A study of heat and mass transfer of nanofluids arising in biosciences using Buongiorno’s model. (English) Zbl 1404.76307
Summary: Flow in converging/diverging channels under the influence of external magnetic field is presented. The walls of the channels are taken to be stretching/shrinking. J. Buongiorno’s model [“Convective transport in nanofluids”, J. Heat Transf. 128, No. 3, 240–250 (2006; doi:10.1115/1.2150834)] is used to formulate the problem for nanofluids. It is to be highlighted that such models arise frequently in biosciences. The equations governing the flow are transformed to a set of nonlinear ordinary differential equations by employing appropriate similarity transformations. Two efficient techniques variational iteration method (VIM) and variation of parameters method (VPM) are employed to tackle the complexity and nonlinearity of the presented model. Comprehensive discussions on the results obtained are provided. Comparison of the obtained results with existing literature re-confirms the credibility of solution obtained via VIM and VPM.
MSC:
| 76Z05 | Physiological flows |
| 92B05 | General biology and biomathematics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
Buongiorno’s model; stretchable walls; numerical solution; converging and diverging channels; variational iteration method (VIM); variation of parameters method (VPM)References:
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