B-spline collocation simulation of non-linear transient magnetic nanobio-tribological squeeze-film flow

Beg, OA; Sohail, A; Kadir, A; Beg, T; Ravindran, Sabna

Abstract

A mathematical model is presented for magnetized nanofluid bio-tribological squeeze film flow between two approaching disks. The nanofluid comprises a suspension of metal oxide nanoparticles with an electrically-conducting base fluid, making the nano-suspension responsive to applied magnetic field. The governing viscous momentum, heat and species (nano-particle) conservation equations are normalized with appropriate transformations which renders the original coupled, nonlinear partial differential equation system into a more amenable ordinary differential boundary value problem. The emerging model is shown to be controlled by a number of parameters, viz nanoparticle volume fraction, squeeze number, Hartmann magnetic body force number, disk surface transpiration parameter, Brownian motion parameter, thermophoretic parameter, Prandtl number and Lewis number. Computations are conducted with a B-spline collocation numerical method. Validation with previous homotopy solutions is included. The numerical spline algorithm is shown to achieve excellent convergence and stability in nonlinear bio-tribological boundary value problems. The interaction of heat and mass transfer with nanofluid velocity characteristics is explored. In particular smaller nanoparticle (high Brownian motion parameter) suspensions are studied. The study is relevant to enhanced lubrication performance in novel bio-sensors and intelligent knee joint (orthopaedic) systems.

Citation

Beg, O., Sohail, A., Kadir, A., Beg, T., & Ravindran, S. (2018). B-spline collocation simulation of non-linear transient magnetic nanobio-tribological squeeze-film flow. Journal of Mechanics in Medicine and Biology, 18(1), https://doi.org/10.1142/S0219519418500070

• Journal Article Type: Article
• Acceptance Date: Oct 30, 2017
• Publication Date: Jan 11, 2018
• Deposit Date: Nov 13, 2017
• Publicly Available Date: Jan 11, 2019
• Journal: Journal of Mechanics in Medicine and Biology
• Print ISSN: 0219-5194
• Electronic ISSN: 1793-6810
• Publisher: World Scientific Publishing
• Volume: 18
• Issue: 1
• DOI: https://doi.org/10.1142/S0219519418500070
• Publisher URL: http://dx.doi.org/10.1142/S0219519418500070
• Related Public URLs: http://www.worldscientific.com/worldscinet/jmmb