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This study analyzes two-dimensional magnetohydrodynamic nanofluid flow through walls with a porous channel of admittance using pseudo-spectral Chebyshev collocation scheme. The magnetohydrodynamic model is developed by incorporating suction/injection in the slowly contracting/expanding walls of the channel. The obtained results are verified with RungeKutta method and some excellent agreements are established. The simulated results through the scheme employed in the present study revealed that the channel lateral velocity decreases with an increase in the flow Reynolds number during expansion. This velocity is also observed to be proportional to the wall expansion ratio with a decreased value towards the porous channel center. As a result of the tremendous accuracy demonstrated by the collocation method, the obtained solutions may serve as a benchmark for the subsequent investigation and studies in this research area.

Chebyshev pseudospectral collocation method for magneto-nanofluid flow through a porous channel with suction/injection at slowly expanding/contracting walls