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An analysis is performed for electrical MHD flow of Williamson Nano Casson fluid with heat transfer. The fluid is positioned toward a porous stretching sheet along with mass flux. The impact of chemical diffusion and nonlinear thermal Radiation are further discussed. A highly nonlinear partial differential equations presenting the Williamson Nano Casson fluid flow over permeable extending plate is transformed to ordinary differential equations through appropriate similarity transformation and solved them with a shooting method-using package ND-Solve on Mathematica. The ascendency of arising physical interpretation of thermo-physical parameter on energy field, highly concentration field and density field are perceived. The valuations are achieved graphically for numerous protuberant terms like non Newtonian Williamson parameter, bio convection, Peclet number, mixed convection Hartman number, Casson parameter, thermophoresis diffusion, bio convection Rayeigh number, Brownian motion and mixed convection terms. These diverse terms are applied on dimensionless velocity function, concentration function, temperature function and density of the motile microorganism and analyzed numerically in detail. It is detected that through rising the value of bio-convection and Peclet number, the microorganism field diminishing. Graphical diagrams are illustrating the consistency of the latest outcomes.

Hybrid nanofluids comprising carbon nanotubes (CNTs) are finding applications in advanced heat exchange technologies due to the unusually high thermal conductivity and chemically inert nature of CNTs. The thermal performance of a hybrid nanofluid, comprising MWCNTs and TiO 2 nanoparticles and flowing past a thin hot needle, is investigated in the present article. The Sakiadis and Blasius hybrid nanofluid flow scenarios around a parabolically shaped thin hot needle are modeled by using a non-Newtonian Casson fluid model coupled with the energy equation. The governing equations are coupled non-linear partial differential equations which are solved by the shooting method along with the 4th order Runge-Kutta method. The main aim of the study is to perform a comparative analysis among the base fluid (which is a 50:50 mixture of ethylene glycol [EG] and water), TiO 2 /EG-water nanofluid, and TiO 2 -MWCNTs/EGwater hybrid nanofluid and to analyze which fluid is the best transporter of heat. Apart from this, the impact of needle size and different flow conditions on heat transport is investigated. The numerical results reveal that the rate of heat transfer is maximum for TiO 2 -MWCNTs/EG-water hybrid nanofluid among the base fluid, nanofluid, and hybrid nanofluid. The magnitude of the Nusselt number is high for the case of the Blasius flow than for the Sakiadis flow.