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In the current workflow and heat exchange of a Casson nanoliquid across a penetrable media above a moving plate with variable thermal conductivity, adaptive thickness and chemical reaction are analyzed. First, the governing nonlinear equations of partial derivative terms with proper extreme conditions are changed into equations of ordinary derivative terms with suitable similarity conversions. Then the resulting equations are worked out using the Keller box method. The effects of various appropriate parameters are analyzed by constructing the visual representations of velocity, thermal, and fluid concentration. The velocity profile increased for shape parameter, and the opposite trend is observed for magnetic, Casson, porosity parameters. Temperature profile increases for magnetic, Casson, Brownian motion parameter, and thermophoresis parameters. Concentration profiles show a decreasing trend for wall thickness, Brownian movement, chemical reaction parameters. Also, skin friction values and calculated and matched with previous literature found in accordance. Also, local parameters Nusselt and Sherwood numbers are calculated and analyzed in detail.

The aim of current Paper is to examine the effect/result of ‘heat source’ parameter over a wedge through porous-medium for electrically-conducting fluid flow for a magneto hydrodynamic Casson nanofluid with activation energy. The influence/impact of ‘second law’ analysis for electrically conducting fluid(s) with chemical-reaction also investigated. Dimension-less ordinary differential equations(ODE) are obtained/derived from the highly non- linear PDEs by using similarity transformations. The ‘Runge- Kutta –Fehlberg with shooting technique’ is utilized to solve remodelled ODEs numerically. The effect(s) of the ‘physical parameter’ on velocity, temperature and concentration are extensively discussed through several plots. Numerical result(s) for Nusselt number, skin friction coefficient & ‘Sherwood number’ for various parameter(s) are computed.

An incompressible viscous MHD hydro nanofluid flow of a upright plate with effect of radiative and viscous dissipation is investigated numerically. The energy equation of radiation heat flux is defined by the Rosseland diffusion approximation. Using with suitable similarity transformations the non-linear PDE's are transformed into a set of ordinary differential equations .The converted ODE's are thensolved numerically by Keller Box method which is Finite difference method. The effects of various physical constants are analyzed and discussed in graphical and tabular values. The effects of some physical parameters suchas Lewis number, Prandtl number, buoyancy ratio, Thermophoresis, Brownian motion, radiation parameter, Viscous Dissipation and magnetic parameter are examined on the velocity, temperature and concentration nanofluid volume fraction profiles as well as on the reduced Nusselt number and the localSherwood number.