[01] Elsayed Mohamed Abdel Rahman Elbashbeshy, Mathematics Department, Faculty of Science, Ain Shams University, Abbassia, Cairo, Egypt. [02] Khaled Mohamed Abdelgaber, Department of Physics & Engineering Mathematics, Faculty of Engineering - Mataria, Helwan University, Cairo, Egypt. [03] Hamada Galal Asker, Department of Physics & Engineering Mathematics, Faculty of Engineering - Mataria, Helwan University, Cairo, Egypt.

The unsteady flow of Micropolar Maxwell fluid over a stretching surface is investigated in this paper numerically. The governing partial differential equations are transformed into nonlinear ordinary differential equations by using a similarity transformation. The numerical results are guaranteed in comparison with the previous under special assumptions. The effects of elasticity number and material parameter on velocity and micro-rotation profiles are presented and discussed in aid of tables and graphs.

Maxwell Fluid, Stretching Surface, Magnetic Field, Micropolar Fluid

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