Analysis of Unsteady MHD Thin Layer Flow of Fourth-Order Fluid Through a Vertical Belt

Mohammad Osama Zaheer; Asif Ali Shaikh and Fozia Shaikh

doi:10.17485/ijst/2020/v13i03/148554

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Analysis of Unsteady MHD Thin Layer Flow of Fourth-Order Fluid Through a Vertical Belt

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2020/v13i03/148554

Year: 2020, Volume: 13, Issue: 3, Pages: 299 – 315

Original Article

Analysis of Unsteady MHD Thin Layer Flow of Fourth-Order Fluid Through a Vertical Belt

Mohammad Osama Zaheer^*, Asif Ali Shaikh and Fozia Shaikh

Mehran University of Engineering and Technology, Jamshoro 76090, Pakistan; Osama.mth.st@gmail.com, asif.shaikh@faculty.muet.edu.pk, fozia.shaikh@faculty.muet.edu.pk

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.