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Potential-based boundary element method to calculate the hydrodynamic drift force on the floating cylinder 基于势的边界元法计算浮体水动力漂移力
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.06
H. Ghafari, M. Motallebi, H. Ghassemi
{"title":"Potential-based boundary element method to calculate the hydrodynamic drift force on the floating cylinder","authors":"H. Ghafari, M. Motallebi, H. Ghassemi","doi":"10.17512/jamcm.2020.4.06","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.06","url":null,"abstract":"This paper presents the calculation of the hydrodynamic drift force by using the potetial-based boundary element method (BEM). The potential theory and far-field wave drift forces solution will be described. The comparison of non-dimensional drift force for surge and heave motions are in good agreement between numerical and experimental data. The effect of different drafts and the radius of a cylinder on the drift forces (surge, heave and pitch) are presented and discussed. MSC 2010: 31B25, 76B15, 76B07","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49109155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium 含非达西多孔介质的圆柱管中牛顿流体的含尘时间分数MHD流动
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.09
Imo Mani Singha, S. Sengupta
{"title":"Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium","authors":"Imo Mani Singha, S. Sengupta","doi":"10.17512/jamcm.2020.4.09","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.09","url":null,"abstract":". In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42900177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Analogy between thermal and mass diffusion effects of a free convective flow in rectangular enclosure 矩形外壳内自由对流的热扩散和质量扩散效应的相似性
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.01
V. Ambethkar
{"title":"Analogy between thermal and mass diffusion effects of a free convective flow in rectangular enclosure","authors":"V. Ambethkar","doi":"10.17512/jamcm.2020.4.01","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.01","url":null,"abstract":". In this investigation, the analogy between thermal and mass diffusive effects of a free convective flow in a rectangular enclosure is emphasized. The upwind finite volume method is used to discretize the governing equations of the continuity, momentum, energy and mass transfer. The novelty in this exploration is to appropriately modify the well-known Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm so that it suits to the present problem and thereby, the new flow variables such as the temperature and the concentration are computed. An empirical correlation for the average Sherwood number ( Sh ) that does not exist in literature is suggested in this work. The average Sherwood numbers for distinct fluids (gases and liquids) are calculated, and mass diffusion effects within the horizontal rectangle are analyzed. The average Nusselt numbers ( Nu ) are calculated for distinct fluids such as liquids ( Pr (cid:29) 1), liquid metals ( Pr (cid:28) 1) and gases ( Pr < 1) for different Rayleigh numbers in the range of 3 × 10 5 ≤ Ra L ≤ 7 × 10 9 from relevant empirical correlations existing in the literature. Accordingly, the thermal diffusion effects within the horizontal rectangle are analyzed.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43311086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Effects of the porous boundary and inclined magnetic field on MHD flow in a rectangular duct 多孔边界和倾斜磁场对矩形管道内MHD流动的影响
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.03
Muhim Chutia
{"title":"Effects of the porous boundary and inclined magnetic field on MHD flow in a rectangular duct","authors":"Muhim Chutia","doi":"10.17512/jamcm.2020.4.03","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.03","url":null,"abstract":"In this work, a steady two dimensional MHD flow of a viscous incompressible fluid through a rectangular duct under the action of an inclined magnetic field with a porous boundary has been investigated. The coupled partial differential equations are transformed into a system of algebraic equations using the finite difference method and are then solved simultaneously using the Gauss Seidal iteration method by programming in Matlab software. Numerical solutions for velocity, induced magnetic field and current density lines are obtained and analyzed for different values of dimensionless parameters namely suction/ /injection parameter ( ), Hartmann number ( ) and inclination angle ( ) and are presented graphically. MSC 2010: 76D05, 76W05, 76M20","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47196384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder 基于Mori-Tanaka格式的增压功能梯度圆柱体弹性解
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.05
M. Eker, D. Yarımpabuç, A. Yıldırım, K. Celebi
{"title":"Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder","authors":"M. Eker, D. Yarımpabuç, A. Yıldırım, K. Celebi","doi":"10.17512/jamcm.2020.4.05","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.05","url":null,"abstract":". In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42986727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Numerical and analytical calculations of the free surface flow between two semi-infinite straights 两条半无限长直线间自由表面流动的数值和分析计算
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.02
Fatma Zohra Chedala, A. Amara, M. Meflah
{"title":"Numerical and analytical calculations of the free surface flow between two semi-infinite straights","authors":"Fatma Zohra Chedala, A. Amara, M. Meflah","doi":"10.17512/jamcm.2020.4.02","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.02","url":null,"abstract":"The problem of two-dimensional flow with the free surface of the jet in a region between two semi-infinite straights intersections at point O is calculated analytically for each angle Beta and numerically for each of the various values of the Weber number and angle Beta. By assuming that the flow is potential, irrotational and that the fluid is incompressible and inviscid, and by taking account only the surface tension for a numerical method using the series truncation, and without the effect of gravity and surface tension for the analytic method utilize the hodograph transformation. The obtained results confirmed a good agreement between them when the Weber number tends to infinity, and the comparison of these surface shapes is illustrated. MSC 2010: 30C30, 65E05, 76B07, 76D05, 76D45","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42133686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New aspects on the fractional Euler-Lagrange equation with non-singular kernels 非奇异核分数阶欧拉-拉格朗日方程的新进展
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.08
Norodin A. Rangaig
{"title":"New aspects on the fractional Euler-Lagrange equation with non-singular kernels","authors":"Norodin A. Rangaig","doi":"10.17512/jamcm.2020.4.08","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.08","url":null,"abstract":". In this paper, we presented some notes in utilizing the fractional integral counter-parts of the fractional derivatives with non-singular kernels on the action-like integral in Lagrangian mechanics. Considering a fractional integral, it may suggest that a dissipative term on the resulting fractional Euler-Lagrange equation can be obtained due to the imposed kernel. However, in the case of nonsingular kernel operators, di ff erent aspects of the fractional action-like integral were observed, and corresponding (fractionally-modified) Euler-Lagrange were derived, which imposes new insights on the dynamical system under the fractional regime.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47979448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems 奇异摄动非线性一维反应扩散边值问题的自适应网格有限差分法
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-12-01 DOI: 10.17512/jamcm.2020.4.04
Hakki Duru, B. Gunes
{"title":"The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems","authors":"Hakki Duru, B. Gunes","doi":"10.17512/jamcm.2020.4.04","DOIUrl":"https://doi.org/10.17512/jamcm.2020.4.04","url":null,"abstract":". In this paper, we study singularly perturbed nonlinear reaction-diffusion equations. The asymptotic behavior of the solution is examined. The difference scheme which is accomplished by the method of integral identities with using of interpolation quadrature rules with weight functions and remainder term integral form is established on adaptive mesh. Uniform convergence and stability of the difference method are discussed in the discrete maximum norm. The discrete scheme shows that orders of convergent rates are close to 2. An algorithm is presented, and some problems are solved to validate the theoretical results.","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48235695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Numerical simulation of channel flow over a skewed equilateral cavity 倾斜等边空腔沟道流动的数值模拟
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-09-01 DOI: 10.17512/jamcm.2020.3.03
A. Kamel, E. H. Haraz, S. Hanna
{"title":"Numerical simulation of channel flow over a skewed equilateral cavity","authors":"A. Kamel, E. H. Haraz, S. Hanna","doi":"10.17512/jamcm.2020.3.03","DOIUrl":"https://doi.org/10.17512/jamcm.2020.3.03","url":null,"abstract":"In this paper, an incompressible, two-dimensional (2D), time-dependent, Newtonian, laminar, and internal channel fluid flow over a skewed equilateral cavity is simulated using the finite difference method (FDM) and alternating direction implicit (ADI) technique. Navier-Stokes equations are solved numerically in stream function-vorticity formulation. The goal of tackling this problem depends on its academic significance by studying the difference between lid-driven and shear-driven cavity flows in terms of the formation of Moffatt eddies at the sharp corner, also to obtain the length and intensity ratios of these counter-rotating vortices. The value of velocity components along the centerlines of the skewed cavity was revealed at low and intermediate Reynolds numbers (Re), typically (Re = 200 and 2000) at two different skew angles of mainly 30° and 45°. Likewise, the blocked-off regions’ method is used to deal with the geometry of the skewed cavity especially the sharp corners. Furthermore, as Re increases, the main vortex approaches the skewed cavity center and the counter-rotating vortices get bigger in size and intensity, and their number increases. MSC 2010: 76D17, 76D05","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44994490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Slip flow of a sphere in non-concentric spherical hypothetical cell 非同心球形假想胞内球体的滑移流
IF 1
Journal of Applied Mathematics and Computational Mechanics Pub Date : 2020-09-01 DOI: 10.17512/jamcm.2020.3.05
K. Madasu
{"title":"Slip flow of a sphere in non-concentric spherical hypothetical cell","authors":"K. Madasu","doi":"10.17512/jamcm.2020.3.05","DOIUrl":"https://doi.org/10.17512/jamcm.2020.3.05","url":null,"abstract":"Slow axisymmetric flow of an incompressible viscous fluid caused by a slip sphere within a non-concentric spherical cell surface is investigated. The uniform velocity (Cunningham’s model) and tangential velocity reaches minimum along a radial direction are imposed conditions at the cell surface (Kvashnin’s model). The general solution of the problem is combined using superposition of the fundamental solution in the two spherical coordinate systems based on the centers of the slip sphere and spherical cell surface. Numerical results for the correction factor on the inner sphere are obtained with good convergence for various values of the relative distance between the centers of the sphere and spherical cell, the slip coefficient, and the volume fraction. The obtained results are in good agreement with the published results. The effect of concentration is more in the Cunningham’s model compared to the Kvashnin’s model. The wall correction factor on the no-slip sphere is more compared to that of a slip sphere. The correction factor on the slip sphere is more than that of a spherical gas bubble. MSC 2010: 76A05, 76D07, 76S05","PeriodicalId":43867,"journal":{"name":"Journal of Applied Mathematics and Computational Mechanics","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43069195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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