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/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

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

Zendy Tools

Zendy Open

Blasius boundary layer solution is a Maclaurin series expansion of thefunction \(f(\eta)\), which has convergence problems when evaluating for highervalues of \(\eta\) due to a singularity present at \(\eta\approx-5.69\). Inthis paper we are introducing an accurate solution to \(f(\eta)\) usingTaylor's series expansions with progressively shifted centers ofexpansion(Leaping centers). Each series is solved as an IVP with the threeinitial values computed from solution of the previous series, so the gapbetween the centers of two consecutive expansions is selected from within theconvergence disc of the first series. The last series is formed such that it isconvergent for a reasonable high \(\eta\) value needed for implementing theboundary condition at infinity. The present methodology uses Newton-Raphsonmethod to compute the value of the unknown initial condition viz. \(f''(0)\) inan iterative manner. Benchmark accurate results of different parameters of flatplate boundary layer with no slip and slip boundary conditions have beenreported in this paper.

Accurate benchmark results of Blasius boundary layer problem using a leaping Taylors series that converges for all real values