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On filter-successive linearization methods for nonlinear semidefinite programming

Science China Mathematics 2009年第8期52卷 2341-2361页

作者： LI ChengJin SUN WenYu School of Mathematical and Computer Science Nanjing Normal UniversityNanjing 210097China School of Mathematical and Computer Science Fujian Normal UniversityFuzhou 350108China

In this paper we present a filter-successive linearization method with trust region for solutions of nonlinear semidefinite programming. Such a method is based on the concept of filter for nonlinear programming introduced by Fletcher and Leyffer in 2002. We describe the new algorithm and prove its global convergence under weaker assumptions. Some numerical results are reported and show that the new method is potentially efficient.

关键词： semidefinite programming nonlinear optimization successive linearization method filter method global convergence 65K05 90C30

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Simultaneous effects of chemical reaction and Ohmic heating with heat and mass transfer over a stretching surface: A numerical study

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Chinese Journal of Chemical Engineering 2017年第9期25卷 1137-1142页

作者： S.R.Mishra M.M.Bhatti Department of Mathematics Siksha ‘O’ Anusandhan University Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

In this article, we have considered the simultaneous influence of ohmic heating and chemical reaction on heat and mass transfer over a stretching sheet. The effects of applied magnetic field are also taken into consideration while the induced magnetic field is not considered due to very small magnetics Reynolds number. The governing flow problem comprises of momentum, continuity, thermal energy and concentration equation which are transformed into highly nonlinear coupled ordinary differential equations by means of similarity transforms, which are then, solved numerically with the help of successive linearization method(SLM) and Chebyshev Spectral collocation method. Numerical values of skin friction coefficient, local Nusselt number, and Sherwood number are also taken into account with the help of tables. The physical influence of the involved parameters of flow velocity, temperature and concentration distribution is discussed and demonstrated graphically. The numerical comparison is also presented with the existing published results and found that the present results are in excellent agreement which also confirms the validity of the present methodology.

关键词： Ohmic heating Heat and mass transfer Chemical reaction successive linearization method

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Regression analysis and features of negative activation energy for MHD nanofluid flow model:A comparative study

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Propulsion and Power Research 2023年第2期12卷 273-283页

作者： B.Kumara Prachi Abhinav Singhal R.Nandkeolyar Pulkit Kumar Ali J.Chamkha School of Mathematics Thapar Institute of Engineering and TechnologyPatiala 147004PunjabIndia Department of Applied Sciences and Humanities RITRoorkee 247667India School of Sciences Christ(Deemed to be University)Delhi NCR 201003India Department of Mathematics National Institute of TechnologyJamshedpur 831014India Department of Applied Mechanics Indian Institute of TechnologyDelhi 110016India Faculty of Engineering Kuwait College of Science and TechnologyDoha DistrictKuwait

This article elucidates the impact of activation energy on magnetohydrodynamic(MHD)stagnation point nanofluid flow over a slippery surface in a porous regime with thermophoretic and Brownian *** activation energy is scarce in practice,but the impact of negative activation energy could not be neglected as it is noticed in chemical *** rate of some Arrhenius-compliant reactions is retarded by increasing the temperature and is therefore associated with negative activation energies,such as exothermic binding of urea or *** some processes,the temperature dependence of the pressure-induced unfolding and the urea-induced unfolding of proteins at ambient pressure give negative activation *** present mathematical model is solved with successive linearization method(a spectral technique).A comparison of results is made for negative and positive values of activation *** from it,the quadratic multiple regression model is discussed briefly and explained with bar *** is observed that with rise in unsteadiness parameter from 0 to 1(taking positive activation energy),skin friction and Sherwood number are increased by 9.36%and 19%respectively,and Nusselt number is decreased by 26%.However,for negative activation energy,9.36%and 112%enhancement is observed in skin friction and Sherwood number,respectively.

关键词： Negative activation energy Regression analysis successive linearization method Porous medium

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The effects of cross-diffusion and radiation on mixed convection from a vertical flat plate embedded in a fluid-saturated porous medium in the presence of viscous dissipation

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Propulsion and Power Research 2016年第2期5卷 149-163页

作者： Mohammed A.Mohammed Ahmed Mohammed E.Mohammed Ahmed A.Khidir Faculty of Technology of Mathematical Sciences and Statistics Alneelain UniversityP.O.Box 12702KhartoumSudan

In this paper,we propose a new application of a recent semi-numericalsuccessive linearization method(SLM)in solving highly coupled,nonlinear boundaryvalue *** method is presented in detail by solving the problem of steady flowof mixed convection and an incompressible viscous hydromagnetic fluid from a verticalflat plate embedded in a fluid-saturated porous *** governing partial differentialequations are transformed into a system of ordinary differential equations and then solvedby *** effects of different physical parameters on the velocity,temperature,andconcentration profiles are determined and *** skin-friction,and heat and masstransfer coefficients have been obtained and analyzed for various physical *** results are presented numerically through graphs and tables for both assistingand opposing flows to observe the effects of various parameters encountered in the equations.

关键词： successive linearization method Mixed convection Cross-diffusion Heat and mass transfer Viscous dissipation

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