A numerical study on MHD double difusive nonlinear mixed convective nanofuid fow around a vertical wedge with difusion of liquid hydrogen

Document Type : Original Article

Authors

1 Department of Mathematics, arnatak University, Pavate Nagar, Dharwad 580003, India.

2 Wrangler 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.

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