Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct

Ying Qing Song, Aamir Farooq, Muhammad Kamran, Sadique Rehman, Muhammad Tamoor, Rewayat Khan, Asfand Fahad, Muhammad Imran Qureshi

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This investigation focuses on the mixed initial boundary value problem with Caputo fractional derivatives. The studied pour an incompressible fractionalized Oldroyd-B fluid prompted by fluctuating rectangular tube. The explicit expression of the velocity field and shear stresses for the fractional model are obtained by utilizing the integral transforms, i.e., double finite Fourier sine transform and Laplace transform. Furthermore, the confirmation of the analytical solutions is also analyzed by utilizing the Tzou's and Stehfest's algorithms in the tabular form. In limited cases, ordinary Oldroyd-B fluid similar solutions and classical Maxwell and fractional Maxwell fluid are derived. The flow field's graphs with the influences of relevant parameters are also mentioned.
Original languageEnglish (US)
JournalComplexity
Volume2021
DOIs
StatePublished - Jan 1 2021
Externally publishedYes

ASJC Scopus subject areas

  • General

Fingerprint

Dive into the research topics of 'Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct'. Together they form a unique fingerprint.

Cite this