Abstract
Objectives: To study the unsteady magneto-hydro-dynamic (MHD) thin layer flow of a fourth-order fluid through a moving and oscillating belt. Methods: The well-known analytical technique, namely Adomian decomposition method (ADM) is used to solve the non-linear partial differential equation for governing equations of velocity profile with subjects to initial and boundary conditions for both lift and drainage problems. Findings and novelty/ improvements: The solution is found in excellent agreement. The basic purpose to study the effect of MHD on velocity field and understand the behavior of this physical problem and the effects of different non-dimensional parameters the graphical results are provided. Keywords: Unsteady Flow, Thin Films/Layers, Fourth-Order Fluid, Magneto-hydro-Dynamics, Non-Newtonian Fluid, Adomian Decomposition Method.
Highlights
In researched articles, the various structures of non-Newtonian fluids have been advised to modify the research because of the heterogeneous physical nature of these fluids
The easiest subtype is the second-order fluids known as grade 2 fluid by which one can sensibly has an expectation to investigate the solution by analytical technique for the predictions of normal stress differences
The analytical solutions are examined for unsteady MHD thin layer flow of fourth-order fluid through a vertical belt which is oscillating and moving
Summary
The various structures of non-Newtonian fluids have been advised to modify the research because of the heterogeneous physical nature of these fluids. The (b) subtype is known as grade 3 fluid shows an un-idealistic descriptive behavior of these types of fluids. This fluid model can abduct the non-Newtonian behavior for instance normal stresses and shearing thickness or shearing thinness. The another sub-model of differential type consider as a fourth-order fluid classification or model which captures the greatest amount of fluids flow at one time. In Ref. [1], Gul et al investigated the velocity profile of fourth order unsteady thin film fluid flow on a vibrating and vertical moving belt
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