Abstract
The present study focuses on double diffusive nonlinear (quadratic) mixed convective flow 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, diffusion of nanoparticles and liquid hydrogen flow around a wedge. Highly coupled nonlinear partial differential equations (NPDEs) and boundary constraints have been used to model the flow 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 differential equations are transformed into a block tri-diagonal system through using implicit finite difference scheme, which is solved using Verga’s algorithm. The study findings were explored through graphs for the fluid 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 fluid and the wedge surface. Rising Schmidt number declines the concentration distribution and enhances the magnitude of Sherwood number. Nanofluid’s temperature increases with varying applied magnetic field. 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.
Highlights
The linear variations in temperature, density and species concentration relations, i.e., mixed convection flows have been studied by a many number of researchers [1,2,3,4,5]
The quadratic convection plays an important role in many fields of industries, including thermal systems, combustion, geothermal power plants, Patil and Kulkarni Journal of the Egyptian Mathematical Society (2021) 29:24 crude oil extraction, electronic part cooling, pharmaceuticals, and so on
Sinha [6] has looked at the impact of frictional heating systems and heat sources on convective flows using Nonlinear changes in density temperature (NDT) variations
Summary
The linear variations in temperature, density and species concentration relations, i.e., mixed convection flows have been studied by a many number of researchers [1,2,3,4,5].the study of nonlinear changes in density temperature and species concentration relation (NDTC) [6,7,8,9] is novel concept for researchers to investigate the effects of the fluid’s thermal attributes. The linear variations in temperature, density and species concentration relations, i.e., mixed convection flows have been studied by a many number of researchers [1,2,3,4,5]. Shaw et al [9] have analyzed quadratic changes in temperature and density relation variations along the stretched surface and reported that the increasing nonlinear convection coefficient values increase the magnitude of transfer of heat from the wall. Hayat et al [10] have discussed the influence of hydromagnetic on 3-D quadratic convective flow of nanoliquid over a stretched sheet, reported that temperature and heat transport rate increase due to rising values of thermal radiation and temperature ratio parameter. Hayat et al [12] and Uddin et al [13] have discussed the major influence of nonlinear convective flow on a horizontally stretched cylinder and surface
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