Mixed Convection Flow of a Casson Fluid Past a Thin Needle

This paper deals with a steady mixed convection flow past a horizontal thin needle submerged in Casson fluid. The flow-governing equations are changed into a set of non-linear ordinary differential equations utilizing proper transforms. Employing successive linearization, the resulting equations are linearized, and then the Chebyshev spectral collocation technique is implemented. The effects of needle size and mixed convection parameter on stream on velocity and temperature, together with graphical representations of the coefficient of skin friction and local heat transfer rate, are presented. It is found that temperature decreases as needle size decreases but velocity, the coefficient of skin friction, and the Nusselt number improve for both aiding and opposing flow scenarios.