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Modified (2+1)-dimensional displacement shallow water wave system and its approximate similarity solutions 被引量:4
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作者 刘萍 付培凯 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第9期30-36,共7页
Recently, a new (2+1)-dimensional shallow water wave system, the (2+1)-dlmenslonal displacement shallow water wave system (2DDSWWS), was constructed by applying the variational principle of the analytic mechan... Recently, a new (2+1)-dimensional shallow water wave system, the (2+1)-dlmenslonal displacement shallow water wave system (2DDSWWS), was constructed by applying the variational principle of the analytic mechanics in the Lagrange coordinates. The disadvantage is that fluid viscidity is not considered in the 2DDSWWS, which is the same as the famous Kadomtsev-Petviashvili equation and Korteweg-de Vries equation. Applying dimensional analysis, we modify the 2DDSWWS and add the term related to the fluid viscidity to the 2DDSWWS. The approximate similarity solutions of the modified 2DDSWWS (M2DDSWWS) is studied and four similarity solutions are obtained. For the perfect fluids, the coefficient of kinematic viscosity is zero, then the M2DDSWWS will degenerate to the 2DDSWWS. 展开更多
关键词 modified (2+1)-dimensional displacement shallow water wave system viscidity approx-imate similarity solutions Kadomtsev-Petviashvili equation
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Assessing Suitability of Rural Settlements Using an Improved Technique for Order Preference by Similarity to Ideal Solution 被引量:4
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作者 LIU Yanfang CUI Jiaxing +1 位作者 KONG Xuesong ZENG Chen 《Chinese Geographical Science》 SCIE CSCD 2016年第5期638-655,共18页
Land suitability assessment is a prerequisite phase in land use planning; it guides toward optimal land use by providing information on the opportunities and constraints involved in the use of a given land area. A geo... Land suitability assessment is a prerequisite phase in land use planning; it guides toward optimal land use by providing information on the opportunities and constraints involved in the use of a given land area. A geographic information system-based procedure, known as rural settlement suitability evaluation(RSSE) using an improved technique for order preference by similarity to ideal solution(TOPSIS), was adopted to determine the most suitable area for constructing rural settlements in different geographical locations. Given the distribution and independence of rural settlements, a distinctive evaluation criteria system that differed from that of urban suitability was established by considering the level of rural infrastructure services as well as living and working conditions. The unpredictable mutual interference among evaluation factors has been found in practical works. An improved TOPSIS using Mahalanobis distance was applied to solve the unpredictable correlation among the criteria in a suitability evaluation. Uncertainty and sensitivity analyses obtained via Monte Carlo simulation were performed to examine the robustness of the model. Daye, a resource-based city with rapid economic development, unsatisfied rural development, and geological environmental problems caused by mining, was used as a case study. Results indicate the following findings: 1) The RSSE model using the improved TOPSIS can assess the suitability of rural settlements, and the suitability maps generated using the improved TOPSIS have higher information density than those generated using traditional TOPSIS. The robustness of the model is improved, and the uncertainty is reduced in the suitability results. 2) Highly suitable land is mainly distributed in the northeast of the study area, and the majority of which is cultivated land, thereby leading to tremendous pressure on the loss of cultivated land. 3) Lastly, 12.54% of the constructive expansion permitted zone and 8.36% of the constructive expansion conditionally permitted zone are situated in an unsuitable area, which indicates that the general planning of Daye lacks the necessary verification of suitability evaluation. Guidance is provided on the development strategy of rural settlement patches to support decision making in general land use planning. 展开更多
关键词 rural settlement suitability evaluation technique for order preference by similarity to ideal solution mahalanobis distance Daye City
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Similarity solutions for the mixed convection flow over a vertical plate with thermal radiation 被引量:1
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作者 Anuar Ishak Nor Azizah Yacob +1 位作者 Roslinda Nazar Ioan Pop 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2010年第2期149-153,共5页
The steady laminar boundary layer flow adjacent to a vertical plate with prescribed surface temperature immersed in an incompressible viscous fluid,where the effect of thermal radiation was taken into consideration,wa... The steady laminar boundary layer flow adjacent to a vertical plate with prescribed surface temperature immersed in an incompressible viscous fluid,where the effect of thermal radiation was taken into consideration,was investigated.The governing partial differential equations were transformed into a system of ordinary differential equations using similarity transformation,before being solved numerically by the shooting method.Both assisting and opposing buoyant flows were considered.It is found that dual solutions exist for both cases. Moreover,numerical results show that the heat transfer rate at the surface decreases in the presence of the radiation effect. 展开更多
关键词 boundary layer heat transfer thermal radiation similarity solution
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Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet 被引量:1
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作者 M. A. A. HAMAD M. FERDOWS 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第7期923-930,共8页
The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet are analyzed. The stretching velocity is assumed to vary as a power function of the dist... The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet are analyzed. The stretching velocity is assumed to vary as a power function of the distance from the origin. The governing partial differential equation and auxiliary conditions are reduced to coupled nonlinear ordinary differential equations with the appropriate corresponding auxiliary conditions. The resulting nonlinear ordinary differential equations (ODEs) are solved numerically. The effects of various relevant parameters, namely, the Eckert number Ec, the solid volume fraction of the nanoparticles ~, and the nonlinear stretching parameter n are discussed. The comparison with published results is also presented. Different types of nanoparticles are studied. It is shown that the behavior of the fluid flow changes with the change of the nanoparticles type. 展开更多
关键词 NANOFLUID nonlinearly stretching sheet similarity solution nonlinearordinary equation partial differential equation viscous flow
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Conditional Similarity Solutions of (2+1)—Dimensional General nonintegrable KdV Equation 被引量:1
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作者 TANGXiao-Yan LOUSen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第2期139-144,共6页
The real physics models are usually quite complex with some arbitrary parameters which will lead to the nonintegrability of the model. To find some exact solutions of a nonintegrable model with some arbitrary paramete... The real physics models are usually quite complex with some arbitrary parameters which will lead to the nonintegrability of the model. To find some exact solutions of a nonintegrable model with some arbitrary parameters is much more difficult than to find the solutions of a model with some special parameters. In this paper, we make a modification for the usual direct method to find some conditional similarity solutions of a (2+1)-dimensional general nonintegrable KdV equation. 展开更多
关键词 similarity solutions modified direct method (2+1)-dimensional general KdV equation
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Similarity solutions to a laminar boundary layer problem in power law fluids 被引量:1
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作者 LiancunZheng XinxinZhang 《Journal of University of Science and Technology Beijing》 CSCD 2002年第2期104-106,共3页
A suitable similarity transformation is introduced to reduce the laminarboundary layer equations of power law fluids to a class of singular nonlinear two-point boundaryvalue problems. The kin friction and shear stress... A suitable similarity transformation is introduced to reduce the laminarboundary layer equations of power law fluids to a class of singular nonlinear two-point boundaryvalue problems. The kin friction and shear stress distributions for boundary layer flow over amoving flat plate are investigated by utilizing the shooting technique. Results indicate that foreach fixed value of the power law exponent n or the velocity ratio parameter xi, the skin frictionand shear stress decrease with the increasing of n or xi respectively. 展开更多
关键词 boundary layer skin friction similarity solution shooting technique
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Symmetry Analysis and Similarity Solutions of a Resonant Davey-Stewartson System
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作者 GAO Yuan TANG Xiao-Yan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第10期581-587,共7页
Lie point symmetry analysis is performed to a recently proposed(2+1)-dimensional nonlinear system,theresonant Davey-Stewartson equation.Some similarity solutions of the RDS equation are thus obtained.
关键词 resonant Davey-Stewartson system SYMMETRY similarity solution
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SIMILARITY SOLUTION OF SELF-WEIGHT CONSOLIDATION PROBLEM FOR SATURATED SOIL
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作者 谢新宇 张继发 曾国熙 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第9期1165-1171,共7页
A more general assumption than that in the classical one-dimensional large strain consolidation theory is adopted and the exact analytical solution of nonlinear finite strain self-weight consolidation based on this as... A more general assumption than that in the classical one-dimensional large strain consolidation theory is adopted and the exact analytical solution of nonlinear finite strain self-weight consolidation based on this assumption is obtained. By applying the same experimental data, the comparison of the solutions of linear and nonlinear finite strain theory, as well as the numerical calculating results based on finite element method is presented. The results of the comparison show that the analytical solution obtained here takes on better agreement with practical cases than that of linear one, and they also show that, compared with the solutions based on nonlinear theory, the settlement and the consolidation degree based on linear theory are smaller. 展开更多
关键词 self-weight consolidation Burgers equation large stlain Lie group transformation similarity solution
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Similarity Analytic Solutions of a 3D-Fractal Nanofluid Uncoupled System Optimized by a Fractal Symmetric Tangent Function
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作者 Rabha W.Ibrahim Ahmed M.Ajaj +1 位作者 Nadia M.G.Al-Saidi Dumitru Balean 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第1期221-232,共12页
The science of strategy(game theory)is known as the optimal decision-making of autonomous and challenging players in a strategic background.There are different strategies to complete the optimal decision.One of these ... The science of strategy(game theory)is known as the optimal decision-making of autonomous and challenging players in a strategic background.There are different strategies to complete the optimal decision.One of these strategies is the similarity technique.Similarity technique is a generalization of the symmetric strategy,which depends only on the other approaches employed,which can be formulated by altering diversities.One of these methods is the fractal theory.In this investigation,we present a new method studying the similarity analytic solution(SAS)of a 3D-fractal nanofluid system(FNFS).The dynamic evolution is completely given by the concept of differential subordination and majorization.Subordination andmajorization relationships are the sets of observable individualities.Game theory can simplify the conditions under which particular sets combine.We offer an explicit construction for the complex possible velocity,energy and thermal functions of two-dimensional fluid flow(the complex variable is suggested in the open unit disk,where the disk is selected at a constant temperature and concentration with uniform velocity).We establish that whenever the 3D-fractal nanofluid systemis approximated by a fractal function,the solution has the same property,so a class of fractal tangent function gives SAS.Finally,we demonstrate some simulations and examples that give the consequences of this methodology. 展开更多
关键词 Analytic function open unit disk subordination and super-ordination fractional chaotic function similarity solution symmetry fractal fluid
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Similarity solutions of Prandtl mixing length modelled two dimensional turbulent boundary layer equations
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作者 Bo-Hua Sun 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2022年第3期184-188,共5页
The exact similarity solutions of two dimensional laminar boundary layer were obtained by Blasius in 1908,however,for two dimensional turbulent boundary layers,no Blasius type similarity solutions(special exact soluti... The exact similarity solutions of two dimensional laminar boundary layer were obtained by Blasius in 1908,however,for two dimensional turbulent boundary layers,no Blasius type similarity solutions(special exact solutions)have ever been found.In the light of Blasius’pioneer works,we extend Blasius similarity transformation to the two dimensional turbulent boundary layers,and for a special case of flow modelled by Prandtl mixing-length,we successfully transform the two dimensional turbulent boundary layers partial differential equations into a single ordinary differential equation.The ordinary differential equation is numerically solved and some useful quantities are produced.For numerical calculations,a complete Maple code is provided. 展开更多
关键词 Turbulent boundary layers Laminar boundary layers similarity transformation similarity solution Prandtl mixing length Reynolds number
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Symmetry and Similarity Solutions of a (2+1)-Dimensional Generalized Broer-Kaup System
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作者 LI Jun-Min DING Wei TANG Xiao-Yan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期1058-1062,共5页
We study the symmetries of a (2+1)-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, severaJ types of sim... We study the symmetries of a (2+1)-dimensional generalized Broer-Kaup system by means of the classical Lie group theory. The corresponding group algebra is constructed. Based on the symmetries, severaJ types of similarity solutions are obtained. 展开更多
关键词 (2+1) dimensional GBK system classical Lie group approach SYMMETRY similarity solution
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THE SIMILAR SOLUTIONS OF NONLINEAR HEAT CONDUCTION EQUATION
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作者 袁镒吾 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第9期905-912,共8页
In reference [1]. the wave solutions of nonlinear heat conduction equation arestudied In it the similar variable ξis wave variable and it is assumed that the heat conduction coefficient is only the function of the si... In reference [1]. the wave solutions of nonlinear heat conduction equation arestudied In it the similar variable ξis wave variable and it is assumed that the heat conduction coefficient is only the function of the similar variable ξIn this paper the author forsakes the above-mentioned restraints and studies the similar solutions of the nonlinear conduction equation from the more general angles . 展开更多
关键词 heat conduction nonlinear. similar solution
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Similarity Solutions for Laminar Boundary Layer Flow of Darcian Fluid over Horizontal Plate with a Convective Boundary Condition
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作者 Rama Charan Chaudhary Gopal Naraian Purohit Preeti Garg 《Applied Mathematics》 2016年第3期313-319,共7页
This paper considers the problem of hydrodynamics and thermal boundary layers of Darcy flow over horizontal surface embedded in a porous medium. The solutions of such problems for the cases of uniform surface temperat... This paper considers the problem of hydrodynamics and thermal boundary layers of Darcy flow over horizontal surface embedded in a porous medium. The solutions of such problems for the cases of uniform surface temperature and variable surface temperature have been studied and analysed in many papers. This paper, however, attempts to find similarity solutions for the Darcy flow problem with a convective boundary condition at the plate surface. It is found that the solution is possible when the heat transfer coefficient is proportional to x<sup>–2/3</sup>. The numerical solutions thus obtained are analyzed for a range of values of the parameter characterizing the hot fluid convection process. Analytical expressions are provided for local surface heat flux and total surface heat transfer rate while the flow variables are discussed graphically. 展开更多
关键词 similarity solution Horizontal Plate Heat Transfer Rate Darcy Flow Convective Boundary Condition
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Similarity Solutions of Unsteady Mixed Convective Boundary Layer Flow of Viscous Incompressible Fluid along Isothermal Horizontal Plate
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作者 Mohammed Nasir Uddin Md. Yeakub Ali +1 位作者 N. M. Ridwan Zahed Md. Jashim Uddin 《Open Journal of Fluid Dynamics》 2016年第4期279-302,共24页
Unsteady mixed convective boundary layer flow of viscous incompressible fluid along isothermal horizontal plate is analyzed through Similarity Solutions. The governing partial differential equations are transformed in... Unsteady mixed convective boundary layer flow of viscous incompressible fluid along isothermal horizontal plate is analyzed through Similarity Solutions. The governing partial differential equations are transformed into ordinary differential equations using the similarity transformation and solved numerically along with shooting technique. The flow field for the fluid velocity, temperature and concentration at the plate surface are significantly influenced by the governing parameters such as unsteadiness parameter, permeability parameter, Prandtl number, Schmidt number and the other driving parameters. The results show that both fluid velocity and temperature decrease but no significant effect on concentration for the increasing values of Prandtl number. It is also exposed that velocity and concentration is higher at lower Schmidt number for low Prandtl fluid. Finally, the dependency of the Skin-friction co-efficient, Nusselt number and Sherwood number, which are of physical interest, are also illustrated in tabular form for the governing parameters. 展开更多
关键词 similarity solution Unsteady Flow Mixed Convection Boundary Layer Flow Horizontal Plate Incompressible Fluid
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An Evaluation of the Critical Success Factors in Sustainable Food Supply Chains in Developing Countries
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作者 Muhammad Ahasan Habib Deen Islam Preyo +1 位作者 Muhammad Kamruzzaman Ahasan Md. Maruf Hossain 《World Journal of Engineering and Technology》 2024年第3期466-492,共27页
Food is one of the biggest industries in developed and underdeveloped countries. Supply chain sustainability is essential in established and emerging economies because of the rising acceptance of cost-based outsourcin... Food is one of the biggest industries in developed and underdeveloped countries. Supply chain sustainability is essential in established and emerging economies because of the rising acceptance of cost-based outsourcing and the growing technological, social, and environmental concerns. The food business faces serious sustainability and growth challenges in developing countries. A comprehensive analysis of the critical success factors (CSFs) influencing the performance outcome and the sustainable supply chain management (SSCM) process. A theoretical framework is established to explain how they are used to examine the organizational aspect of the food supply chain life cycle analysis. This study examined the CSFs and revealed the relationships between them using a methodology that included a review of literature, interpretative structural modeling (ISM), and cross-impact matrix multiplication applied in classification (MICMAC) tool analysis of soil liquefaction factors. The findings of this research demonstrate that the quality and safety of food are important factors and have a direct effect on other factors. To make sustainable food supply chain management more adequate, legislators, managers, and experts need to pay attention to this factor. In this work. It also shows that companies aiming to create a sustainable business model must make sustainability a fundamental tenet of their organization. Practitioners and managers may devise effective long-term plans for establishing a sustainable food supply chain utilizing the recommended methodology. 展开更多
关键词 Supply Chain Collaboration Interpretative Structural Modeling Cross-Impact Matrix Multiplication SUSTAINABILITY Critical Success Factors Multi-Criteria Decision Making Technique for Order of Preference by similarity to Idea solution
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Approximate solutions to MHD Falkner-Skan flow over permeable wall 被引量:2
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作者 苏晓红 郑连存 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第4期401-408,共8页
The magnetohydrodynamic (MHD) Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic field is examined. The approximate solutions and skin friction coefficients of the MHD bo... The magnetohydrodynamic (MHD) Falkner-Skan boundary layer flow over a permeable wall in the presence of a transverse magnetic field is examined. The approximate solutions and skin friction coefficients of the MHD boundary layer flow are obtained by using a method that couples the differential transform method (DTM) with the Pade approximation called DTM-Pade. The approximate solutions are expressed in the form of a power series that can be easily computed with an iterative procedure. The approximate solutions are tabulated, plotted for the values of different parameters and compared with the numerical ones obtained by employing the shooting technique. It is found that the approximate solution agrees very well with the numerical solution, showing the reliability and validity of the present work. Moreover, the effects of various physical parameters on the boundary layer flow are presented graphically and discussed. 展开更多
关键词 Falkner-Skan similarity solution magnetohydrodynamic (MHD) boundary layer flow differential transform method (DTM)
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Note on Barenblatt power series solution to Boussinesq equation
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作者 宋志尧 李凌 David Lockington 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第6期823-828,共6页
To the serf-similar analytical solution of the Boussinesq equation of groundwater flow in a semi-infinite porous medium, when the hydraulic head at the boundary behaved like a power of time, Barenblatt obtained a powe... To the serf-similar analytical solution of the Boussinesq equation of groundwater flow in a semi-infinite porous medium, when the hydraulic head at the boundary behaved like a power of time, Barenblatt obtained a power series solution. However, he listed only the first three coefficients and did not give the recurrent formula among the coefficients. A formal proof of convergence of the series did not appear in his works. In this paper, the recurrent formula for the coefficients is obtained by using the method of power series expansion, and the convergence of the series is proven. The results can be easily understood and used by engineers in the catchment hydrology and baseflow studies as well as to solve agricultural drainage problems. 展开更多
关键词 power series expansion similarity solution recurrent formula CONVERGENCE
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Analytical solution of magnetohydrodynamic sink flow
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作者 章骥 方铁钢 钟永芳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第10期1221-1230,共10页
An analytical solution to the famous Falkner-Skan equation for the magnetohydrodynamic (MHD) flow is obtained for a special case, namely, the sink flow with a velocity power index of-1. The solution is given in a cl... An analytical solution to the famous Falkner-Skan equation for the magnetohydrodynamic (MHD) flow is obtained for a special case, namely, the sink flow with a velocity power index of-1. The solution is given in a closed form. Multiple solution branches are obtained. The effects of the magnetic parameter and the wall stretching parameter are analyzed. Interesting velocity profiles are observed with reversal flow regions even for a stationary wall. These solutions provide a rare case of the Falkner-Skan MHD flow with an analytical closed form formula. They greatly enrich the analytical solution for the celebrated Falkner-Skan equation and provide better understanding of this equation. 展开更多
关键词 similarity solution Falkner-Skan equation stretching surface magnetohydrodynamic (MHD) analytical solution sink flow
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基于组合赋权-TOPSIS模型的机场运行效率评价 被引量:2
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作者 胡杰 鲍帆 《系统仿真学报》 CAS CSCD 北大核心 2023年第12期2570-2581,共12页
为提高机场运行效率评价结果的科学性和全面性,提出了一种基于组合赋权-TOPSIS(technique for order performance by similarity to ideal solution)模型的机场运行效率评价方法。从机位运行效率、旅客登机效率、飞机滑行效率和协同效率... 为提高机场运行效率评价结果的科学性和全面性,提出了一种基于组合赋权-TOPSIS(technique for order performance by similarity to ideal solution)模型的机场运行效率评价方法。从机位运行效率、旅客登机效率、飞机滑行效率和协同效率4个维度出发,构建了由航班靠桥率、廊桥周转率、机位变更比例等11个指标组成的机场运行效率评价体系;利用G1法、熵权法分别计算评价指标主观和客观权重,以最小化主客观加权属性偏离程度为目标计算组合权重;使用TOPSIS计算待评价机场综合评价指数。利用该模型分析国内3类共8家机场的运行效率,可以得到各评价对象的运行效率等级和综合排名。结果表明:该模型能够有效探明影响机场运行效率的主要因素,具有一定的参考价值。 展开更多
关键词 运行效率评价 组合赋权 G1法 熵权法 TOPSIS(technique for order performance by similarity to ideal solution)
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面向自愈的智能配电网免疫力评估方法 被引量:1
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作者 张瑜 高菲 +2 位作者 皮谭昕 姚丽娟 武昕 《现代电力》 北大核心 2023年第3期408-418,共11页
自愈是智能配电网区别于传统配电网的显著特征,为提高各项自愈技术实用化水平,需要准确掌握智能配电网整体免疫力水平。因此,借鉴人体免疫系统机理,提出了智能配电网免疫系统,包括免疫耐受、免疫自稳、免疫识别、免疫应答和免疫恢复5类... 自愈是智能配电网区别于传统配电网的显著特征,为提高各项自愈技术实用化水平,需要准确掌握智能配电网整体免疫力水平。因此,借鉴人体免疫系统机理,提出了智能配电网免疫系统,包括免疫耐受、免疫自稳、免疫识别、免疫应答和免疫恢复5类功能,在此基础上,提出了基于改进层次分析法与逼近理想解距离法相结合的智能配电网免疫力评估模型构建方法,并构建了智能配电网免疫力评估指标体系以及智能配电网免疫力评估模型。此评估模型能够全面且多层次地考虑影响智能配电网免疫力强弱的各类因素,在实际应用中为智能配电网精细化运维检修和管理提供理论参考。 展开更多
关键词 配电网免疫力 评估指标 评估模型 改进层次分析法(improved analytic hierarchy process) 逼近理想解距离法(technique for order preference by similarity to ideal solution TOPSIS)
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