A numerical study on MHD double difusive nonlinear mixed convective nanofuid fow around a vertical wedge with difusion of liquid hydrogen | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 29, Issue 1, 2021, Pages 1-18 PDF (2.49 M) | ||
| Document Type: Original Article | ||
| DOI: 10.1186/s42787-021-00133-8 | ||
| Authors | ||
| Prabhugouda Mallanagouda Patil* 1, 2; Madhavarao Kulkarni1 | ||
| 1Department of Mathematics, arnatak University, Pavate Nagar, Dharwad 580003, India. | ||
| 2Wrangler Dr. D. C. Pavate Institute of Mathematical Sciences (PIMSci.), Karnatak University, Pavate Nagar, Dharwad 580003, India. | ||
| Abstract | ||
| The present study focuses on double difusive nonlinear (quadratic) mixed convective fow of nanoliquid about vertical wedge with nonlinear temperature-density-concentration variations. This study is found to be innovative and comprises the impacts of quadratic mixed convection, magnetohydrodynamics, difusion of nanoparticles and liquid hydrogen fow around a wedge. Highly coupled nonlinear partial diferential equations (NPDEs) and boundary constraints have been used to model the fow problem, which are then transformed into a dimensionless set of equations utilizing non-similar transformations. Further, a set of NPDEs would be linearized with the help of Quasilinearization technique, and then, the linear partial diferential equations are transformed into a block tri-diagonal system through using implicit fnite diference scheme, which is solved using Verga’s algorithm. The study fndings were explored through graphs for the fuid velocity, temperature, concentration, nanoparticle volume fraction distributions and its corresponding gradients. One of the important results of this study is that the higher wedge angle values upsurge the friction between the particles of the fuid and the wedge surface. Rising Schmidt number declines the concentration distribution and enhances the magnitude of Sherwood number. Nanofuid’s temperature increases with varying applied magnetic feld. The present study has notable applications in the designing and manufacturing of wedge-shaped materials in space aircrafts, construction of dams, thermal systems, oil and gas industries, etc. | ||
| Keywords | ||
| Magnetohydrodynamic fow (MHD); Nanoliquid; Quadratic convection; Quasilinearization technique | ||
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