Adomian decomposition method simulation of Von Kármán
swirling bioconvection nanofluid flow

Shamshuddin, M; Mishra, SR; Beg, OA; Kadir, A

Abstract

The study reveals analytically on the 3-dimensional viscous time-dependent gyrotactic bioconvection in
swirling nanofluid flow past from a rotating disk. It is known that the deformation of the disk is along the radial
direction. In addition to that Stefan blowing is considered. The Buongiorno nanofluid model is taken care of assuming
the fluid to be dilute and we find Brownian motion and thermophoresis have dominant role on nanoscale unit. The
primitive mass conservation equation, radial, tangential and axial momentum, heat, nano-particle concentration and
micro-organism density function are developed in a cylindrical polar coordinate system with appropriate wall (disk
surface) and free stream boundary conditions. This highly nonlinear, strongly coupled system of unsteady partial
differential equations is normalized with the classical Von Kármán and other transformations to render the boundary
value problem into an ordinary differential system. The emerging 11th order system features an extensive range of
dimensionless flow parameters i.e. disk stretching rate, Brownian motion, thermophoresis, bioconvection Lewis number,
unsteadiness parameter, ordinary Lewis number, Prandtl number, mass convective Biot number, Péclet number and
Stefan blowing parameter. Solutions of the system are obtained with developed semi-analytical technique i.e. Adomian
decomposition method. Validation of the said problem is also conducted with earlier literature computed by
Runge-Kutta shooting technique.

Citation

swirling bioconvection nanofluid flow. Journal of Central South University, 26(10), 2797-2813. https://doi.org/10.1007/s11771-019-4214-4

• Journal Article Type: Article
• Acceptance Date: Apr 4, 2019
• Online Publication Date: Nov 14, 2019
• Publication Date: Oct 1, 2019
• Deposit Date: Apr 9, 2019
• Publicly Available Date: Nov 14, 2020
• Journal: Journal of Central South University : Science & Technology of Mining and Metallurgy
• Print ISSN: 2095-2899
• Electronic ISSN: 2227-5223
• Volume: 26
• Issue: 10
• Pages: 2797-2813
• DOI: https://doi.org/10.1007/s11771-019-4214-4
• Publisher URL: https://doi.org/10.1007/s11771-019-4214-4
• Related Public URLs: https://link.springer.com/journal/11771