Combined effects of Joule heating and chemical reaction on non-Newtonian fluid in double stratified medium: A numerical study

• Main Authors: Khalil Ur Rehman, Abid Ali Khan, M.Y. Malik, R.K. Pradhan
• Format: Article
• Language: English
• Published: Elsevier 2017-01-01
• Series: Results in Physics
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379717311671

In present attempt, the mutual interaction of temperature and concentration stratification phenomena is considered in the presence of chemically reactive species and Joule heating subject to Williamson fluid flow yields by an inclined stretching cylindrical surface. Flow field analysis is manifested with both mixed convection and heat generation effects. The prescribed surface temperature and concentration are hypothetical greater in strength as compared to ambient fluid. The physical illustration and corresponding constraints are mathematically modelled in terms of partial differential equations. These differential equations are primarily transmuted into an ordinary differential equations with the aid of appropriate transformation. A computational algorithm (shooting method charted with Runge-Kutta scheme) is executed towards boundary value problem for numerical solution. The physical outcomes due to flow field parameters namely, Eckert number, Weissenberg number, mixed convection, curvature, stratification, solutal stratification, chemical reaction, magnetic field and heat generation parameters on physical quantities are discussed through graphs and tables. Further, the numerical values of the skin friction coefficient, Nusselt and Sherwood numbers are presented through tables. It is noticed that the velocity profile shows decline nature for an inclination while temperature reflects an inciting nature towards Eckert number. Keywords: An inclined cylinder, Joule heating, Magneto-Williamson fluid model, Chemical reaction, Double stratification, Mixed convection, Heat generation, Shooting method