Effect of heat radiating and generating second-grade mixed convection flow over a vertical slender cylinder with variable physical properties

The boundary-layer flow and heat transfer characteristics of an incompressible thermally radiating second-grade fluid on a linearly stretching permeable vertical slender hollow cylinder subject to viscous dissipation and convection heat exchange at the wall with the surroundings in conjunction with augmented far-field condition is studied. The free-stream or ambient velocity is considered to be linearly stretching while the prescribed surface temperature of the cylinde varies nonlinearly as the axial distance in the presence of elastic deformation and volumetric heat generation. The model incorporates the temperature dependent fluid properties as per dynamic viscosity and thermal conductivity while the viscoelastic or second-grade parameters are temperature-free. In virtue of appropriate transformation, the energy and momentum equations are reduced to nonlinear ordinary differential equations, and then solved numerically using forty-fifth order Runge-Kutta-Fehlberg (RKF45) integration scheme in tandem with shooting method. Analysis is carried out through simulated tables and codes generated graphs. This study reveals that the wall shear stress factor increases with the velocity ratio, mixed convection, curvature and suction parameters but reduces with the stretching parameter. Also the local heat transfer rate enhances with the Prandtl number, suction, curvature, velocity ratio and stretching parameters in contrast to that due to viscoelastic parameter.