article · Journal of Physics Communications
This research presents a mathematical analysis of heat and mass transfer in a boundary layer flow of a non-Newtonian Casson fluid over an inclined stretching cylinder containing magnetic nanoparticles. The model incorporates numerous physical influences, including an external magnetic field, thermal radiation, chemical reactions, buoyancy force, Joule heating, viscous dissipation, heat sources, and cylinder curvature. By applying transformations and the optimal homotopy analysis method, analytical approximations were obtained for the governing system of nonlinear differential equations. The findings show that an increase in the Casson parameter decelerates the flow velocity while elevating temperature and concentration fields. In addition, increasing the curvature of the cylinder markedly increases wall friction and the rate of mass transfer near the surface.
Understanding how non-Newtonian nanofluids move and transfer heat around curved surfaces is essential for describing complex thermal processes. By mapping how factors such as cylinder curvature, chemical reactions, and magnetic fields govern friction and thermal profiles, this work provides basic theoretical insights into the dynamics of magnetic nanoparticle suspensions under varied physical constraints.
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Abstract The main purpose of this study is to give a mathematical analysis of heat and mass transfer in a boundary layer flow of Casson fluid over an inclined stretching cylinder in the presence of magnetic nanoparticles. The effects of Casson parameter, curvature of the cylinder, angle of inclination, Buoyancy force, external magnetic field, thermal radiation, Joule heating, viscous dissipation, heat source and chemical reaction are taken into account. Appropriate transformations are incorporated to convert the governing partial differential equations and the boundary conditions suitable for computation. The elegant optimal homotopy analysis method is used to obtain analytic approximations for the resulting system of nonlinear differential equations. The features of flow characteristics such as velocity, temperature and concentration profiles in response to the variations of the emerging parameters are simulated and examined in detail. Extensive analysis is also made to explore the influences of relevant constraints on the rates of momentum, heat and mass transfer near the surface of the cylinder. Among the many outputs of the study, it is found that increasing the non-Newtonian Casson parameter can slowdown the flow velocity and enhance the temperature and concentration profiles. It is also revealed that significant enhancement of wall friction and mass transfer rate can be achieved by increasing the curvature of the cylinder. Further, the analytic approximations obtained by implementing the optimal homotopy analysis method to the present model are in close agreements with previous studies under common assumptions.
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DOI: 10.1088/2399-6528/abcdba
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