English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This article presents stability and convergence analyses of subgridmultiscale stabilized finite element formulation of non-Newtonian power-lawfluid flow model strongly coupled with variable coefficientsAdvection-Diffusion-Reaction ($VADR$) equation. Considering the highlynon-linear viscosity coefficient as solute concentration dependent makes thecoupling two way. The stabilized formulation of the transient coupled system isdeveloped based upon time dependent subscales, which ensures inherentconsistency of the method. The proposed algebraic expressions of thestabilization parameters appropriately shape up the apriori and aposteriorierror estimates. Both the shear thinning and shear thickening properties,indicated by different power-law indices are properly highlighted intheoretical derivations as well as in numerical validations. The numericalexperiments carried out for different combinations of small and large Reynoldsnumbers and power-law indices establish far better performance of timedependent $ASGS$ method in approximating the solution of this coupled systemfor all the cases over the other well known stabilized finite element methods.

Subgrid multiscale stabilized finite element analysis of non-Newtonian Power-law model fully coupled with Advection-Diffusion-Reaction equations