Homogeneous–heterogeneous reactions in flow past a horizontal circular cylinder with an induced magnetic field and nonlinear thermal radiation

• Published in: Heat transfer (Hoboken, N.J. Print) Vol. 49; no. 2; pp. 1065 - 1092
• Main Authors: Oyelakin, Ibukun Sarah, Sibanda, P.
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.03.2020
• Subjects: Bivariate analysis; bivariate spectral quasi‐linearization method; Boundary layer flow; Circular cylinders; Coefficient of friction; Diffusion coefficient; Flow velocity; Fluid flow; homogeneous–heterogeneous; Incompressible flow; induced magnetic field; Magnetic fields; nonlinear radiative flux; Ohmic dissipation; Parameters; Partial differential equations; Resistance heating; Skin friction; Thermal radiation; unequal diffusivities
• ISSN: 2688-4534; 2688-4542
• DOI: 10.1002/htj.21653

In this study, we investigate the steady, two‐dimensional, incompressible viscous boundary layer flow of an electrically conducting Casson fluid over a horizontal circular cylinder. The cylinder is impermeable and the flow is assumed to be subject to homogeneous–heterogeneous reactions. The homogeneous–heterogeneous reactions are also assumed to have unequal diffusion coefficients. The novelty in this study is in the consideration of a nonlinear radiative flux together with Joule heating and an induced magnetic field. The magnetodynamic pressure gradient in induced magnetic flows is important as it gives insights into the boundary layer characteristics. The flow velocity and the magnetic field in the free stream are assumed to be uniform and directed vertically over the cylinder. The partial differential equations are solved using the bivariate spectral quasi‐linearization method. An analysis and comparison of results with existing literature are provided. Among the findings, we show, inter alia, that the reactants dominate while the autocatalysts have a negligible impact on the flow progression. The skin friction coefficient decreases with an increase in the Casson parameter and increases when the Joule heating parameter is increased. The rate of heat transfer increases with increasing the Casson parameter and decreases when the Joule heating parameter is increased.