This paper aims to explore a new collocation technique using the Chebyshev polynomial to investigate the magnetohydrodynamic Jeffrey–Hamel blood flow through an arterial tube. Applying the Chebyshev Collocation Method to the reduced one-dimensional third-order differential equation yields a system of nonlinear algebraic equations, which is solved numerically. The impact of the transverse magnetic field intensity on the flow parameters is examined, and the numerical results are validated against those obtained using the Bernstein collocation method. The present study confirms that the proposed method ensures both accuracy and computational efficiency. Furthermore, the product of the plate angle (a) and Reynolds number (Re) enhances the flow velocity, whereas a strong magnetic field significantly modifies the flow behavior.
This work investigates the steady Jeffrey–Hamel blood flow model through arterial geometry and presents an accurate numerical solution using the Chebyshev collocation technique.
The influence of key physical parameters on the flow characteristics is systematically analyzed to evaluate their relative dominance in shaping the velocity distribution.
This study advances the numerical analysis of biofluid dynamics by proposing an efficient spectral framework that can be extended to nonlinear flow problems involving magnetic fields. The proposed methodology broadens the applicability of collocation methods in computational fluid dynamics.
