Approximate analytical solution of squeezing unsteady nanofluid flow

• An approximate analytical solution of squeezing unsteady nanofluid flow was found.
• A Duan–Rach Approach was used.
• The effects of some governing parameters are investigated.

In this paper, the Duan–Rach Approach (DRA) was used to obtain an approximate analytical solution of squeezing unsteady nanofluid flow. An approximate analytical solution can be obtained for a velocity and a temperature profile. This method modifies the standard Adomian Decomposition Method (ADM) by evaluating the inverse operators at the boundary conditions directly. The obtained results show a good agreement with numerical method (fourth order Runge–Kutta algorithm). The algorithm derived from this approach can be easily implemented.

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