TY - JOUR
T1 - Study of nonlinear MHD tribological squeeze film at generalized magnetic reynolds numbers using DTM
AU - Rashidi, Mohammad Mehdi
AU - Freidoonimehr, Navid
AU - Momoniat, Ebrahim
AU - Rostami, Behnam
N1 - Publisher Copyright:
© 2015 Rashidi et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
PY - 2015/8/12
Y1 - 2015/8/12
N2 - In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tangential induced magnetic field conservation equations are determined. The DTM-Padé combined method is observed to demonstrate excellent convergence, stability and versatility in simulating the magnetic squeeze film problem. The effects of involved parameters, i.e. squeeze Reynolds number (N1), dimensionless axial magnetic force strength parameter (N2), dimensionless tangential magnetic force strength parameter (N3), and magnetic Reynolds number (Rem) are illustrated graphically and discussed in detail. Applications of the study include automotive magneto-rheological shock absorbers, novel aircraft landing gear systems and biological prosthetics.
AB - In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tangential induced magnetic field conservation equations are determined. The DTM-Padé combined method is observed to demonstrate excellent convergence, stability and versatility in simulating the magnetic squeeze film problem. The effects of involved parameters, i.e. squeeze Reynolds number (N1), dimensionless axial magnetic force strength parameter (N2), dimensionless tangential magnetic force strength parameter (N3), and magnetic Reynolds number (Rem) are illustrated graphically and discussed in detail. Applications of the study include automotive magneto-rheological shock absorbers, novel aircraft landing gear systems and biological prosthetics.
UR - http://www.scopus.com/inward/record.url?scp=84942871766&partnerID=8YFLogxK
U2 - 10.1371/journal.pone.0135004
DO - 10.1371/journal.pone.0135004
M3 - Article
C2 - 26267247
AN - SCOPUS:84942871766
SN - 1932-6203
VL - 10
JO - PLoS ONE
JF - PLoS ONE
IS - 8
M1 - e0135004
ER -