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A computational review of various inter-facial forces in fully developed multiphase fluid under different flow patterns in vertical column 完全发育的多相流体在垂直塔中不同流型下的各种界面力计算综述
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.007
Faisal Shah, Desheng Zhang, Linlin Geng
The main contribution of this work is a comprehensive overview of the many years of research on various inter-facial forces with distinct flow structure transitions in liquid-gas multiphase flow in vertical columns. Injecting a gas phase into a liquid phase result in a fluid dynamic phenomenology that is substantial, magnetizing, and fascinating. Bubble columns modelling functioning in the bubbly, slug, churn, and annular turbulent flow regime is a major challenge due to their complicated and ephemeral nature. An important modelling choice is how to represent the bubble size distribution. This may be accomplished in several ways, from the relatively simple one of utilizing a single representative bubble size to more intricate techniques. To evaluate the computational findings, we have analysed and discussed several turbulence models in this comparative research. Furthermore, this review summarises the current inter-facial force models, which include turbulent dispersion force, lift force, drag force, wall lubrication force, and virtual mass force. The models of Grace, Tomiyama, Zuber, Antel, Legendre, Burns, and Naumann universal Hosokawa are used, respectively.
本工作的主要贡献是全面概述了多年来对垂直塔中液气多相流中具有不同流动结构转变的各种界面力的研究。将气相注入到液相中会产生一种流体动力学现象,这种现象是实质性的、具有磁性的、令人着迷的。由于气泡流、段塞流、搅拌流和环空湍流的复杂性和短暂性,对气泡柱进行建模是一个重大挑战。一个重要的建模选择是如何表示气泡大小分布。这可以通过几种方式实现,从利用单一代表性气泡大小的相对简单的方法到更复杂的技术。为了评价计算结果,我们在比较研究中分析和讨论了几种湍流模型。综述了现有的界面力模型,包括湍流分散力、升力、阻力力、壁面润滑力和虚质量力。分别使用Grace、Tomiyama、Zuber、Antel、Legendre、Burns和Naumann universal Hosokawa的模型。
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引用次数: 0
Component matching optimization of high-performance turbofan engine based on experiment test and adaptive performance model to control the average gas temperature 基于实验测试和自适应性能模型的高性能涡扇发动机部件匹配优化控制平均燃气温度
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.001
Ronghui Cheng , Zhishu Zhang , Linyuan Jia , Xuedong Zhang , Longlong Yang
As the turbine inlet total temperature of the turbofan engine continues to increase, it is key to ensuring the long-term reliability of aeroengines that the components matching effectively to achieve the expected average gas temperature. However, over temperature in turbine inlet is a common challenge in advanced engine development. To solve this problem, this paper proposes a new idea of a component matching optimization method to control average gas temperature. This method couples the optimization method with the adaptive performance model, which is built using accurate component characteristics and internal/external bypass mass flow rate within the engine test. Experiment methods of component characteristics measurement in different operating status under the condition of the whole engine are also developed, which capture the entire characteristics maps rather than the mini maps along the operating line. It also establishes calculation method of the core mass flow rate based on the critical characteristics of the high-pressure turbine. Tests have shown that by applying the component matching optimization method, the turbine inlet average gas temperature of a high-performance twin-spool mixed turbofan engine was reduced by 50 K–60 K under the same thrust, ensuring fulfillment of the performance indexes.
随着涡扇发动机涡轮进气总温度的不断升高,各部件的有效匹配以达到预期的平均燃气温度是保证航空发动机长期可靠性的关键。然而,涡轮进气温度过高是先进发动机发展中普遍存在的问题。为了解决这一问题,本文提出了一种构件匹配优化方法来控制燃气平均温度的新思路。该方法将优化方法与自适应性能模型相结合,利用精确的部件特性和发动机内/外涵道质量流量建立自适应性能模型。开发了在发动机整机条件下不同运行状态下部件特性测量的实验方法,该方法捕捉的是整个发动机的特性图,而不是沿运行线的小图。根据高压涡轮的临界特性,建立了核心质量流量的计算方法。试验表明,采用部件匹配优化方法,在相同推力下,高性能双轴混合涡扇发动机的涡轮进口平均气体温度降低了50 K ~ 60 K,保证了性能指标的实现。
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引用次数: 0
Dynamics of omni-directional multi-rotor aerial vehicles, hexacopter as a case study 全向多旋翼飞行器动力学,以六旋翼飞行器为例
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.004
A.M. Shafei, M.E. Yousefzadeh
This article presents a general formulation for the mathematical modeling of a specific class of aerial robots known as hexacopters. The mentioned robotic system, which consists of six arms with motors attached to each end, possesses a unique feature: it uses the minimum actuator required to reach a specific position in space with a defined orientation. To achieve this, it is vital to install the motors with an appropriate arrangement positioned at the end of each arm to ensure the robot's controllability. On the other hand, two virtual arms with zero lengths were used to describe the robot's orientation with regard to the inertial coordinate system in a tangible manner. One of the innovations carried out in this article is the standardization of the derivation of the motion equations of this robotic system procedure. For this purpose, first, the platform of the hexacopter is separated into several substructures. Following the previous step, the dynamic equations of each of these infrastructures are extracted in explicit form accordingly. Finally, the symbolic equations are merged, and as a result, the dynamic behavior of this aerial robot is formulated. The focus of this research is mainly on hexacopters. However, the presented method is generic enough to cover all aerial robots of this kind (with any number of arms and any relative arrangement between the members). Lastly, to show the robot's ability to reach a specific position in space with the desired orientation, the results of tracking a relatively complex trajectory by utilizing this robotic system are presented.
这篇文章提出了一个通用公式的数学建模的特定类别的空中机器人被称为六旋翼机。上述机器人系统由六只手臂组成,每只手臂上都装有马达,它有一个独特的特点:它使用最小的驱动器,以确定的方向到达空间中的特定位置。为了实现这一点,至关重要的是在每个手臂的末端安装合适的电机,以确保机器人的可控性。另一方面,使用两个零长度的虚拟手臂以有形的方式描述机器人在惯性坐标系下的方向。本文进行的创新之一是标准化了该机器人系统程序的运动方程推导。为此,首先,六旋翼机的平台被分成几个子结构。在上一步之后,这些基础设施的动力方程被以显式的形式提取出来。最后,对符号方程进行合并,得到了该空中机器人的动力学行为。本研究的重点是六翼飞行器。然而,所提出的方法是通用的,足以涵盖所有这类空中机器人(具有任意数量的臂和成员之间的任何相对排列)。最后,为了展示机器人在空间中以期望方向到达特定位置的能力,给出了利用该机器人系统跟踪相对复杂轨迹的结果。
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引用次数: 0
The stability of double-diffusive convection in an inclined porous channel saturated with nanofluid and influenced by a magnetic field 饱和纳米流体的倾斜多孔通道中受磁场影响的双扩散对流稳定性
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.009
D. Srinivasacharya, Nidhi Humnekar
The stability of nanofluid flow in a porous inclined channel with double diffusion and a magnetic field is investigated. The Darcy-Brinkman model is used to characterize fluid flow dynamics in porous medium. The analytical solutions are obtained for the unidirectional and completely developed flow. The perturbed state's generalized eigenvalue problem is obtained using normal mode analysis. This eigenvalue problem is then solved using the spectral method. Key findings indicate that critical wavenumber and critical Rayleigh number, which determine the onset of instability, vary with different parameters. Specifically, an increase in the permeability, Soret parameter, thermo-solutal Lewis number, and Dufour parameter enhances system stability. Conversely, the inclination of the channel contribute to destabilizing the flow. Notably, the flow is most unstable when the channel is oriented vertically.
研究了纳米流体在双重扩散和磁场作用下多孔倾斜通道中的流动稳定性。采用Darcy-Brinkman模型来描述多孔介质中的流体流动动力学。得到了单向完全发育流的解析解。利用正态模态分析得到了扰动状态的广义特征值问题。然后用谱法求解该特征值问题。关键发现表明,决定不稳定起始的临界波数和临界瑞利数随参数的不同而变化。具体来说,渗透率、Soret参数、热溶质Lewis数和Dufour参数的增加增强了体系的稳定性。相反,通道的倾斜有助于破坏水流的稳定。值得注意的是,当通道垂直朝向时,流动最不稳定。
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引用次数: 0
Contribution of entropy analysis on three-dimensional Prandtl model under Hall and ion slip effects with generalized mass and heat fluxes via OHAM 基于广义质量和热通量的霍尔效应和离子滑移效应下三维普朗特模型的熵分析贡献
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2024.12.001
Sana Akbar , Muhammad Sohail , Syed Tehseen Abbas , Abha Singh
The major concern of proffered study based on the inquisitive analysis of entropy approach based on 3-D Prandtl fluid influenced by modified advanced heat conduction along with mass diffusion models. Moreover, influence of Hall and also slip forces and heat transmission characteristics are featured under the combined outcomes appertaining to radiations and viscous dissipation are taken into account in this investigation. This article also examined the combined impacts of thermal conductivity change together with variable mass diffusion co-efficient within the heat and mass transport in the occurrence of Prandtl fluid. Flow demeanor is examined across the bidirectional extendable sheet. Numerical simulations based on 3-D flow configured by extending surface are carried out by using OHAM. Simulated PDEs expressed as ODEs with the utilization of dimensionless variables. Simulated outcomes are validated graphically obtained by varying values of emerging constraints through previous published results and seen in desirable agreement. The influence of distinct parameters associated with this current study like Brownian and diffusion constraint, temperature and also concentration difference, Eckert number, Hall as well as ion slip parameters, Brinkman number, magnetic constraint, radiation and Prandtl fluid constraint are sketched for temperature, velocity field along xy-axes, concentration and entropy generation rate. It is noticed that velocity distribution along x-axes is an increasing function of magnetic constraint, Prandtl fluid and also elastic constraint whilst contrast impact is seen along y-axes. Moreover, temperature as well as concentration profile decays for Prandtl number, thermal and also concentration relaxation time constraint respectively whereas both profiles enhanced for distinct considered parameters. Entropy declines for ion-slip parameter whilst enhanced for Bejan number. Entropy behavior as well as Bejan number effect under various parameters is sketched graphically and enhanced behavior is depicted for entropy for considered constraint whilst Bejan number enhanced for diffusion parameter and also concentration difference constraint whereas declined behavior demonstrated for other considered parameters. The innovative component in the current study lies in the integration of multiple factors towards the Prandtl fluid model framework, forcing its boundaries beyond widespread conventional applications. Extending the Prandtl fluid model in 3D allows more comprehensive demonstration of the under consideration physical system.
基于改进的先进热传导和质量扩散模型影响下的三维普朗特流体的熵方法的探究性分析,提供了研究的主要关注点。此外,本文还考虑了霍尔力和滑移力的影响以及辐射和粘滞耗散联合结果下的传热特性。本文还考察了普朗特流体发生过程中,热导率变化和变质量扩散系数对传热和传质的综合影响。流动状态是通过双向可扩展片检查。利用OHAM软件对扩展曲面配置的三维流动进行了数值模拟。利用无因次变量将模拟偏微分方程表示为偏微分方程。模拟结果通过图形验证,通过先前发表的结果通过不同的新出现的约束值获得,并在理想的协议中看到。概述了与本研究相关的不同参数,如布朗和扩散约束、温度和浓度差、Eckert数、霍尔和离子滑移参数、Brinkman数、磁约束、辐射和普朗特流体约束对温度、沿xy轴速度场、浓度和熵产率的影响。注意到沿x轴的速度分布是磁约束、普朗特流体和弹性约束的递增函数,而沿y轴的速度分布则是对比冲击。此外,温度和浓度曲线分别在普朗特数、热和浓度弛豫时间约束下衰减,而在不同的考虑参数下,这两个曲线都增强。随着离子滑移参数的增加,熵值减小,而随着贝让数的增加,熵值增大。熵行为以及各种参数下的贝让数效应以图形形式勾画出来,在考虑约束条件下熵的增强行为被描绘出来,而贝让数在扩散参数和浓度差约束下被增强,而在其他考虑参数下则表现出下降的行为。当前研究的创新之处在于将多种因素整合到普朗特流体模型框架中,使其超越了广泛的传统应用。将普朗特流体模型扩展到三维,可以更全面地展示所考虑的物理系统。
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引用次数: 0
Review on the development status and performance deign of adaptive cycle engines 自适应循环发动机的发展现状及性能设计综述
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.006
Min Chen , Li Deng , Jiyuan Zhang , Hailong Tang
The adaptive cycle engine (ACE) is considered a crucial candidate for the propulsion systems of next-generation aircraft. Its high thrust and low fuel consumption operating modes make it suitable for various flight missions. However, the complex couplings and novel components in the ACE pose significant challenges to its performance design. This paper presents a systematic literature review on development status and performance deign of ACEs. Firstly, the development of ACE at various periods over the past few decades is presented. Then, four typical ACE configurations are introduced and analyzed based the differences of the core and the low-pressure compression system. After that, an emphasis is placed on the performance optimization method for ACE under various operating conditions, including steady-state, mode transition, acceleration/deceleration, and considering uncertainties. In addition, the numerical zooming technology for non-rotating components, rotating components, as well as intake and exhaust system are summarized in this paper. Through the above summary and analysis, the development trends in ACE performance design are explored.
自适应循环发动机(ACE)被认为是下一代飞机推进系统的关键候选者。它的高推力和低油耗操作模式使其适合各种飞行任务。然而,ACE中复杂的耦合和新颖的部件给其性能设计带来了巨大的挑战。本文对ace的发展现状和性能设计进行了系统的文献综述。首先,介绍了ACE在过去几十年各个时期的发展。然后,根据堆芯和低压压缩系统的不同,介绍并分析了四种典型的ACE配置。然后重点介绍了ACE在稳态、模式转换、加减速、考虑不确定性等工况下的性能优化方法。此外,本文还对非旋转部件、旋转部件以及进排气系统的数值变焦技术进行了综述。通过以上的总结和分析,探讨了ACE性能设计的发展趋势。
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引用次数: 0
Heat generation/absorption and bioconvective swirling stagnation point flow impact of magnetized Maxwell nanofluid by a stretchable rotating disk 可拉伸旋转圆盘磁化麦克斯韦纳米流体的产热/吸收和生物对流漩涡滞止点流动影响
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.002
Arfan Shahzad , Muhammad Imran , Madeeha Tahir , Shan Ali Khan , Nehad Ali Shah
The prime focus of this article is to formulate and inspect the mathematical model concerning the bioconvective swirling stagnation point flow of magnetized Maxwell nanofluid in the presence of gyrotactic motile microorganisms through a stretchable rotating disk. For the articulation of the heat transfer process, Fourier's law of heat conduction is implemented by incorporating heat sources and thermal radiation. The flow is further accompanied by the activation energy and solutal boundary conditions. The flow behavior for velocity, thermal, concentration, and microorganisms' volumetric density profiles are discussed in detail. Furthermore, heat and mass fluxes are explored by considering thermophoresis impact and Brownian movement through the Buongiorno model. The governing complicated nonlinear partial differential equations of flow are reduced into dimension-free ordinary differential equations by introducing some appropriate transformation variables. This problem is computed numerically by deploying the bvp4c built-in function in MATLAB. The impacts of concerned flow describing parameters are assessed by utilizing both graphical and tabulated approaches. The results elucidate the flow toward radial and azimuthal directions accelerated by increasing the stretching ratio parameter but decelerated by enlarging the magnetic field parameter. The thermal field strengthens against the increasing thermal radiation parameter, thermophoresis parameter, heat source parameters, and the thermal Biot number. The nanoparticles concentration profile is boosted for increasing magnitudes of thermophoresis number and solutal Biot number while it diminishes for enlarging Brownian movement parameter. The gyrotactic motile microorganisms' profile is downscaled by the Peclet and bioconvection Lewis numbers whereas an adverse tendency is noticed against the microorganism Biot number.
本文的主要重点是建立和检验磁化麦克斯韦纳米流体在回旋运动微生物存在下通过可拉伸旋转盘的生物对流旋流滞止点流动的数学模型。对于传热过程的表述,傅立叶热传导定律是通过结合热源和热辐射来实现的。流动还伴随着活化能和溶质边界条件。详细讨论了流速、热、浓度和微生物体积密度分布的流动特性。此外,通过Buongiorno模型考虑热泳冲击和布朗运动,探讨了热通量和质量通量。通过引入适当的变换变量,将控制复杂非线性流动偏微分方程简化为无量纲常微分方程。利用MATLAB中的bvp4c内置函数对该问题进行了数值计算。利用图形和表格两种方法来评估有关流描述参数的影响。结果表明,增大拉伸比参数可加速沿径向和方位方向的流动,增大磁场参数可减慢沿径向和方位方向的流动。热场随热辐射参数、热泳参数、热源参数和热Biot数的增加而增强。随着热泳次数和溶质Biot数的增大,纳米颗粒的浓度分布增大,而随着布朗运动参数的增大,纳米颗粒的浓度分布减小。旋向运动微生物的分布曲线被Peclet数和生物对流刘易斯数缩小,而对微生物的Biot数则有不利的趋势。
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引用次数: 0
Towards understanding thermal management in unsteady boundary layer flow with AC/DC electric fields 探讨交直流电场作用下非定常边界层流动的热管理
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.003
Sara I. Abdelsalam , Mohamed A. Dagher , Y. Abd Elmaboud , A.I. Abdellateef
Unsteady boundary layer flow induced by alternating current (AC) or direct current (DC) electric field through a porous layer is investigated numerically. The finite difference method based on Crank-Nicolson is applied to solve the nonlinear system. The governing equations are built with fractional shear stress and the Cattaneo heat flux model, and time fractional derivatives are computed using the Caputo fractional derivative. The numerical results are presented to demonstrate the effects of varying parameters on momentum and thermal boundary layer. The results reveal that the time delay in the velocity profile occurs for larger values of both the velocity fractional derivative parameter and the velocity relaxation time due to the molecules colliding and interacting, thereby exchanging momentum to achieve a new equilibrium. Additionally, factors such as permeability, magnetic field strength (Hartmann number), Grashof number, and Biot number are shown to significantly influence fluid movement, heat convection, and temperature gradients within the boundary layer. This insight is of paramount importance in engineering applications such as enhanced oil recovery, geothermal reservoir management, and advanced cooling systems, where precise control of fluid dynamics and heat transfer is essential for optimizing performance and resource utilization.
采用数值方法研究了在交流或直流电场作用下多孔层的非定常边界层流动。采用基于Crank-Nicolson的有限差分法求解非线性系统。采用分数剪应力和Cattaneo热流模型建立控制方程,采用Caputo分数导数计算时间分数导数。数值结果显示了不同参数对动量和热边界层的影响。结果表明,当速度分数阶导数参数和速度弛豫时间较大时,由于分子的碰撞和相互作用,从而交换动量达到新的平衡,从而在速度剖面中出现时间延迟。此外,磁导率、磁场强度(哈特曼数)、格拉什夫数和毕奥数等因素对边界层内的流体运动、热对流和温度梯度有显著影响。这种见解在工程应用中至关重要,例如提高采收率,地热油藏管理和先进的冷却系统,在这些应用中,流体动力学和传热的精确控制对于优化性能和资源利用至关重要。
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引用次数: 0
Size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded materials subjected to supersonic fluid flow 金属-陶瓷功能梯度材料纳米梁在超音速流体作用下的颤振分析
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.008
Mohammad Ali Motallebi, Mohammad Hashemian, S. Ali Eftekhari, Davood Toghraie, Mostafa Pirmoradian
In the presented paper, the size-dependent flutter analysis of a nanobeam made of metal-ceramic functionally graded (FG) materials subjected to supersonic fluid flow is examined. The volume fractions of metal and ceramic vary along both longitudinal and thickness directions. The size effects are modeled based on the nonlocal strain gradient theory (NSGT) and the surface effects are included according to the Gurtin-Murdoch surface elasticity theory. The mathematical modeling of nanobeam is performed in the framework of Reddy's third-order shear deformation beam theory (TSDBT), and the aerodynamic pressure is modeled according to the linear approximation of the piston theory. The governing equations and boundary conditions are obtained utilizing Hamilton's principle and are solved approximately via the differential quadrature method (DQM). Convergence and precision of the presented work are proved and the effects of several parameters on the flutter boundaries are inspected such as material gradation indexes, nonlocal and strain gradient parameters, thickness-to-length ratio, and incorporation of surface effects. It is discovered that the incorporation of the surface effects has a remarkable impact on the flutter boundaries of nanobeams and increases both critical aerodynamic pressure and flutter frequency of the nanobeam. The aim of this work is to examine how the aeroelastic stability characteristics of an FG nanobeam can be affected by the nonlocal and strain gradient parameters and the variations in the volume fractions of the metal and ceramic in the longitudinal and thickness directions.
本文研究了由金属-陶瓷功能梯度材料制成的纳米梁在超音速流体作用下的尺寸相关颤振分析。金属和陶瓷的体积分数沿纵向和厚度方向变化。尺寸效应基于非局部应变梯度理论(NSGT)建模,表面效应基于Gurtin-Murdoch表面弹性理论。采用Reddy的三阶剪切变形梁理论(TSDBT)对纳米梁进行数学建模,并根据活塞理论的线性近似对其气动压力进行建模。利用哈密顿原理得到控制方程和边界条件,并用微分求积分法进行近似求解。验证了所提工作的收敛性和精度,并考察了材料级配指标、非局部和应变梯度参数、厚长比和表面效应的结合等参数对颤振边界的影响。研究发现,表面效应的加入对纳米梁的颤振边界有显著的影响,使得纳米梁的临界气动压力和颤振频率都有所提高。本研究的目的是研究非局部和应变梯度参数以及金属和陶瓷在纵向和厚度方向上的体积分数变化如何影响FG纳米梁的气动弹性稳定性特性。
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引用次数: 0
Energy transfer and thermal transport for unsteady fractional viscous fluid under Fourier and statistical analysis 非定常分数粘性流体的能量传递和热输运傅立叶及统计分析
IF 5.4 2区 工程技术 Q1 ENGINEERING, AEROSPACE Pub Date : 2025-03-01 DOI: 10.1016/j.jppr.2025.02.005
Ibrahim Mahariq , Kashif Ali Abro , Ambreen Siyal
An energy transference from unsteady flow of the incompressible viscous fluid is proposed with radiative heat flux. In order to develop an efficient mathematical model, Rosseland estimation and Boussinesq approximation have been employed. An efficient mathematical model for energy transfer from unsteady flow of viscous fluid is established by means of newly presented fractional differential operator. The fractional differential operator has the capability to describe memory for energy transfer and hereditary properties based on its kernel for minimization or maximization of thermal performance within thermophysical features. The developed model for unsteady flow of viscous fluid is investigated for velocity, concentration and temperature via Fourier and statistical approaches. The analytical results have been simulated for the rheological parameters and statistical results are depicted for different types of graphs for knowing identical and proportional quantity of energy transference.
提出了不可压缩粘性流体非定常流动的能量传递与辐射热流的关系。为了建立一个有效的数学模型,采用了Rosseland估计和Boussinesq近似。利用新提出的分数阶微分算子,建立了粘性流体非定常能量传递的有效数学模型。分数阶微分算子具有描述能量传递和遗传特性的记忆的能力,这是基于其在热物理特征中最小化或最大化热性能的核。利用傅立叶和统计方法对建立的粘性流体非定常流动模型进行了速度、浓度和温度的研究。对流变参数的分析结果进行了模拟,并对不同类型的图的统计结果进行了描述,以了解相同和成比例的能量转移量。
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引用次数: 0
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Propulsion and Power Research
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