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Temperature effect on frequencies of a tapered triangular plate 温度对锥形三角板频率的影响
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.04
Akash Khodiya, Amit Sharma
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引用次数: 2
Investigation of the influence of liquid phase motion on the solidification process in the three-dimensional region 液相运动对三维凝固过程影响的研究
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.10
E. Wegrzyn-Skrzypczak
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引用次数: 0
Uniformly convergent higher-order finite difference scheme for singularly perturbed parabolic problems with non-smooth data 具有非光滑数据的奇摄动抛物型问题的一致收敛高阶有限差分格式
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.01
T. A. Bullo, G. Degla, G. Duressa
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引用次数: 14
Application of computational mechanics approaches for increasing of tribosystem operational parameters by using plasma hardening method 计算力学方法在等离子体硬化法提高摩擦系统工作参数中的应用
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.06
V. Kopylov, O. Kuzin, N. Kuzin
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引用次数: 0
Application of polynomial tensor interpolation for technical tests 多项式张量插值在技术试验中的应用
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.02
Anita Ciekot, G. Biernat, T. Fraczek
The main aim of this paper is a new formula of tensor interpolation by the polynomial of two variables. The formulas for interpolating polynomial coefficients are obtained using the Kronecker tensor product of matrices. The mathematical model for the diffusion process is presented. This paper is focused on determining the optimal parameters for this process by polynomial tensor interpolation of the obtained research results. MSC 2010: 65D05, 41A05, 15A69
本文的主要目的是建立一个新的双变量多项式张量插值公式。利用矩阵的克罗内克张量积得到多项式系数的插值公式。提出了扩散过程的数学模型。本文的重点是通过对已有的研究成果进行多项式张量插值,确定该过程的最优参数。MSC 2010: 65d05, 41a05, 15a69
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引用次数: 0
Mixed convective flow with variable viscosity and variable thermal conductivity in a channel in the presence of first order chemical reaction with heat generation or absorption 在有产热或吸热的一级化学反应的通道中,变黏度和变导热系数的混合对流
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.09
C. ShobhaK, Mahadevi Biradar, B. PatilMallikarjun
A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature. The temperature of the walls is maintained constant. Under these assumptions, the governing balance equations of mass, momentum and energy are formulated. The dimensionless forms of the governing equations are coupled and non-linear, which cannot be solved analytically and therefore require the use of the Runge-Kutta fourth order along with shooting technique. Graphs for velocity and temperature under different values of parameters involved are plotted and discussed. The skin friction and Nusselt number on the channel walls are also computed and discussed. Furthermore, the investigation found that variable viscosity and variable thermal conductivity enhance the velocity and temperature of the flow. MSC 2010: 34B08, 65L06, 76D05
本文研究了粘性流体在具有一级化学反应和产热或吸热的垂直通道中的流动和传热,假设粘度和导热系数与流体温度有关。壁面的温度保持恒定。在这些假设下,建立了质量、动量和能量的控制平衡方程。控制方程的无量纲形式是耦合的和非线性的,不能解析求解,因此需要使用龙格-库塔四阶随射技术。绘制并讨论了不同参数值下的速度和温度曲线。计算并讨论了通道壁上的表面摩擦和努塞尔数。此外,研究发现,变粘度和变导热系数提高了流动的速度和温度。MSC 2010: 34b08, 65l06, 76d05
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引用次数: 4
Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity 具有可变导热系数的拉伸表面上的三维MHD-Casson流体流动
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.03
B. Ganga, S. Charles, A. Hakeem, S Nadeem
. The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.
. 研究了三维磁流体力学(MHD)卡森流体在拉伸表面上进入具有变热导率和热生成/吸收的多孔介质的边界层流动。将质量、动量和能量守恒定律转化为常微分方程,应用四阶龙格-库塔积分格式与射击过程进行数值处理。通过表格和插图对边界层内的无量纲速度、温度、表面摩擦系数和局部努塞尔数进行了处理和检验。具体算例的数值计算结果与已有结果有较好的一致性。结果表明,随着哈特曼数和卡森流体参数的增加,动量边界层减小。发现温度是产热量和导热系数参数的启蒙函数。
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引用次数: 3
Numerical simulation of a temperature field during multi-beads surface welding 多焊道表面焊接温度场的数值模拟
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.05
R. Koňar, M. Mičian, M. Málek, Jozef Šutka, M. Gucwa, J. Winczek
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引用次数: 2
Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences 应用科学中分数模型求解的同调摄动Shehu变换方法
IF 1 Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.17512/JAMCM.2021.1.07
Shehu Maitama, Weidong Zhao
. Using the recently proposed homotopy perturbation Shehu transform method (HPSTM), we successfully construct reliable solutions of some important fractional models arising in applied physical sciences. The nonlinear terms are decomposed using He’s polynomials, and the fractional derivative is calculated in the Caputo sense. Using the analytical method, we obtained the exact solution of the fractional diffusion equation, fractional wave equation and the nonlinear fractional gas dynamic equation.
.利用最近提出的同伦微扰Shehu变换方法(HPSTM),我们成功地构造了应用物理科学中出现的一些重要分数模型的可靠解。非线性项使用He多项式进行分解,并在Caputo意义上计算分数导数。利用解析方法,得到了分数阶扩散方程、分数阶波动方程和非线性分数阶气体动力学方程的精确解。
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引用次数: 8
Means in money exchange operations 指的是货币兑换业务
IF 1 Q3 Mathematics Pub Date : 2021-01-18 DOI: 10.17512/jamcm.2023.1.01
J. Bojarski, J. Matkowski
It is observed that in some money exchange operations, the applied $n$ -variable mean $M$ should be self reciprocally-conjugate, i.e. it should satisfy the equality [ Mleft( x_{1},ldots,x_{n}right) Mleft( frac{1}{x_{1}},ldots,frac{1}{x_{n}} right) =1,quad x_{1},ldots,x_{n}>0. ] The main result says that the only weighted quasiarithmetic mean satisfying this condition is the weighet geometric mean.
可以观察到,在一些货币兑换操作中,应用的$n$-变量均值$M$应该是自倒数共轭的,即它应该满足等式[Mleft(x_{1},ldots,x_{n}right)Mleft(frac{1}{x_{1},ldot,frac{1}{x_{n}}right)=1,fquad x_{1}, ldots,x_{n}>0主要结果表明,唯一满足这一条件的加权拟算术平均数是地磅几何平均数。
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引用次数: 0
期刊
Journal of Applied Mathematics and Computational Mechanics
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