Numerical analysis subject to double stratification and chemically reactive species on Williamson dual convection fluid flow yield by an inclined stretching cylindrical surface

• Published in: Chinese journal of physics (Taipei) Vol. 55; no. 4; pp. 1637 - 1652
• Main Authors: Rehman, Khalil Ur, Khan, Abid Ali, Malik, M.Y., Ali, U., Naseer, M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2017
• Subjects: An inclined cylinder; Chemical reaction; Dual convection; Dual stratification; Heat generation/absorption; Shooting method; Williamson fluid model; Heat generation/absorption; Dual convection; Chemical reaction; An inclined cylinder; Dual stratification; Shooting method; Williamson fluid model
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2017.05.003

•Mathematical modelling of double stratified Williamson fluid flow is proposed.•Fluid Flow is yield by an inclined stretching cylindrical surface.•The impacts of physical parameters are significantly enriched for cylinder.•Heat and mass transfer rates are presented for both flat and cylindrical surface. In this attempt, we considered temperature and concentration stratification phenomena with the mutual interaction of chemically reactive species and dual convection on Williamson fluid flow yield by an inclined stretching cylindrical surface. Flow field analysis is manifested with heat generation/absorption effect. The strength of prescribed surface temperature and concentration is hypothetical greater than ambient fluid. The flow field situation towards Williamson fluid model and corresponding constraints are mathematically modelled i-e system of partial differential equations. These differential equations are primarily converted into ordinary differential equations by way of appropriate transformation. Numerical communication for boundary value problem is executed successfully by operating computational algorithm charted with fifth order Runge-Kutta scheme. The effect logs of involved flow field parameters namely, curvature, mixed convection, thermal stratification, solutal stratification, chemical reaction, heat generation/absorption parameters and Weissenberg number on physical quantities are deliberated through graphs and tables. It is found that both velocity and temperature profiles shows diminishing nature towards temperature stratification parameter whereas fluid concentration shows decline comportment for positive values of solutal stratification parameter. In addition, the skin friction coefficient, both heat and mass transfer rates are presented numerically for two diverse cases namely, plate (zero curvature) and cylinder (non-zero curvature). Further, the obtained results are validated by constructing comparison with previously published literature and we found an excellent match which confirms the surety of present communication.