Journal of the Nigerian Mathematical Society最新文献_第3页

Some extensions and generalizations of Eneström–Kakeya theorem Eneström-Kakeya定理的一些推广和推广

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.03.002

A.A. Mogbademu , S. Hans , J.A. Adepoju

引用次数: 2

The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink 在热源/热源存在的情况下，二级流体在具有可变热导率和粘度的拉伸薄片上的流动

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.10.002

Temitope E. Akinbobola, Samuel S. Okoya

{"title":"The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink","authors":"Temitope E. Akinbobola, Samuel S. Okoya","doi":"10.1016/j.jnnms.2015.10.002","DOIUrl":"10.1016/j.jnnms.2015.10.002","url":null,"abstract":"<div><p>Steady two-dimensional non-Newtonian second grade fluid is studied under the influence of temperature dependent viscosity and thermal conductivity. The viscosity is assumed to vary inversely as linear function of temperature while the thermal conductivity varies directly as linear function of temperature. Also, effects of radiative heat, viscous dissipation and heat source/sink are considered in the energy equation. The basic governing partial differential equations for the velocity and temperature are transformed to ordinary differential equations (ODEs) using appropriate similarity variables. These coupled nonlinear ODEs have been solved approximately subject to appropriate boundary conditions by Runge–Kutta shooting technique. The quantitative effects of emerging dimensionless physical parameters on the velocity, temperature, skin friction and heat transfer rate are displayed graphically. The numerical investigation of the variable thermo-physical properties of a second grade fluid over a stretching sheet provides an extension to previous work.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 3","pages":"Pages 331-342"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.10.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86491750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 70

Existence results for a fourth order multipoint boundary value problem at resonance 一类共振处四阶多点边值问题的存在性结果

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.08.003

S.A. Iyase

引用次数: 3

Motion around L4,5 in the relativistic R3BP with smaller triaxial primary 相对论性R3BP中l4,5周围的运动，具有较小的三轴原星

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.07.001

Nakone Bello , Jagadish Singh

引用次数: 0

Mathematical model for velocity and temperature of gravity-driven convective optically thick nanofluid flow past an oscillating vertical plate in presence of magnetic field and radiation 重力驱动对流光学厚纳米流体在磁场和辐射作用下流经振荡垂直板的速度和温度数学模型

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.08.005

Hari R. Kataria , Akhil S. Mittal

引用次数: 64

Numerical solution for hydromagnetic boundary layer flow and heat transfer past a stretching surface embedded in non-Darcy porous medium with fluid-particle suspension 流体颗粒悬浮液嵌入非达西多孔介质中拉伸表面的磁流体边界层流动和传热数值解

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.07.003

B.J. Gireesha , B. Mahanthesh , P.T. Manjunatha , R.S.R. Gorla

{"title":"Numerical solution for hydromagnetic boundary layer flow and heat transfer past a stretching surface embedded in non-Darcy porous medium with fluid-particle suspension","authors":"B.J. Gireesha , B. Mahanthesh , P.T. Manjunatha , R.S.R. Gorla","doi":"10.1016/j.jnnms.2015.07.003","DOIUrl":"10.1016/j.jnnms.2015.07.003","url":null,"abstract":"<div><p>This paper investigates the problem of MHD boundary layer flow and heat transfer of an electrically conducting dusty fluid over an unsteady stretching surface through a non-Darcy porous medium. The flow in porous medium is described by employing the Darcy–Forchheimer based model. The unsteadiness in the flow and temperature fields are because of time-dependent stretching velocity and surface temperature. The effect of thermal radiation, viscous dissipation and non-uniform heat source/sink are also taken into account. The pertinent time-dependent equations, governing the flow and heat transfer are reduced into a set of non-linear ordinary differential equations with the aid of suitable similarity transformations. The transformed equations are numerically integrated using fourth–fifth order Runge–Kutta–Fehlberg method. The effects of various physical parameters on the velocity and temperature profiles of both phases are analyzed through several plots. Obtained numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. It is found that, by suspending fine dust particles in the clean fluid reduces the thermal boundary layer thickness. Therefore, the dusty fluids are preferable in engineering and scientific applications, involving cooling processes.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 3","pages":"Pages 267-285"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.07.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86159759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 75

Analysis of skin friction in MHD Falker–Skan flow problem MHD Falker-Skan流动问题的表面摩擦分析

Journal of the Nigerian Mathematical Society Pub Date : 2015-08-01 DOI: 10.1016/j.jnnms.2014.11.001

R.A. Oderinu, Y.A.S. Aregbesola

引用次数: 2

Heat transfer with radiation and temperature dependent heat source in MHD free convection flow in a porous medium between two vertical wavy walls 两个垂直波壁间多孔介质中MHD自由对流的辐射和温度相关热源传热

Journal of the Nigerian Mathematical Society Pub Date : 2015-08-01 DOI: 10.1016/j.jnnms.2014.12.001

M.S. Dada , A.B. Disu

引用次数: 13

Implicit two-derivative Runge–Kutta collocation methods for systems of initial value problems 初值问题系统的隐式二阶龙格-库塔配置方法

Journal of the Nigerian Mathematical Society Pub Date : 2015-08-01 DOI: 10.1016/j.jnnms.2015.01.001

D.G. Yakubu, A.M. Kwami

{"title":"Implicit two-derivative Runge–Kutta collocation methods for systems of initial value problems","authors":"D.G. Yakubu, A.M. Kwami","doi":"10.1016/j.jnnms.2015.01.001","DOIUrl":"10.1016/j.jnnms.2015.01.001","url":null,"abstract":"<div><p>We introduce a new class of implicit two-derivative Runge–Kutta collocation methods designed for the numerical solution of systems of equations and show how they have been implemented in an efficient parallel computing environment. We also discuss the difficulty associated with large systems and how, in this case, one must take advantage of the second derivative terms in the methods. We consider two modified versions of the methods which are suitable for solving stable systems. The first modification involves the introduction of collocation at the two end points of the integration interval in addition to the Gaussian interior collocation points and the second involves the introduction of a different class of basic second derivative methods. With these modifications, fewer function evaluations per step are achieved, resulting into methods that are cheap and easy to implement. The stability properties of these methods are investigated and numerical results are given for each of the modified version to illustrate the computational efficiency of the modified methods.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 2","pages":"Pages 128-142"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.01.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76573469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

MHD radiative boundary layer flow of nanofluid past a vertical plate with internal heat generation/absorption, viscous and ohmic dissipation effects 纳米流体通过垂直板的MHD辐射边界层流动，具有内部热产生/吸收、粘性和欧姆耗散效应

Journal of the Nigerian Mathematical Society Pub Date : 2015-08-01 DOI: 10.1016/j.jnnms.2015.04.001

B. Ganga , S. Mohamed Yusuff Ansari , N. Vishnu Ganesh , A.K. Abdul Hakeem

{"title":"MHD radiative boundary layer flow of nanofluid past a vertical plate with internal heat generation/absorption, viscous and ohmic dissipation effects","authors":"B. Ganga , S. Mohamed Yusuff Ansari , N. Vishnu Ganesh , A.K. Abdul Hakeem","doi":"10.1016/j.jnnms.2015.04.001","DOIUrl":"10.1016/j.jnnms.2015.04.001","url":null,"abstract":"<div><p>A mathematical analysis has been carried out to investigate the effects of internal heat generation/absorption, viscous and ohmic dissipations on steady two-dimensional radiative MHD boundary-layer flow of a viscous, incompressible, electrically conducting nanofluid over a vertical plate. A system of governing nonlinear PDEs is converted into a set of nonlinear ODEs by suitable similarity transformations and then solved analytically using HAM and numerically by the fourth order Runge–Kutta integration scheme with shooting method. The effects of different controlling parameters on the dimensionless velocity, temperature and nanoparticle volume fraction profiles are discussed graphically. The reduced Nusslet number and the local Sherwood number are also discussed graphically. It is found that the presence of viscous dissipation, heat generation and magnetic field accelerates the temperature and decelerates the nanosolid volume fraction profile. Furthermore, comparisons have been made with bench mark solutions for a special case and obtained a very good agreement.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"34 2","pages":"Pages 181-194"},"PeriodicalIF":0.0,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.04.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78464698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 50