Mathematical Modeling: Magnetic Field Effect on Oscillatory MHD Couette Two Dimensional Flow Regime

EasyChair Preprint no. 8348

Abstract

In this paper, a mathematical modeling with quantitative analysis of oscillatory MHD Couette flow between two parallel plates (upper plate is moving relative to fixed lower plate) has been performed by using perturbation technique. The key parameters of this quantitative analysis are velocity gradient, viscosity, magnetic field, amplitude of shear stress, phase lag of shear stress, and frequency of pulsating flow. The mathematical modeling analysis revealed that the amplitude of velocity gradient increases at lower plate comparative to upper plate with increasing magnetic field while the amplitude of shear stress decreases rapidly with increasing magnetic field and becomes constant beyond higher values. This mathematical modeling with quantitative analysis can be utilised in various engineering fields for instance magnetorheological dampers, magnetorheological finishing in optics, enhanced body armor in military and defense, automotive, aerospace, human prosthesis, magneto-hydrodynamics power generators and pumps, polymer technology, petroleum industry.

Keyphrases: harmonic oscillation, Magnetic field oscillatory flow, MHD, rate of heat transfer

@Booklet{EasyChair:8348,
  author = {Alok Singh and Savita Singh and Sudhir Kumar Sharma},
  title = {Mathematical Modeling: Magnetic Field Effect on Oscillatory MHD Couette Two Dimensional Flow Regime},
  howpublished = {EasyChair Preprint no. 8348},

  year = {EasyChair, 2022}}