Journal of the Nigerian Mathematical Society最新文献_第2页

Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation 热辐射、Soret和Dufour对化学反应流体通过具有粘性耗散的半无限垂直板的非定常传热传质流动的影响

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.01.002

F.I. Alao, A.I. Fagbade, B.O. Falodun

{"title":"Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation","authors":"F.I. Alao, A.I. Fagbade, B.O. Falodun","doi":"10.1016/j.jnnms.2016.01.002","DOIUrl":"10.1016/j.jnnms.2016.01.002","url":null,"abstract":"<div><p>In this paper, the influence of some thermo-physical properties of fluid on heat and mass transfer flow past semi-infinite moving vertical plate is considered. The fluid considered is optically thin such that the thermal radiative heat loss on the fluid is modeled using Rosseland approximation. The governing equations representing the physical model is a system of partial differential equations which are transformed into systems of coupled non-linear partial differential equation by introducing non-dimensional variables. The resulting equations are solved using the spectral relaxation method (SRM). The result shows that an increase in Eckert number of the fluid actually increases the velocity and temperature profiles of the flow. Whereas an increase in thermal radiation parameter reduces the temperature distribution when the plate is being cooled. The computational results for velocity, temperature and the concentration profiles are displayed graphically for various flow pertinent parameters.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 142-158"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.01.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81303793","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: 68

Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method 用同伦分析方法研究了变热物性卡森流体在吸力和指数衰减内热作用下沿指数拉伸板的流动

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2015.02.001

I.L. Animasaun, E.A. Adebile, A.I. Fagbade

{"title":"Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method","authors":"I.L. Animasaun, E.A. Adebile, A.I. Fagbade","doi":"10.1016/j.jnnms.2015.02.001","DOIUrl":"10.1016/j.jnnms.2015.02.001","url":null,"abstract":"<div><p>This article studies the motion of temperature dependent plastic dynamic viscosity and thermal conductivity of steady incompressible laminar free convective magnetohydrodynamic (MHD) Casson fluid flow over an exponentially stretching surface with suction and exponentially decaying internal heat generation. It is assumed that the natural convection is driven by buoyancy and space dependent heat generation. The viscosity and thermal conductivity of Casson fluid is assumed to vary as a linear function of temperature. By using suitable transformation, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear coupled ordinary differential equations and solved by the Homotopy analysis method. A new kind of averaged residual error is adopted and used to find the optimal convergence control parameter. A parametric study is performed to illustrate the influence of Prandtl number, Casson parameter, temperature dependent viscosity, temperature dependent thermal conductivity, Magnetic parameter and heat source parameter on the fluid velocity and temperature profiles within the boundary layer. The flow controlling parameters are found to have a profound effect on the resulting flow profiles.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 1-17"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.02.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89175587","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: 153

Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method 一类四阶奇异奇摄动边值问题的五次b样条解法

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.03.002

Ram Kishun Lodhi, Hradyesh Kumar Mishra

引用次数: 18

The efficiency of second derivative multistep methods for the numerical integration of stiff systems 二阶导数多步法求解刚性系统数值积分的效率

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.02.002

D.G. Yakubu , S. Markus

{"title":"The efficiency of second derivative multistep methods for the numerical integration of stiff systems","authors":"D.G. Yakubu , S. Markus","doi":"10.1016/j.jnnms.2016.02.002","DOIUrl":"10.1016/j.jnnms.2016.02.002","url":null,"abstract":"<div><p>A substantial increase in efficiency is achieved by the numerical integration methods which take advantage of the second derivative terms of the differential equation to be solved. The second-derivative of high order accuracy methods are stable, convergent and hence suitable for the numerical integration of stiff systems of initial value problems in ordinary differential equations. The unique feature of the paper is the idea of using all the set of collocation points as additional interpolation points. This desirable feature of the proposed approach actually widens the applicability of the methods, to include many other types of numerical integration methods and has many advantages, including didactic advantages. Furthermore, in this formulation symmetry is retained naturally by the integration identities as equal areas under the various segments of the solution curves over the integration interval. In this way the problem of overlap of solution models usually associated with multistep finite difference methods is overcome. The applications of the second derivative multistep integration methods on a significant class of problems found in the literature produce accurate solutions with low computational cost. Comparison of the efficiency curves obtained seems to be in better agreement with the exact solutions.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 107-127"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.02.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89783314","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: 9

Impact of velocity slip and joule heating on MHD peristaltic flow through a porous medium with chemical reaction 速度滑移和焦耳加热对多孔介质化学反应中MHD蠕动流动的影响

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.02.005

Gnaneswara Reddy Machireddy, Venugopal Reddy Kattamreddy

引用次数: 44

Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity 恒定涡流粘度下变动黏度和导热系数微极流体滞止点流动的熔融换热效应

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2015.06.004

Sunday Kolawole Adegbie, Olubode Kolade Kọrikọ, Isaac Lare Animasaun

{"title":"Melting heat transfer effects on stagnation point flow of micropolar fluid with variable dynamic viscosity and thermal conductivity at constant vortex viscosity","authors":"Sunday Kolawole Adegbie, Olubode Kolade Kọrikọ, Isaac Lare Animasaun","doi":"10.1016/j.jnnms.2015.06.004","DOIUrl":"10.1016/j.jnnms.2015.06.004","url":null,"abstract":"<div><p>The two dimensional boundary layer flow of micropolar fluid towards stagnation point formed on a horizontal linearly stretching surface is investigated. Melting heat transfer at the surface, temperature and exponentially space dependent internal heat generation within fluid domain are considered. It is assumed that dynamic viscosity and thermal conductivity are temperature dependent while micropolar vortex viscosity is constant. These assumptions are discussed. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of melting heat transfer following all the necessary theories. Similarity transformations are used to convert the governing equations into non-linear boundary value problem and solved numerically. Effects of various parameters on the micropolar fluid flow and heat transfer are analyzed. The results reveal that one of the possible ways to increase transverse velocity of micropolar fluid flow over melting surface is to consider variable thermo-physical property of micropolar fluid at constant vortex viscosity with a decrease in melting parameter while velocity ratio increases. For correct analysis/investigation of micropolar fluid flow with variable properties over melting surface, the new thermo-physical models are to be considered. The velocity increases with the increase of velocity ratio under the new condition compare to classical condition (constant thermo-physical property) of micropolar fluid flow over melting surface.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 34-47"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.06.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91467958","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: 48

Effects of diffusion-thermo and thermo-diffusion on two-phase boundary layer flow past a stretching sheet with fluid-particle suspension and chemical reaction: A numerical study 扩散-热和热-扩散对两相边界层流体-颗粒悬浮和化学反应的影响:数值研究

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2015.10.003

K.L. Krupa Lakshmi , B.J. Gireesha , Rama.S.R. Gorla , B. Mahanthesh

{"title":"Effects of diffusion-thermo and thermo-diffusion on two-phase boundary layer flow past a stretching sheet with fluid-particle suspension and chemical reaction: A numerical study","authors":"K.L. Krupa Lakshmi , B.J. Gireesha , Rama.S.R. Gorla , B. Mahanthesh","doi":"10.1016/j.jnnms.2015.10.003","DOIUrl":"10.1016/j.jnnms.2015.10.003","url":null,"abstract":"<div><p>A numerical investigation on laminar boundary layer flow, heat and mass transfer of two-phase particulate suspension induced by a linearly stretching sheet is carried out. In the mathematical formulation both the fluid and particle phases are treated as two separate interacting continua. The effects of magnetic field, diffusion-thermo, thermal-diffusion, thermal radiation and first order chemical reaction are taken into the account. The relevant governing partial differential equations corresponding to the momentum, energy and concentration are transformed into a system of non-linear ordinary differential equations with the help of appropriate similarity transformations and then solved numerically using Runge–Kutta-Fehlberg fourth fifth order method along with shooting scheme. The effects of the relevant physical parameters on the flow, heat and mass transfer characteristics of both fluid and particle phases were numerically obtained and discussed in detail. It is found that, the momentum, thermal and solute boundary layer thickness decreases with increasing the particles loading.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 66-81"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2015.10.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86075588","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: 38

Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density 非牛顿幂律纳米流体通过变密度移动垂直板的磁流体动力混合对流

Journal of the Nigerian Mathematical Society Pub Date : 2016-04-01 DOI: 10.1016/j.jnnms.2016.03.001

Macha Madhu, Naikoti Kishan

{"title":"Magneto-hydrodynamic mixed convection of a non-Newtonian power-law nanofluid past a moving vertical plate with variable density","authors":"Macha Madhu, Naikoti Kishan","doi":"10.1016/j.jnnms.2016.03.001","DOIUrl":"10.1016/j.jnnms.2016.03.001","url":null,"abstract":"<div><p>Present paper investigates the magnetohydrodynamic boundary layer mixed convection flow over a moving vertical plate in a non-Newtonian power-law nanofluid with variable density. The governing partial differential equations are transformed into a ordinary differential equations by suitable similarity transformations. The system of coupled non-linear ordinary differential equations are solved numerically using variational finite element method. The solutions for the flow and heat transfer characteristics are computed numerically for various values of flow controlling parameters. Investigation predict that an increase in the values of magnetic field parameter and thermophoresis parameter is to enhance the temperature and nanoparticle volume fraction profiles. Increasing power-law index reduces the velocity, temperature and nanoparticle volume fraction profiles. An increase in the Brownian motion and Lewis number is reduces the nanoparticle volume fraction profiles and temperature field is decreases with increasing Pradtl number. An increase in power-law index and thermophoresis is found to be increase in the skin friction co-efficient but decrease in the heat transfer co-efficient.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 199-207"},"PeriodicalIF":0.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.03.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84004911","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: 14

Nested balanced incomplete block designs of harmonised series 和谐系列的嵌套平衡不完全块设计

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.08.002

A.J. Saka , B.L. Adeleke

引用次数: 3

Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach 具有温度依赖粘度的多孔介质中流体稳态MHD对流的Dufour和soret效应:同伦分析方法

Journal of the Nigerian Mathematical Society Pub Date : 2015-12-01 DOI: 10.1016/j.jnnms.2015.08.001

A.J. Omowaye, A.I. Fagbade, A.O. Ajayi

引用次数: 27