Heat transfer

Materials science

Boundary value problem

Biot number

Carreau fluid

Thermophoresis

Mass transfer

Porosity

Thermodynamics

Boundary layer

Physics

Shooting method

Mathematics

Flow (mathematics)

Mathematical analysis

Composite material

Heat generation

Nanofluid

Internal heating

Mechanics

Convection

Physica A Statistical Mechanics and its Applications

An analysis has been carried out to study a problem of the boundary-layer flow of Carreau nanofluid over a non-linearly stretched sheet with chemical reaction and the heat generation/absorption in a porous medium. A power-law model includes a two-phase model for Carreau nanofluid with a convective condition. The governing PDEs with the corresponding boundary conditions are modified to a system of non-linear ODEs with the appropriate boundary conditions by picking local similarity conversions and solved numerically by using Runge–Kutta–Fehlberg 4th–5th order numerical method (RKF45) on based shooting technique. This investigation discusses the effects of study parameters like the porosity parameter K1, the heat source λ>0 or sink λ<0 parameter, the chemical reaction parameter γ1 and the Biot number Bi on flow velocity, temperature and nanofluid volume fraction in addition to the heat and mass transfer rates tabular and graphically. A comparative study is likewise revealed showing the comparison of current results with previously published data.

Numerical study for Carreau nanofluid flow over a convectively heated nonlinear stretching surface with chemically reactive species