An analytical study on unsteady motion of vertically falling spherical particles in power-law

What is it about?

Unsteady motion of a rigid spherical particle in a quiescent shear-thinning power-law fluid was investigated analytically. The accurate series solution was found by coupling the homotopy-perturbation method (HPM) and the variational iteration method (VIM). The results were compared with those obtained from VIM and the established finite difference scheme.

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Why is it important?

It was shown that both methods (VIM and HPM–VIM) gave accurate results; however, the amount of calculations required for HPM–VIM was significantly reduced. In addition to improved efficiency, it was revealed that HPM–VIM leads to completely reliable and precise results.