Analysis of Magnetohydrodynamics Stagnation point flow with Partial slip
boundary conditions
Abstract
In this article, the existence and uniqueness result for the solution of
a singular third-order ordinary differential equation has been
investigated on a semi-infinite domain [0,∞). Such differential
equation arises in boundary layer flow near a stagnation point on a
rough plate in the presence of a transverse magnetic field. A suitable
similarity transformation is used to transform the governing partial
differential equation into a nonlinear ordinary differential equation
along with partial slip boundary conditions. The resulting equation with
its boundary conditions contains two parameters: the magnetic parameter,
M and the slip parameter, λ. Some properties of the velocity profiles
such as monotonic behaviour and bounded are obtained before proceeding
numerical results. Further, the asymptotic behaviour at the free
boundary has also been discussed. The validation of the obtained
solution has been done numerically by shifted Chebyshev collocation
method. The velocity profiles are plotted to address the significance of
the parameters. The results are also compared through the table with
previous results and found remarkably good agreement.