The aim of this study is to investigate the flow of two distinct nanofluids over a stretching surface in a porous medium with Marangoni convection. This investigation is studied under the effect of thermal radiation. Here, we have considered Fe 3 O 4 and ZrO 2 nanosized particles suspended in engine oil (EO) base fluid. For the numerical simulation of the flow, the fourth-order Runge-Kutta method and suitable similarity solutions were used. Numerical solutions with graphical representation are presented. Fe 3 O 4 / EO nanofluid is more significant in the cooling process in comparison to ZrO 2 / EO nanofluid. With increased radiation and temperature ratio parameters, a decrement in the temperature field has been noticed for both nanofluids. For increased values of volume friction parameter, a decrement is noticed for velocity profile and increment is noted for temperature profiles for both nanofluids. Also, a reduced velocity profile can be obtained with increased porosity parameter.

In the paper, the coupled 1D nonlinear Schrödinger system (CNLS) is considered as the model equation for wave-wave interaction in ionic media. A finite difference scheme is derived for the model equations.A new six-point scheme, which is equivalent to the multi-symplectic integrator, is derived. The numerical simulation is also presented for the model equations.

Laminar flow of blood considering the blood as a Casson fluid has been studied. It is observed that the axial velocity, volumetric flow rate and pressure gradient increase with the increase in slip velocity and decrease with growth in yield stress. The results derived have been presented both analytically and graphically for a better understanding by choosing the appropriate parameters.

Thermodynamic studies of hybrid colloidal fluids are now of interest. Biomedical science, drug delivery system, electronic chips, paint industries and mechanical engineering are some key applications fields. Hence the current investigation is carried out for Graphene Oxide (GO) nanofluids flow with Marangoni convection over a stretching surface. This investigation is studied under effect of thermal radiation and MHD. The hybrid base fluid is considered with 50-50 percent composition of Water–Ethylene Glycol (H2O–EG). For the numerical simulation of the flow with fourth ordered Runge-Kutta method suitable similarity solutions used. Numerical solutions with graphical representation are presented. From the reported analysis, it is examined that Graphene Oxide/H2O–EG has better heat transport characteristics and is therefore reliable for industrial and technological purposes. With increased radiation and temperature ratio parameters, a decrement in temperature curve is noticed for both nanofluids. For enhancing values of volume friction parameter a decreased velocity curve is noted and increment is noted for temperature profiles for both nanofluids.