Abstract
•Impact of gold nanoparticles (Au-NPs) in flow of Sisko fluid is studied.•Flow is induced by a nonlinear stretching surface.•Energy equation is modeled in the presence of thermal radiation.•Numerical solutions are developed by Runge-Kutta-Fehlberg (RKF45) technique.
Characteristics of heat transfer of gold nanoparticles (Au-NPs) in flow past a power-law stretching surface are discussed. Sisko bio-nanofluid flow (with blood as a base fluid) in existence of non-linear thermal radiation is studied. The resulting equations system is abbreviated to model the suggested problem in non-linear PDEs. Along with initial and boundary-conditions, the equations are made non-dimensional and then resolved numerically utilizing 4th–5th order Runge–Kutta-Fehlberg (RKF45) technique with shooting integration procedure. Various flow quantities behaviors are examined for parametric consideration such as the Au-NPs volume fraction, the exponentially stretching and thermal radiation parameters. It is observed that radiation drives to shortage the thermal boundary-layer thickness and therefore resulted in better heat transfer at surface.