理行为,已经作出。此外,还使用了mathematica程序对解进行校核。研究分数阶微分方程的结果有助于理解应用数学和物理中的复杂现象。
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引用次数: 0
STUDY OF THE MECHANICAL PROPERTIES OF INDUSTRIAL PLEXIGLAS TESTING FOR FLAT STRAIGHT BENDING 工业有机玻璃平直弯曲力学性能试验研究
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.012
A. Kupchishin, V. Lisitsyn, M. Niyazov, D. Utepova
. The mechanical properties of industrial plexiglas (polymethylmethacrylate) of various sizes (lengths, widths) have been studied when tested for plane straight bending with one concentrated force in the middle of the sample. By a result of the experimental work, the relationship between deformation and stress was obtained. It is clearly shown in the work that the experimental curves substantially depend on the parameters of the starting materials and are satisfactorily described by a linear model. The slope of tangent ( α ) for the curves ranges from 0,32 to 0,62 %MPa -1 . The dependence of a α on the length and width of the samples changes significantly. Moreover, the maximum deformation varies in the range of 50 – 60 %, which confirms the dependence of the deformation properties of the material on horizontal components, in particular, on the length of the sample. The tensile strength of the material also differs between specimens of different sizes.
. 研究了不同尺寸(长度、宽度)的工业有机玻璃(聚甲基丙烯酸甲酯)在试样中间施加集中力进行平面直弯试验时的力学性能。通过实验得到了变形与应力之间的关系。研究清楚地表明,实验曲线基本上取决于起始材料的参数,并且可以用线性模型满意地描述。曲线的正切斜率(α)范围为0.32 ~ 0.62% MPa -1。a α对样品长度和宽度的依赖性发生了显著变化。此外,最大变形在50 - 60%的范围内变化,这证实了材料的变形特性对水平分量的依赖,特别是对样品长度的依赖。材料的抗拉强度在不同尺寸的试样之间也存在差异。
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引用次数: 1
NUMERICAL SIMULATION OF BOILING LIQUID OUTFLOWS PROCESS 沸腾液体流出过程的数值模拟
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.06
S. Maussumbekova, A. Duysenali
. Computational algorithm was developed based on the well-known ANSYS Fluent software package for studying unsteady wave outflow of a saturated liquid from high-pressure pipelines during emergency depressurization. The unsteady processes of the outflow of liquid, boiling as a result of depressurization of high-pressure vessels, have been investigated. The system of equations for the conservation of mass, momentum, and energy in a two-dimensional coordinate system is used in order to create mathematical model this process. The features of the formation of jets of boiling liquid at various equilibrium initial states of water in a high-pressure vessel under conditions close to the experiments carried out by the authors [10] have been studied. The spatial distributions of pressure, temperature and velocity of the forming jet are obtained. Numerical results have shown that, over time, the character of the velocity distribution acquires a conical shape. With an increase in the initial temperature and pressure, this distribution is preserved, and the opening angle increases. The results are in qualitative agreement with the experimental data.
基于著名的ANSYS Fluent软件包开发了计算算法,用于研究紧急降压过程中饱和液体从高压管道中的非定常波流出。研究了高压容器减压引起的液体流出和沸腾的非稳态过程。为了创建这一过程的数学模型,使用了二维坐标系中的质量、动量和能量守恒方程组。已经研究了在与作者[10]进行的实验接近的条件下,在高压容器中,在水的各种平衡初始状态下形成沸腾液体射流的特征。得到了成形射流的压力、温度和速度的空间分布。数值结果表明,随着时间的推移,速度分布的特征呈现圆锥形。随着初始温度和压力的增加,这种分布得到了保留,开口角也增加了。结果与实验数据在质量上一致。
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引用次数: 0
STRUCTURE OF RESONANCE STATES IN THE SIMPLE SCHEMATIC MODEL 简单原理图模型中共振态的结构
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.07
M. Odsuren, G. Khuukhenkhuu, S. Davaa, K. Katō
. The complex scaling method is one of the powerful tool in wide areas of physics, particularly in nuclear physics. In the first stage, its advantage was mainly pointed out for description of the resonance states in the composite systems. In the last decide, the usage of this method has increased not only to obtain information on resonance states but also to determine scattering quantities in the observables. To determine the presence of many resonant states at the wave is not easy and complex scaling method can be used to determine the obtain many resonant states. The simple schematic two-body model is applied for study of many resonant states. Applying the complex scaling method, we can easily obtain several resonance states even with a wide and a sharp decay widths simultaneously. In this work, one bound and five resonance states for J π = 0 + wave and one bound and four resonance states for J π = 1 − wave are reported.
.复标度法是物理学领域,特别是核物理学领域的有力工具之一。在第一阶段,主要指出了它的优点,用于描述复合材料系统中的共振状态。在最后的决定中,这种方法的使用增加了,不仅可以获得关于共振状态的信息,还可以确定可观测值中的散射量。要确定波中是否存在许多共振状态并不容易,可以使用复杂的定标方法来确定获得的许多共振状态。简单的图解两体模型被应用于许多共振态的研究。应用复标度方法,即使同时具有宽和尖锐的衰变宽度,我们也可以很容易地获得几个共振态。在这项工作中,报道了Jπ=0+波的一界和五个共振态,以及Jπ=1−波的一束缚和四个共振态。
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引用次数: 0
INTEGRAL BVP FOR SINGULARLY PERTURBED SYSTEM OF DIFFERENTIAL EQUATIONS 奇摄动微分方程组的积分BVP
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.04
K. Konisbayeva, M. Dauylbayev, N. R. Tortbay
The article presents a two-point integral BVP for singularly perturbed systems of linear ordinary differential equations. The integral BVP for singularly perturbed systems of ordinary differential equations previously has not been considered. The paper shows the influence of nonlocal boundary conditions on the asymptotics of the solution of the regarded BVP and the significanteffect of integral terms in the definition of the limiting BVP. An explicit constructive formula for the solution of this BVP using initial and boundary functions of the homogeneous perturbed equation is obtained. A theorem on asymptotic estimates of the solution and its derivatives is given. It is established that the solution of the integral BVP at the point is infinitely large as .From here, it follows that the solution of the considered boundary value problem has an initial jump of zero order. It is found that the solution of the original integral BVP is not close to the solution of the usual limiting unperturbed BVP. A changed limiting BVP is obtained. The presence of integrals in the boundary conditions leads to the fact that the limiting BVP is determined by the changed boundary conditions. This follows from the presence of the jump and its order. A theorem on the close between the solutions of the original perturbed and changed limiting problems is given.
本文给出了线性常微分方程奇摄动系统的两点积分BVP。奇摄动常微分方程组的积分BVP以前没有被考虑过。本文给出了非局部边界条件对所考虑的BVP解的渐近性的影响,以及积分项在极限BVP定义中的重要作用。利用齐次摄动方程的初始函数和边界函数,得到了求解该边值问题的显式构造公式。给出了解及其导数的渐近估计定理。证明了积分BVP在该点的解是无穷大的。由此可知,所考虑的边值问题的解具有零阶的初始跳跃。发现原始积分BVP的解并不接近于一般极限无扰动BVP的求解。得到了一个变化的极限BVP。边界条件中积分的存在导致极限BVP由改变的边界条件决定的事实。这源于跳跃的存在及其顺序。给出了原摄动极限问题解与变极限问题解的闭合性定理。
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引用次数: 0
Definition of physical parameters of 8 X-class solar flares 8个x级太阳耀斑的物理参数定义
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.08
S. Maftunzada
We observed top 8 X-class solar flares registered in the period May 1998 – May 2015. We measure physical parameters of 8 solar flares, such as the temporal scale, size, and magnetic flux density, and find that the sizes of flares tend to be distributed more broadly as the GOES class becomes weaker and that there is a lower limit of magnetic flux density that depends on the GOES class. We also made a brief analysis of solar flares registered in these days, also has shown the duration of time and peak of solar flares in Universal time. We have identified several physical quantities of solar flares and estimated reconnection rate of solar flares. To determine the physical parameters we used images taken with the AIA instrument on board SDO satellite at wavelengths 131 A, 174 A, 193 A, 211 A, 335 A, 1600 A, 1700 A, 4500 A, SXT - pictures, HMI Magnetogram, SOLIS Chromospheric Magnetogram, GOES XRT-data. Using the observed values, we calculate reconnection inflow velocity, coronal Alfven velocity, and reconnection rate. The inflow velocities vary from a few kilometers per second to several tens of kilometers per second, and the Alfven velocities in the corona are in the range of 103 to 104 kilometers per second. As a result, the rate of reconnection is 10-3. We find that the reconnection rate in a flare tends to decrease as the GOES class of the flare increases.
我们观测到1998年5月至2015年5月期间记录的前8次X级太阳耀斑。我们测量了8个太阳耀斑的物理参数,如时间尺度、大小和磁通密度,发现随着GOES类的减弱,耀斑的大小往往分布得更广,并且磁通密度的下限取决于GOES类。我们还对这些天记录的太阳耀斑进行了简要分析,并显示了世界时太阳耀斑的持续时间和峰值。我们已经确定了几个太阳耀斑的物理量,并估计了太阳耀斑的重新连接率。为了确定物理参数,我们使用SDO卫星上AIA仪器在波长为131 A、174 A、193 A、211 A、335 A、1600 A、1700 A、4500 A、SXT-图片、HMI磁图、SOLIS色层磁图、GOES XRT数据下拍摄的图像。利用观测值,我们计算了重联流入速度、日冕阿尔芬速度和重联速率。流入速度从每秒几公里到每秒几十公里不等,日冕中的阿尔芬速度在每秒103到104公里之间。因此,重新连接的速率为10-3。我们发现,随着GOES类耀斑的增加,耀斑中的重联率往往会降低。
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引用次数: 0
Energy-Efficient Operation of PV-T Solar Collectors with Heat Pump based Water Heaters Suitable for Domestic Applications 适用于家用热泵热水器的PV-T太阳能集热器的节能运行
Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.26577/ijmph.2021.v12.i1.02
A. James, S. Jayaraj, M. Srinivas, M. Mohanraj
A photovoltaic-thermal (PV-T) hybrid collector evaporator was designed and developed to produce electrical energy and extract thermal energy simultaneously from the panel using the refrigerant circulated the evaporator tubes. The refrigerant absorbs the heat from photovoltaic panels during its phase change from liquid to vapour. The PV-T evaporators deliver both electricity and heat outputs. An R-32 refrigerant-based solar-assisted heat pump water heating system with a rated heat output of  4 kW was developed and tested its performance for producing 150-200 litres of hot water at an average temperature of 60oC. The R-32 refrigerant is selected because it does not have any ozone depletion potential (ODP), and possess very low global warming potential (GWP). The heat pump evaporator was designed to absorb 3.25 kW heat from the panel and maintains the panel below 30oC. The average PV electricity output was 6 kWh, and the requirement was 3.5 kWh. The average excess power of 2.5 kWh has been supplied to the grid, and the average coefficient of performance (COP) of the system was 6.3. For a life span of 25 years, the total equivalent warming impact analysis (TEWI) resulted in a CO2 value of 15,543 kg, which is very much lower than that of conventional systems. The economic analysis performed was reported, and the system is found to be quite suitable for domestic applications and also economically feasible with a payback period of 2.5 years. Keywords: Solar PV-T Collectors, VFD Compressor, Domestic Water Heating.
设计并研制了一种光伏-热(PV-T)混合集热器蒸发器,利用在蒸发器管中循环的制冷剂同时从面板中产生电能和提取热能。制冷剂在从液体到蒸汽的相变过程中吸收光伏板的热量。PV-T蒸发器提供电力和热量输出。研制了一套以R-32制冷剂为基础的太阳能辅助热泵热水系统,其额定输出热量为4千瓦,并测试了其在平均温度为60℃时产生150-200升热水的性能。选择R-32制冷剂是因为它没有任何臭氧消耗潜能值(ODP),并且具有非常低的全球变暖潜能值(GWP)。热泵蒸发器设计用于从面板吸收3.25 kW的热量,并保持面板在30℃以下。平均光伏发电量为6千瓦时,需求为3.5千瓦时。系统平均向电网提供多余功率2.5 kWh,系统平均性能系数(COP)为6.3。在25年的使用寿命中,总等效变暖影响分析(TEWI)产生的CO2值为15,543 kg,远远低于传统系统。进行了经济分析,发现该系统非常适合国内应用,经济上可行,投资回收期为2.5年。关键词:太阳能光伏集热器,变频压缩机,生活热水。
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引用次数: 0
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International Journal of Mathematics and Physics
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