Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow

The partial slip effects for radiative convective nanofluid flow over a stretching sheet in porous medium are analytically explored in this work. The Navier-Stokes equations, the momentum and the energy equations are converted into a set of non-linear ODEs by the similarity transformation. Using the modified optimal homotopy asymptotic method (OHAM), the resulting non-linear ODEs are analytically approximately solved. The impact of various parameters, such as: the velocity exponential factor n, the wall thickness parameter ?, the dimensionless velocity slip parameter d(1), the Prandtl number Pr, the radiation parameter R, and the dimensionless temperature jump parameter d(2), on the behaviour of the mass and heat transfer is presented. The influence of these parameters is tabular and graphically presented. An excellent agreement between the approximate analytical solution and the corresponding numerical solution is highlighted. The results obtained confirm that modified OHAM is a useful and competitive mathematical tool to explore a large class of non-linear problems with applications in various fields of science and engineering.

Automated summary

In this work, the partial slip effects for radiative convective nanofluid flow over a stretching sheet in a porous medium are analytically explored. The Navier-Stokes equations, the momentum equation, and the energy equation are transformed into a set of non-linear ODEs using a similarity transformation. The resulting equations are solved approximately using the modified optimal homotopy asymptotic method (OHAM). The impact of various parameters on the mass and heat transfer behavior is investigated and presented graphically and in tabular form. The results demonstrate the effectiveness of the modified OHAM in solving a wide range of non-linear problems.