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Effect of Nonlinear Convection on Stratified Flow of Third Grade Fluid with Revised Fourier-Fick Relations
Authors:M. Waqas  M. Ijaz Khan  T. Hayat  A. Alsaedi
Affiliation:1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
Abstract:Here thermal dependence conductivity and nonlinear convection features in third-grade liquid flow bounded by moving surface having varying thickness are formulated. Stagnation point flow is considered. Revised FourierFick relations and double stratification phenomena are utilized for modeling energy and concentration expressions. Mathematical model of considered physical problem is achieved by implementing the idea of boundary layer theory. The acquired partial differential system is transformed into ordinary ones by employing relevant variables. The homotopic scheme yield convergent solutions of governing nonlinear expressions. Graphs are constructed for distinct values of physical constraints to elaborate the heat/mass transportation mechanisms.
Keywords:nonlinear convection  double stratification  revised Fourier-Fick relations  third grade liquid  thermal dependence conductivity  
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