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Framing the hydrothermal significance of water-based hybrid nanofluid flow over a revolving disk 构建旋转圆盘上水基混合纳米流体流动的水热意义
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2022-0137
E. A. Algehyne, Fuad S. Alduais, A. Saeed, Abdullah Dawar, M. Ramzan, P. Kumam
Abstract In this article, the authors have presented the MHD hybrid nanoliquid flow comprised of CuO and Ag nanoparticles (nps) over a rotating disk under the effects of thermophoresis, Brownian motion, activation energy, heat source and chemical reaction. The flow is considered over a spinning disc with convective conditions. The proposed model is solved with the help of HAM. The convergence of the HAM is also shown in order to verify the convergence of the modeled problem. The effects of embedded parameters on the velocity, energy and mass profiles of the magnetohydrodynamic flow of hybrid nanoliquid are shown with the help of Figures. Also, the effects of embedded parameters on skin friction, heat and mass transfer rate are calculated with the help of Tables. The results showed that the velocity and energy profiles are augmented with the increasing solid volume fraction. The increasing magnetic parameter reduces both the radial and tangential velocities of the hybrid nanofluid flow. The increasing effects of heat source, thermophoresis and Brownian motion factors on energy profiles are found. The increasing influence of thermophoresis and activation energy factors on concentration profile of the hybrid nanofluid flow is found, while the increasing Brownian motion, chemical reaction and Schmidt number reduce the concentration profile.
摘要在本文中,作者提出了在热泳、布朗运动、活化能、热源和化学反应的影响下,由CuO和Ag纳米颗粒(nps)组成的MHD混合纳米液体在旋转圆盘上的流动。考虑了在对流条件下旋转圆盘上的流动。在HAM的帮助下对所提出的模型进行了求解。为了验证建模问题的收敛性,还展示了HAM的收敛性。嵌入参数对混合纳米液体磁流体动力学流动的速度、能量和质量分布的影响如图所示。此外,还借助表格计算了嵌入参数对表面摩擦、传热和传质速率的影响。结果表明,随着固体体积分数的增加,速度和能量分布都有所增加。增加的磁性参数降低了混合纳米流体流的径向和切向速度。发现了热源、热泳和布朗运动因子对能量分布的增加效应。热泳和活化能因子对混合纳米流体流的浓度分布的影响越来越大,而布朗运动、化学反应和施密特数的增加使浓度分布减小。
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引用次数: 1
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium 非达西多孔介质中垂直波状表面上的催化表面反应
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2020-0198
N. C. Roy
Abstract A mathematical model is developed to analyze the free convection flow induced by catalytic surface reaction on a vertical wavy surface embedded in a non-Darcy porous medium. The governing equations are transformed using a generalized transformation which are valid near to and far from the leading edge. We then solve the resulting equations employing finite difference method. A comparison between the present solutions and the results of a past study is made which provides a good agreement. Numerical results reveal that the wall temperature and the surface concentration are enhanced for higher heat release parameter. An increase in the amplitude of the wavy surface and the reactant consumption parameter causes a decrease in the wall temperature and the surface concentration. Due to the increase of the reduced Darcy number the wall temperature substantially becomes higher whereas the surface concentration diminishes. However, a converse characteristic is observed in the case of the activation energy parameter. The momentum, thermal and concentration boundary layers are significantly increased for higher values of the reduced Darcy number and the consumption reactant parameter. Contrary to this, the larger heat release parameter reduces the thicknesses of the momentum, thermal and concentration boundary layers.
摘要建立了非达西多孔介质中垂直波状表面催化表面反应诱导的自由对流流动数学模型。利用广义变换对控制方程进行了变换,该变换在前缘附近和远前缘处都有效。然后用有限差分法求解得到的方程。将目前的解决方案与过去的研究结果进行了比较,结果很吻合。数值结果表明,放热参数越高,壁面温度和表面浓度越高。波浪形表面振幅的增大和反应物消耗参数的增大导致壁温和表面浓度的降低。由于还原达西数的增加,壁面温度明显升高,而表面浓度降低。然而,在活化能参数的情况下,观察到相反的特征。当还原达西数和消耗反应物参数值较高时,动量边界层、热边界层和浓度边界层显著增加。与此相反,较大的热释放参数减小了动量边界层、热边界层和浓度边界层的厚度。
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引用次数: 0
Power minimization of gas transmission network in fully transient state using metaheuristic methods 基于元启发式方法的输气管网全暂态功率最小化
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-17 DOI: 10.1515/ijnsns-2020-0057
Hamid Reza Moetamedzadeh, Hossein Khodabakhshi Rafsanjani
Abstract In gas transmission networks, the pressure drop caused by friction is one of the main operation costs that is compensated through consuming energy in the compressors. In the competitive market of energy, considering the demand variation is inevitable. Hence, the power minimization should be carried out in transient state. Since the minimization problem is severely nonlinear and nonconvex subjected to nonlinear constraints, utilizing a powerful minimization tool with a straightforward procedure is very helpful. In this paper, a novel approach is proposed based on metaheuristic algorithms for power minimization of a gas transmission network in fully transient conditions. The metaheuristic algorithms, unlike the gradient dependent method, can solve the complicated minimization problem without simplification. In the proposed strategy, the cost function is not expressed explicitly as a function of minimization variables; therefore, the transient minimization can be as precise as possible. The minimization is carried out by a straightforward methodology in each time sample, which leads to more precise solutions as compared to the quasi transient minimization. The metaheuristic minimizer, called the particle swarm optimization gravitational search algorithm (PSOGSA), is utilized to find the optimum operating set points. The numerical results also confirm the accuracy and well efficiency of the proposed method.
摘要在天然气输送网络中,摩擦引起的压降是主要的运行成本之一,通过消耗压缩机的能量来补偿。在竞争激烈的能源市场中,考虑需求变化是不可避免的。因此,功率最小化应在瞬态状态下进行。由于最小化问题是严重的非线性和非凸的,受到非线性约束,因此使用一个强大的最小化工具和一个简单的过程是非常有帮助的。本文提出了一种基于元启发式算法的输气网络全暂态功率最小化新方法。与梯度相关方法不同,元启发式算法可以在不简化的情况下解决复杂的最小化问题。在所提出的策略中,成本函数没有明确表示为最小化变量的函数;因此,瞬态最小化可以尽可能精确。在每个时间样本中,通过直接的方法进行最小化,与准瞬态最小化相比,这导致了更精确的解。元启发式最小化器被称为粒子群优化引力搜索算法(PSOGSA),用于寻找最佳操作设定点。数值结果也证实了该方法的准确性和良好的效率。
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引用次数: 0
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems 求解凸可行性和单调包含问题的一种新的自适应惯性cq算法
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0322
C. Enyi, O. Iyiola, Chinedu G. Ezea
Abstract Using a dynamical step size technique, a new self-adaptive CQ-algorithm is proposed in the presence of an inertial term to find the solution of convex feasibility problem and monotone inclusion problem involving a finite number of maximal monotone set valued operators. To do this, in certain Banach spaces, we construct an algorithm which converges to the fixed point of right Bregman strongly nonexpansive mappings and coincidentally solves the convex feasibility and monotone inclusion problems. Strong convergence of the algorithm is achieved without computation of the associated operator norms. Interesting numerical examples which illustrate the implementation and efficiency of our scheme are also given. Results obtained via this work improve and extend on previous results of its kind, in the literature.
摘要利用动态步长技术,在存在惯性项的情况下,提出了一种新的自适应cq算法,用于求解包含有限个极大单调集值算子的凸可行性问题和单调包含问题。为此,在一定的Banach空间中构造了一个收敛于右Bregman强非扩张映射不动点的算法,并同时解决了凸可行性和单调包含问题。该算法在不计算相关算子范数的情况下具有较强的收敛性。文中还给出了有趣的数值例子,说明了该方案的实现和有效性。通过这项工作获得的结果在文献中改进和扩展了以前的同类结果。
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引用次数: 0
Higher order Traub–Steffensen type methods and their convergence analysis in Banach spaces Banach空间中的高阶Traub–Steffensen型方法及其收敛性分析
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0202
Deepak Kumar, J. Sharma, Harmandeep Singh
Abstract In this paper, we consider two-step fourth-order and three-step sixth-order derivative free iterative methods and study their convergence in Banach spaces to approximate a locally-unique solution of nonlinear equations. Study of convergence analysis provides radius of convergence, error bounds and estimates on the uniqueness of the solution. Such estimates are not provided in the approaches that use Taylor expansions using higher order derivatives. Furthermore, in quest of fast algorithms, a generalized q-step scheme with increasing convergence order 2q + 2 is proposed and analyzed. Novelty of the q-step algorithm is that, in each step, order of convergence is increased by an amount of two at the cost of only one additional function evaluation. To maximize the computational efficiency, the optimal number of steps is calculated. Theoretical results regarding convergence and computational efficiency are verified through numerical experimentation.
摘要在本文中,我们考虑了两步四阶和三步六阶无导数迭代方法,并研究了它们在Banach空间中的收敛性,以逼近非线性方程的局部唯一解。收敛性分析的研究提供了收敛半径、误差界和对解的唯一性的估计。在使用高阶导数的泰勒展开的方法中没有提供这样的估计。此外,为了寻求快速算法,提出并分析了一种收敛阶为2q+2的广义q步格式。q步算法的新颖性在于,在每一步中,收敛阶数都增加了两个,而只需要进行一次额外的函数评估。为了最大限度地提高计算效率,计算了最佳步数。通过数值实验验证了收敛性和计算效率的理论结果。
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引用次数: 1
Spectral collocation method approach to thermal stability of MHD reactive squeezed fluid flow through a channel MHD反应性挤压流体通道热稳定性的谱配点法研究
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0111
E. Titiloye, A. Adeosun, J. Ukaegbu
Abstract The current study focuses on the thermal stability of exothermic MHD reactive squeezed fluid flow between parallel plates. The problem’s governing nonlinear partial differential equations are transformed into dimensionless ones. The dimensionless equations obtained are highly nonlinear and are then numerically solved using the spectral collocation method (SCM). The acquired results are verified using Runge–Kutta fourth-fifth order (RK45) combined with shooting method, and a good agreement is achieved. Some graphs and tables are provided to examine the exothermic combustion process by focusing on the effects of emergent kinetic parameters such as activation energy, heat generation, and squeezed flow on the temperature profile and thermal stability of the system. It is discovered that the activation energy parameter tends to minimize the temperature profile while also improving the system’s thermal stability. However, the squeezed parameter and the heat generation rate parameter increase exothermic chemical reactions, causing the system to become unstable.
摘要本文主要研究了放热MHD反应挤压流体在平行板间流动的热稳定性。将该问题的控制非线性偏微分方程转化为无因次方程。得到的无量纲方程是高度非线性的,然后用谱配点法(SCM)进行数值求解。采用龙格-库塔四五阶(RK45)结合射击法对所得结果进行了验证,得到了较好的一致性。通过关注诸如活化能、产热和压缩流等紧急动力学参数对系统温度分布和热稳定性的影响,提供了一些图表来检查放热燃烧过程。研究发现,活化能参数可以使系统的温度分布最小化,同时提高系统的热稳定性。然而,压缩参数和产热速率参数增加了放热化学反应,导致系统变得不稳定。
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引用次数: 0
Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet 基于Gegenbauer小波的广义时空分数阶Klein-Gordon方程数值模拟
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0304
M. Faheem, Arshad Khan, Muslim Malik, A. Debbouche
Abstract This paper investigates numerical solution of generalized space-time fractional Klein–Gordon equations (GSTFKGE) by using Gegenbauer wavelet method (GWM). The developed method makes use of fractional order integral operator (FOIO) for Gegenbauer wavelet, which is constructed by employing the definition of Riemann–Liouville fractional integral (RLFI) operator and Laplace transformation. The present algorithm is based on Gegenbauer wavelet jointly with FOIO to convert a GSTFKGE into a system of equations which is solved by using Newton’s technique. Additionally, the upper bound of error norm of the proposed method is calculated to validate the theoretical authenticity of the developed method. The comparison of numerical outcomes with the existing results in the literature and graphical illustrations show the accuracy and reliability of our method.
摘要本文利用Gegenbauer小波方法研究了广义时空分数阶Klein–Gordon方程的数值解。所开发的方法利用了Gegenbauer小波的分数阶积分算子(FOIO),该算子是利用Riemann-Liouville分数阶积分(RLFI)算子的定义和拉普拉斯变换构造的。该算法基于Gegenbauer小波与FOIO相结合,将GSTFKGE转化为利用牛顿技术求解的方程组。此外,还计算了所提出方法的误差范数上限,以验证所提出方法在理论上的真实性。数值结果与文献和图解中现有结果的比较表明了我们方法的准确性和可靠性。
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引用次数: 0
A study on solvability of the fourth-order nonlinear boundary value problems 四阶非线性边值问题可解性的研究
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-14 DOI: 10.1515/ijnsns-2021-0052
Haide Gou
Abstract The purpose of the paper is devoted to proving the solvability of the fourth order boundary value problem. Firstly, we build a maximum principle for the corresponding linear equation, by the use of this maximum principle, we develop a monotone iterative technique in the presence of lower and upper solutions to solve the nonlinear equation, secondly, the existence and uniqueness results for the problem is obtained. In addition, an example is presented to show the application of our main results.
摘要本文的目的是证明四阶边值问题的可解性。首先,我们为相应的线性方程建立了一个极大值原理,利用这个极大值原理发展了一种在存在上下解的情况下求解非线性方程的单调迭代技术,其次,得到了该问题的存在唯一性结果。此外,还举例说明了我们的主要结果的应用。
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引用次数: 0
Extended logistic map for encryption of digital images 用于数字图像加密的扩展逻辑映射
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-13 DOI: 10.1515/ijnsns-2022-0028
Hanis Stanley, Amutha Ramachandran
Abstract A novel extended logistic map has been proposed and tested mathematically for security-based applications. Because the designed extended logistic map behaves chaotically across a wide range of logistic control parameters, it is extremely difficult to predict using even the most exhaustive search methods. The map overcomes a significant drawback of simple logistic mapping, which is commonly used in encryption algorithms. The chaotic map designed was also used as a key to shuffle the pixel position of the image for the image shuffling algorithm developed. The algorithm developed produced excellent results and is adequate for providing an encrypted image in resource-constrained systems. Performance results show that this map is highly chaotic and provides high security when applied in image encryption systems.
摘要提出了一种新的扩展逻辑图,并对其进行了数学测试,用于基于安全的应用。由于所设计的扩展逻辑图在广泛的逻辑控制参数范围内表现混乱,因此即使使用最详尽的搜索方法也极难预测。该映射克服了加密算法中常用的简单逻辑映射的一个显著缺点。设计的混沌映射也被用作对图像像素位置进行混洗的关键,用于开发图像混洗算法。所开发的算法产生了极好的结果,并且足以在资源受限的系统中提供加密图像。性能结果表明,该映射具有高度的混沌性,在图像加密系统中应用时具有很高的安全性。
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引用次数: 3
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system 一种新的四维忆阻器系统的分岔、混沌和电路实现
IF 1.5 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2022-10-13 DOI: 10.1515/ijnsns-2021-0393
X. Jiang, Jianhao Li, Bo Li, Wei-shuai Yin, Li Sun, Xiangyong Chen
Abstract This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed.
摘要本文讨论了一个新的混沌系统的复杂动力学行为,该系统是通过在类似的Chen系统中引入忆阻器而首次建立的。然后选择a作为关键参数,基于特征值理论对忆阻器系统的稳定性进行了分析。研究还发现,当一个系统越过一些临界值时,系统会表现出Neimark–Sacker分岔和混沌行为。通过对基于忆阻器的系统的相图和最大李雅普诺夫指数图等数值模拟,验证了混沌吸引子的存在性。最后,为了使本文的结果在实际情况中有用,例如混沌安全算法的设计,设计了忆阻器混沌系统的模拟电子电路。
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引用次数: 13
期刊
International Journal of Nonlinear Sciences and Numerical Simulation
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