In many industrial products stretching surfaces and magnetohydrodynamics are being used. The purpose of this article is to analyze magnetohydrodynamics (MHD) non-Newtonian Maxwell fluid with nanomaterials in a surface which is stretching exponentially. Thermophoretic and Brownian motion effects are incorporated using Buongiorno model. The given partial differential system is converted into nonlinear ordinary differential system by employing adequate self-similarity transformations. Locally series solutions are computed using BVPh 2.0 for wide range of governing parameters. It is observed that the flow is expedite for higher Deborah and Hartman numbers. The impact of thermophoresis parameter on the temperature profile is minimal. Mathematically, this study describes the reliability of BVPh 2.0 and physically we may conclude the study of stretching surfaces for non-Newtonian Maxwell fluid in the presence of nanoparticles can be used to obtain desired qualities.

The present investigation addresses the flow of hybrid (nickel–zinc ferrite and ethylene glycol) nanoliquid with entropy optimization and nonlinear thermal radiation coatings past a curved stretching surface. Analysis was carried out in the presence of magnetohydrodynamic, heat generation/absorption, and convective heat and mass flux conditions. Solution of the modeled problem was attained numerically using MATLAB built-in function bvp4c. Impacts of prominent parameters on betrothed distributions were depicted through graphs and were well supported by requisite discussions. Numerically calculated values of Sherwood number were established in a tabulated form and were scrutinized critically. An excellent concurrence was achieved when results of the presented model were compared with previously published result; hence, dependable results are being presented. It was observed that concentration field diminished with increasing values of curvature parameter, though the opposite trend was noticed for velocity and temperature distributions. Further, it was detected that Nusselt number decreased with augmented values of radiation and curvature parameters.

The present exploration aims to deliberate silver-water nanofluid flow with homogeneous–heterogeneous reactions and magnetic field impacts past a nonlinear stretched cylinder. The novelty of the presented work is enhanced with the addition of Newtonian heating, heat generation/absorption, viscous dissipation, nonlinear thermal radiation and joule heating effects. The numerical solution is established via Shooting technique for the system of ordinary differential equations with high nonlinearity. The influences of miscellaneous parameters including nanoparticles volume fraction 0.0 ≤ ϕ ≤ 0.3 , magnetic parameter 1.0 ≤ Μ ≤ 4.0 , nonlinearity exponent 1.0 ≤ n ≤ 5.0 , curvature parameter 0.0 ≤ γ ≤ 0.4 , conjugate parameter 0.4 ≤ λ ≤ 0.7 , heat generation/absorption parameter ( 0.2 ≤ E c ≤ 0.8 ) , radiation parameter 0.7 ≤ K * ≤ 1.0 , Eckert number ( 0.1 ≤ E c ≤ 0.7 ) , strength of homogeneous reaction 0.1 ≤ κ 1 ≤ 1.8 , strength of heterogeneous reaction 0.1 ≤ κ 2 ≤ 1.8 and Schmidt number ( 3.0 ≤ S c ≤ 4.5 ) on axial velocity, temperature profile, local Nusselt number, and skin friction coefficient are discussed via graphical illustrations and numerically erected tabulated values. It is examined that the velocity field diminishes while the temperature profile enhances for mounting values of the magnetic parameter. An excellent concurrence is achieved when our obtained numerical calculations are compared with an already published paper in limiting case; hence dependable results are being presented.

The aim of the present study is to address the impacts of Newtonian heating and homogeneous–heterogeneous (h-h) reactions on the flow of Ag–H2O nanofluid over a cylinder which is stretched in a nonlinear way. The additional effects of magnetohydrodynamics (MHD) and nonlinear thermal radiation are also added features of the problem under consideration. The Shooting technique is betrothed to obtain the numerical solution of the problem which is comprised of highly nonlinear system ordinary differential equations. The sketches of different parameters versus the involved distributions are given with requisite deliberations. The obtained numerical results are matched with an earlier published work and an excellent agreement exists between both. From our obtained results, it is gathered that the temperature profile is enriched with augmented values radiation and curvature parameters. Additionally, the concentration field is a declining function of the strength of h-h reactions.