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Combined Mixed Convection and Radiation Heat Transfer in an Obstacle Wall Mounted Lid-driven Cavity 障碍物壁上盖驱动腔内混合对流和辐射换热
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-09-29 DOI: 10.1515/ijnsns-2015-0095
M. Moein Addini, S. A. Gandjalikhan Nassab
{"title":"Combined Mixed Convection and Radiation Heat Transfer in an Obstacle Wall Mounted Lid-driven Cavity","authors":"M. Moein Addini, S. A. Gandjalikhan Nassab","doi":"10.1515/ijnsns-2015-0095","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0095","url":null,"abstract":"Abstract This paper presents a numerical investigation for laminar mixed convection flow of a radiating gas in a lid-driven cavity with a rectangular-shaped obstacle attached on the bottom wall. The vertical walls of the square cavity are assumed to be adiabatic, while other walls of cavity and obstacle are kept at constant temperature. The fluid is treated as a gray, absorbing, emitting and scattering medium. The governing differential equations consisting the continuity, momentum and energy are solved numerically by the computational fluid dynamics techniques to obtain the velocity and temperature fields. Discretized forms of these equations are obtained by the finite volume method and solved using the SIMPLE algorithm. Since the gas is considered as a radiating medium, besides convection and conduction, radiative heat transfer also takes place in the gas flow. For computation of the radiative term in the gas energy equation, the radiative transfer equation is solved numerically by the discrete ordinate method. The streamline and isotherm plots and the distributions of convective, radiative and total Nusselt numbers along the bottom wall of cavity are presented. The effects of Richardson number, obstacle location, radiation–conduction parameter, optical thickness and albedo coefficient on the flow and temperature distributions are carried out. Comparison between the present numerical results with those obtained by other investigators in the cases of conduction–radiation and pure convection systems shows good consistencies.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0095","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Nonlocal Kirchhoff Superlinear Equations with Indefinite Nonlinearity and Lack of Compactness 具有不定非线性和缺乏紧性的非局部Kirchhoff超线性方程
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-09-29 DOI: 10.1515/ijnsns-2016-0006
Lin Li, V. Rǎdulescu, Dušan D. Repovš
{"title":"Nonlocal Kirchhoff Superlinear Equations with Indefinite Nonlinearity and Lack of Compactness","authors":"Lin Li, V. Rǎdulescu, Dušan D. Repovš","doi":"10.1515/ijnsns-2016-0006","DOIUrl":"https://doi.org/10.1515/ijnsns-2016-0006","url":null,"abstract":"Abstract We study the following Kirchhoff equation: (K) −1+b∫ℝ3|∇u|2dxΔu+V(x)u=f(x,u),x∈ℝ3.$$ - left({1 + bint_{{{mathbb R}^3}} |nabla u{|^2}dx} right)Delta u + V(x)u = f(x, u), quad x in {{mathbb R}^3}. $$ A feature of this paper is that the nonlinearity f$f$ and the potential V$V$ are indefinite, hence sign-changing. Under some appropriate assumptions on V$V$ and f$f$ , we prove the existence of two different solutions of the equation via the Ekeland variational principle and the mountain pass theorem.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2016-0006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Multiple Soliton Solutions, Soliton-Type Solutions and Hyperbolic Solutions for the Benjamin–Bona–Mahony Equation with Variable Coefficients in Rotating Fluids and One-Dimensional Transmitted Waves 旋转流体和一维透射波中变系数Benjamin-Bona-Mahony方程的多孤子解、孤子型解和双曲解
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2015-0122
Zhi-Fang Zeng, Jian‐Guo Liu
{"title":"Multiple Soliton Solutions, Soliton-Type Solutions and Hyperbolic Solutions for the Benjamin–Bona–Mahony Equation with Variable Coefficients in Rotating Fluids and One-Dimensional Transmitted Waves","authors":"Zhi-Fang Zeng, Jian‐Guo Liu","doi":"10.1515/ijnsns-2015-0122","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0122","url":null,"abstract":"Abstract With the help of symbolic computation, the Benjamin–Bona–Mahony (BBM) equation with variable coefficients is presented, which was proposed for the first time by Benjamin as the regularized long-wave equation and originally derived as approximation for surface water waves in a uniform channel. By employing the improved (G′/G)$(G^' /G)$-expansion method, the truncated Painlevé expansion method, we derive new auto-Bäcklund transformation, hyperbolic solutions, a variety of traveling wave solutions, soliton-type solutions and two solitary wave solutions of the BBM equation. These obtained solutions possess abundant structures. The figures corresponding to these solutions are illustrated to show the particular localized excitations and the interactions between two solitary waves.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0122","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Numerical Investigation of Hydromagnetic Hybrid Cu – Al2O3/Water Nanofluid Flow over a Permeable Stretching Sheet with Suction 磁混合Cu - Al2O3/水纳米流体在具有吸力的可渗透拉伸片上流动的数值研究
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2016-0037
S. Devi, S. U. Devi
{"title":"Numerical Investigation of Hydromagnetic Hybrid Cu – Al2O3/Water Nanofluid Flow over a Permeable Stretching Sheet with Suction","authors":"S. Devi, S. U. Devi","doi":"10.1515/ijnsns-2016-0037","DOIUrl":"https://doi.org/10.1515/ijnsns-2016-0037","url":null,"abstract":"Abstract An emerging concept of hybrid nanofluid with a new improved model of its thermophysical properties are introduced in the present work. Hybrid nanofluid is an advanced type of conventional heat transfer fluids, which has been employed for the enhancement of heat transfer rate. Two distinct fluids, namely hybrid nanofluid (Cu−Al2O3/water)$({rm{Cu - A}}{{rm{l}}_{rm{2}}}{{rm{O}}_{rm{3}}}{rm{/water}})$ and nanofluid (Cu/water) are used to investigate the parametric features of the flow and heat transfer phenomena over a permeable stretching sheet in the presence of magnetic field. The effects of various physical parameters and effecting physical quantities of interest are analyzed. From this study it is observed that the heat transfer rate of hybrid nanofluid (Cu−Al2O3/water)$({rm{Cu - A}}{{rm{l}}_{rm{2}}}{{rm{O}}_{rm{3}}}{rm{/water}})$ is higher than that of Nanofluid (Cu/water) under magnetic field environment. More combinations of different nanocomposites can be tried so that the desired heat transfer rate can be achieved.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2016-0037","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 435
Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind 具有第三类边界条件的微极流体在多孔垂直通道间的瞬态传热传质
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2015-0154
D. Doh, M. Muthtamilselvan, D. Prakash
{"title":"Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind","authors":"D. Doh, M. Muthtamilselvan, D. Prakash","doi":"10.1515/ijnsns-2015-0154","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0154","url":null,"abstract":"Abstract An investigation of heat and mass transfer characteristics of unsteady free convective flow of viscous incompressible micropolar fluid between the vertical porous plates in the presence of thermal radiation is carried out in the present work. The fluid is considered to be grey, absorbing–emitting but non scattering medium and the Cogley–Vincent–Gilles formulation is adopted to simulate the radiation component of heat transfer. The resulting system of equations is solved numerically with Crank–Nicolson implicit finite difference method. The effects of various physical parameters such as transient, micropolar parameter, radiation parameter, Reynolds number, Schmidt number, heat and mass transfer Biot numbers on the velocity, temperature and concentration field are discussed graphically.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0154","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Unsteady Convective Boundary Layer Flow of Maxwell Fluid with Nonlinear Thermal Radiation: A Numerical Study 非线性热辐射麦克斯韦流体非定常对流边界层流动的数值研究
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2015-0153
F. Mabood, M. Imtiaz, A. Alsaedi, T. Hayat
{"title":"Unsteady Convective Boundary Layer Flow of Maxwell Fluid with Nonlinear Thermal Radiation: A Numerical Study","authors":"F. Mabood, M. Imtiaz, A. Alsaedi, T. Hayat","doi":"10.1515/ijnsns-2015-0153","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0153","url":null,"abstract":"Abstract The main purpose of this work is to investigate unsteady magnetohydrodynamic (MHD) boundary layer flow of Maxwell fluid over a stretching surface with nonlinear thermal radiation. Heat and mass transfer analysis is carried out in the presence of convective boundary conditions and first-order chemical reaction. A uniform magnetic field is applied normal to the direction of the fluid flow. The nonlinear coupled partial differential equations are solved numerically using an implicit finite difference method with quasi-linearization technique. Effects of the emerging parameters on the dimensionless velocity, temperature and concentration are investigated. The rate of heat transfer in terms of Nusselt number and rate of mass transfer in terms of Sherwood number are also computed and addressed.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0153","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 35
Traveling Waves of DDEs with Rational Nonlinearity 具有有理非线性的DDEs行波
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2016-0028
Ismail Aslan
{"title":"Traveling Waves of DDEs with Rational Nonlinearity","authors":"Ismail Aslan","doi":"10.1515/ijnsns-2016-0028","DOIUrl":"https://doi.org/10.1515/ijnsns-2016-0028","url":null,"abstract":"Abstract It has been found that the dynamical behavior of many complex physical systems can be properly described by nonlinear DDEs. However, in the related literature, research focusing on such equations with rational nonlinearity is rare. Hence, the present study makes an attempt to fill the existing gap. To this end, we consider two distinct DDEs with rational nonlinearity. We observed that the model equations assume three kinds of traveling wave solutions; hyperbolic, trigonometric and rational including kink-type solitary waves and singular periodic solutions. Our discussion is based on the auxiliary equation method.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2016-0028","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface 两相含尘流体沿波浪形表面流动的动力学
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2015-0044
S. Siddiqa, M. Abrar, M. A. Hossain, Muhammad Awais
{"title":"Dynamics of Two-Phase Dusty Fluid Flow Along a Wavy Surface","authors":"S. Siddiqa, M. Abrar, M. A. Hossain, Muhammad Awais","doi":"10.1515/ijnsns-2015-0044","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0044","url":null,"abstract":"Abstract This article provides the computational results of laminar, boundary layer flow of a dilute gas-particle mixture over a semi-infinite vertical wavy surface. The governing parabolic partial differential equations are switched into another frame of reference by using primitive variable formulations (PVF). Two-point finite difference scheme is applied to acquire the unknown quantities of the carrier and the particle phase. The results are obtained for the cases: (i) water–metal mixture and (ii) air–metal mixture and are displayed in the form of wall shear stress, wall heat transfer, velocity profile, temperature profile, streamlines and isotherms for different emerging physical parameters. The solutions are compared, as well, with the available data in the literature. Quantitative comparison shows good compatibility between the present and the previous results. For the dusty fluid model it is found that the rate of heat transfer reduces considerably when the amplitude of the sinusoidal waveform increases from 0 to 0.5.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0044","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media 各向异性多孔介质中非均匀孔隙率和热扩散率对双扩散对流的影响
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-08-01 DOI: 10.1515/ijnsns-2015-0139
A. Harfash
{"title":"Nonhomogeneous Porosity and Thermal Diffusivity Effects on a Double-Diffusive Convection in Anisotropic Porous Media","authors":"A. Harfash","doi":"10.1515/ijnsns-2015-0139","DOIUrl":"https://doi.org/10.1515/ijnsns-2015-0139","url":null,"abstract":"Abstract A model for double-diffusive convection in anisotropic and inhomogeneous porous media has been analysed. In particular, the effects of variable permeability, thermal diffusivity and variable gravity with respect to the vertical direction, have been studied. The validity of both the linear instability and global nonlinear energy stability thresholds are tested using three dimensional simulation. Our results show that the linear theory produce a good predicts on the onset of instability in the basic steady state. It is known that as Rc${R_c}$ increases the onset of convection is more likely to be via oscillatory convection as opposed to steady convection, and the three dimensional simulation results show that as Rc$Rc$ increases, the actual threshold moving toward the nonlinear stability threshold and the behaviour of the perturbation of the solutions becomes more oscillated.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2015-0139","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66791932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method 指数三次b样条有限元法求解Schrödinger方程的数值研究
IF 1.5 4区 工程技术
International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2016-07-01 DOI: 10.1515/ijnsns-2016-0179
Ozlem Ersoy Hepson, I. Dag
{"title":"Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method","authors":"Ozlem Ersoy Hepson, I. Dag","doi":"10.1515/ijnsns-2016-0179","DOIUrl":"https://doi.org/10.1515/ijnsns-2016-0179","url":null,"abstract":"Abstract In this paper, we investigate the numerical solutions of the cubic nonlinear Schrödinger equation via the exponential cubic B-spline collocation method. Crank–Nicolson formulas are used for time discretization of the target equation. A linearization technique is also employed for the numerical purpose. Four numerical examples related to single soliton, collision of two solitons that move in opposite directions, the birth of standing and mobile solitons and bound state solution are considered as the test problems. The accuracy and the efficiency of the purposed method are measured by max error norm and conserved constants. The obtained results are compared with the possible analytical values and those in some earlier studies.","PeriodicalId":50304,"journal":{"name":"International Journal of Nonlinear Sciences and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/ijnsns-2016-0179","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66792267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","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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