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.
journal_name
Sci Repjournal_title
Scientific reportsauthors
Ferdows M,Hossan A,Bangalee MZI,Sun S,Alzahrani Fdoi
10.1038/s41598-020-72545-ysubject
Has Abstractpub_date
2020-10-12 00:00:00pages
17004issue
1issn
2045-2322pii
10.1038/s41598-020-72545-yjournal_volume
10pub_type
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