Stability theory of nano-fluid over an exponentially stretching cylindrical surface containing microorganisms.

M Ferdows, Amran Hossan, M Z I Bangalee, Shuyu Sun, Faris Alzahrani

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This research is emphasized to describe the stability analysis in the form of dual solution of the flow and heat analysis on nanofluid over an exponential stretching cylindrical surface containing microorganisms. The research is also implemented to manifest the dual profiles of velocity, temperature and nanoparticle concentration in the effect of velocity ratio parameter ([Formula: see text]). Living microorganisms' cell are mixed into the nanofluid to neglect the unstable condition of nano type particles. The governing equations are transformed to non-linear ordinary differential equations with respect to pertinent boundary conditions by using similarity transformation. The significant differential equations are solved using build in function bvp4c in MATLAB. It is seen that the solution is not unique for vertical stretching sheet. This research is reached to excellent argument when found results are compared with available result. It is noticed that dual results are obtained demanding on critical value ([Formula: see text]), the meanings are indicated at these critical values both solutions are connected and behind these critical value boundary layer separates thus the solution are not stable.
Original languageEnglish (US)
JournalScientific reports
Volume10
Issue number1
DOIs
StatePublished - Oct 13 2020

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