文档介绍：1466 B. SAHOO and S. PONCET
variables of the resulting partial differential equations by use of Lie point symmetries. Sajid
et al.[8] studied the steady flow of a fourth-grade fluid past a plate with suction and injection
velocities at the surface of the plate. The homotopy analysis method (HAM) was used to find
the solution to the fifth order highly nonlinear differential equation with two available boundary
conditions. Hayat et al.[9] used the HAM method to investigate the influence of the heat transfer
on the flow of a fourth-grade fluid past a porous plate. The unsteady ohydrodynamics
(MHD) flow of a fourth-grade fluid due to an oscillating plate with suction and blowing was
investigated numerically by Wang and Wu[10]. The corresponding sixth-order nonlinear partial
differential equation was solved by finite difference technique after augmenting four asymptotic
boundary conditions. Recently, Marinca et al.[11] used the optimal HAM to solve the resulting
highly nonlinear momentum equation with no-slip boundary condition.
The foremost reason which motivated for the present study is the nonlinearity and the order
of the differential equation corresponding to the momentum equation due to the flow of a fourth-
grade fluid. The order of the resulting differential equation exceeds drastically from the available
adherence boundary conditions due to the presence of the higher order material derivatives of
the strain tensor in the constitutive relation for the fourth-grade fluid. The literature survey
reveals that in the aforementioned studies, respective authors[6–10] have augmented additional
boundary conditions at infinity. However, these are relatively weak and physically plausible.
Few other interesting results from the literature survey arouse a curiosity to consider the MHD
flow and heat transfer of a fourth-grade fluid with partial slip boundary condition. Hayat et
al.[6] reported that in the presence of the ic field, the boundary layer thickness decreased
with an