Nonsimilar convection analysis of single and multilayer carbon nanotubes based nanofluid flow over a vertical cone in a complex porous media subjected to thermal radiations and chemical reaction

The objective of this article is to present a novel model and the consequences of natural convection in magneto hydrodynamic (MHD) boundary-layer flow of carbon nanotubes (CNT's) based nanofluid above a vertical cone immersed in a porous medium subjected to the suction/injection effects. Two distinct types of CNT's are investigated within the base fluid known as single wall carbon nanotubes (SWCNT's) and multiple wall carbon nanotubes (MWCNT's). Moreover, heat and mass transport mechanisms are examined in the presence of thermal radiations and chemical reactions, respectively. Nonsimilarity transformations are operated to transmute the partial differential system (PDE's) into dimensionless PDE's. Numerical solution is acquired by employing local nonsimilarity (LNS) via bvp4c algorithm. Graphical results are plotted and discussed comprehensively against the variation of appealing parameters namely Biot number B1(0.5-35), Buoyancy ratio parameter Nr(0.1-8), chemical reaction parameter Cr(0.1-20), Prandtl number Pr(6.2-30), injection parameter Vo(0.1-2), Mag-netic field M(0.2-60) and radiation parameter R(0.1-2). Moreover, the values of Sherwood number Sh, amount of concentration and temperature are examined for distinct values of dimensionless parameters and the con-clusions are reported in tabular formation. It is noticed that the Sherwood number escalates with increasing B1 in both SWCNT's-water and MWCNT's-water nanofluids, while velocity and temperature profiles are decreasing function of Prandtl number. An excellent comparison is noticed that influence of SWCNT's is higher than MWCNT's for velocity, temperature and concentration portray. Finally, the present work is certified via com-parison with already published article in limiting case. The novelty of the considered model lies in the fact that the nonsimilar model of the considered model has not been addressed in literature.

Automated summary

The objective of this article is to present a novel model for the natural convection in MHD boundary-layer flow of CNT-based nanofluid above a vertical cone in a porous medium. The model considers the effects of thermal radiations, chemical reactions, and different types of CNTs. Non-similarity transformations are used to obtain dimensionless PDEs, and a numerical solution is obtained using the bvp4c algorithm. The results show that the Sherwood number increases with the Biot number, and the velocity and temperature profiles decrease with the Prandtl number. The influence of SWCNTs is found to be higher than MWCNTs for velocity, temperature, and concentration profiles.