Impact of thermal radiation on an unsteady Casson nanofluid flow over a stretching surface. (English) Zbl 1430.76036
Nanofluids are suspensions of solid nanoparticles in fluids with quite low thermal conductivity. Coexistence of two media with different properties within the same physical system gives the opportunity to manage the system’s “mean” behaviour by applying external fields, changing external temperature, etc. This is important for the production of new materials with controlled properties.
In the paper, the flow of a Casson nanofluid through a stretching porous plate is considered. An external magnetic field is acting in the direction orthogonal to the flow. Temperature and concentration of nanoparticles oscillate in-phase, and the amplitudes of these oscillations are governed by a small non-dimensional parameter \(\varepsilon\). Due to the combination of many effects (viscous and inertial flow, non-uniform temperature distribution, magnetic field, the presence of solid phase), the system’s behaviour is described by several similarity criterions: Grashof, Sherwood, Nusselt numbers and so on.
The mathematical model of this system is investigated by means of perturbation methods. The asymptotic expansion is performed with respect to the above-mentioned \(\varepsilon\).
The dependence of the nanofluid’s behaviour on the listed parameters is depicted on numerous plots.
In the paper, the flow of a Casson nanofluid through a stretching porous plate is considered. An external magnetic field is acting in the direction orthogonal to the flow. Temperature and concentration of nanoparticles oscillate in-phase, and the amplitudes of these oscillations are governed by a small non-dimensional parameter \(\varepsilon\). Due to the combination of many effects (viscous and inertial flow, non-uniform temperature distribution, magnetic field, the presence of solid phase), the system’s behaviour is described by several similarity criterions: Grashof, Sherwood, Nusselt numbers and so on.
The mathematical model of this system is investigated by means of perturbation methods. The asymptotic expansion is performed with respect to the above-mentioned \(\varepsilon\).
The dependence of the nanofluid’s behaviour on the listed parameters is depicted on numerous plots.
Reviewer: Aleksey Syromyasov (Saransk)
MSC:
| 76A05 | Non-Newtonian fluids |
| 76T20 | Suspensions |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 76M45 | Asymptotic methods, singular perturbations applied to problems in fluid mechanics |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
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