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International Journal of Applied and Computational Mathematics最新文献

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Bernoulli Wavelets Numerical Approach for the Nonlinear Klein–Gordon and Benjamin–Bona–Mahony Equation 非线性Klein-Gordon和Benjamin-Bona-Mahony方程的Bernoulli小波数值解法
Pub Date : 2023-09-20 DOI: 10.1007/s40819-023-01555-x
S. Kumbinarasaiah, Mallanagoud Mulimani
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引用次数: 0
New Exact Solutions of the Thomas Equation Using Symmetry Transformations 利用对称变换的Thomas方程新精确解
Pub Date : 2023-09-19 DOI: 10.1007/s40819-023-01585-5
Akhtar Hussain, A. H. Kara, F. D. Zaman
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引用次数: 2
Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method 倾斜变形过滤腔内MHD流体流动与传热分析:李群法
Pub Date : 2023-09-17 DOI: 10.1007/s40819-023-01581-9
Modisawatsona Lucas Lekoko, Gabriel Magalakwe, Chaudry Masood Khalique
Abstract This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A flow model of MHD viscous incompressible fluid inside a filter is studied to seek semi-analytical solutions which are analysed to find flow and heat dynamics that lead to optimal outflow (maximum filtrates) during filtration. Lie group method is used to reduce a system of four partial differential equations describing fluid flow and temperature distribution inside the filter chamber to a system of two ordinary differential equations. The reduced system is then solved by perturbation process to obtain semi-analytical solutions for flow velocity and temperature variation inside the chamber. To understand the flow dynamics and heat distribution of the underlying case study better, the influence of different parameters during filtration resulting from the filter design, flow dynamics and heat effects are graphically presented and analysed in order to identify a combination of flow parameters that yields the best filtration process. The findings show that to maximise filtrates production, more fluid injection is required during filtration. Moreover, from the findings, it is evident that the temperature increase inside the chamber arising from the Joule heating effect is ideal since it increases internal work done and hence increases filtrates production.
摘要:本文研究了MHD流体在过滤颗粒过程中滤腔内的流动和热量分布。研究了MHD黏性不可压缩流体在过滤器内部的流动模型,寻求半解析解,并对其进行了流动和热动力学分析,从而得到过滤过程中最优流出量(最大滤液量)。利用李群法将描述过滤腔内流体流动和温度分布的四个偏微分方程组简化为两个常微分方程组。然后用微扰法求解简化后的系统,得到腔内流速和温度变化的半解析解。为了更好地了解潜在案例研究的流动动力学和热量分布,在过滤过程中,由过滤器设计、流动动力学和热效应引起的不同参数的影响以图形形式呈现和分析,以确定产生最佳过滤过程的流动参数组合。研究结果表明,为了使滤液产量最大化,在过滤过程中需要注入更多的流体。此外,从研究结果来看,焦耳热效应引起的室内温度升高显然是理想的,因为它增加了内部做功,从而增加了滤液的产生。
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引用次数: 0
Infinite Dimensional Symmetry Group Reductions and Conservation Laws of Lin–Reissner–Tsien Equation Lin-Reissner-Tsien方程的无限维对称群约简及守恒定律
Pub Date : 2023-09-16 DOI: 10.1007/s40819-023-01580-w
Jaskiran Kaur, Manjit Singh, None Mukesh
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引用次数: 0
On the Generalized Lambert Transform over Lebesgue and Boehmian Spaces Lebesgue和Boehmian空间上的广义Lambert变换
Pub Date : 2023-09-16 DOI: 10.1007/s40819-023-01571-x
Jeetendrasingh Maan, E. R. Negrín, B. J. González
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引用次数: 0
Ion-Acoustic Solitons in Magnetized Plasma Under Weak Relativistic Effects on the Electrons 弱相对论作用下磁化等离子体中的离子声孤子
Pub Date : 2023-09-15 DOI: 10.1007/s40819-023-01579-3
B. Madhukalya, R. Das, K. Hosseini, D. Baleanu, S. Salahshour
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引用次数: 0
A Higher Order Finite Difference Method for a Singularly Perturbed Boundary Value Problem with a Small Negative Shift 小负移奇摄动边值问题的高阶有限差分法
Pub Date : 2023-09-15 DOI: 10.1007/s40819-023-01578-4
T. Prathap, R. Nageshwar Rao
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引用次数: 0
A New Derivation of the Closed-Form Solution of Bratu’s Problem Bratu问题闭型解的一种新推导
Pub Date : 2023-09-15 DOI: 10.1007/s40819-023-01570-y
Mahboub Baccouch, Helmi Temimi
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引用次数: 0
New Exact Traveling Wave Solutions to the Kawahara Equation using the $$tanh (xi )$$ Expansion Method 用$$tanh (xi )$$展开法求解Kawahara方程的新精确行波解
Pub Date : 2023-09-14 DOI: 10.1007/s40819-023-01568-6
Boubekeur Gasmi, Alaaeddin Amin Moussa, Yazid Mati, Lama Abdulaziz Alhakim, Ali Akgül
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引用次数: 0
A Computational and Experimental Approach to Model Thermal Behavior in Microwave Valorization of Food Waste 食物垃圾微波固化热行为的计算与实验方法研究
Pub Date : 2023-09-14 DOI: 10.1007/s40819-023-01567-7
Chanpreet Singh, Nitika Dhingra, Nitin Saluja, Anoop Kumar Singh
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引用次数: 0
期刊
International Journal of Applied and Computational Mathematics
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