Influence of homogeneous-heterogeneous reactions on nonlinear convection in micropolar fluid under convective boundary condition. (English) Zbl 1397.35319
Summary: This paper is concerned with the nonlinear temperature-dependent density relation on mixed convective flow of a micropolar fluid in the presence of homogeneous-heterogeneous reactions and radiation under the convective boundary condition. The similarity representation of the system of partial differential equations of the problem is obtained through a Lie group transformations and then solved by a spectral quasilinearization method. From the results, it is noticed that with increase of the strength of homogeneous and heterogeneous reaction parameters, species concentration and mass transfer rate decreases in both aiding and opposing flow situations. Further, the heterogeneous reaction is more on species concentration as compared with homogeneous reaction. By rising the nonlinear convection parameter the physical quantities of the flow, namely, the velocity, microrotation, species concentration, skin friction, wall couple stress and the rate of heat transfer coefficient show the opposite trend for both aiding and opposition flow situations.
MSC:
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
Keywords:
non-linear convection; homogeneous-heterogeneous reaction; micropolar fluid; convective boundary condition; spectral quasilinearization methodReferences:
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