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Purpose

The purpose of this paper is to theoretically investigate the unsteady separated stagnation-point flow and heat transfer past an impermeable stretching/shrinking sheet in a copper (Cu)-water nanofluid using the mathematical nanofluid model proposed by Tiwari and Das.

Design/methodology/approach

A similarity transformation is used to reduce the governing partial differential equations to a set of nonlinear ordinary (similarity) differential equations which are then solved numerically using the function bvp4c from Matlab for different values of the governing parameters.

Findings

It is found that the solution is unique for stretching case; however, multiple (dual) solutions exist for the shrinking case.

Originality/value

The authors believe that all numerical results are new and original, and have not been published elsewhere.

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