Open AccessMathematical Analysis of Magnetized Rotating Nanofluid Flow Over nonlinear shrinking surface: Duality and Stability
Author(s) -
Dr Sumera Dero,
Ghulam Hyder Talpur,
Abbas Ali Ghoto,
Shokat Ali
Publication year - 2021
Publication title -
sukkur iba journal of computing and mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2522-3003
pISSN - 2520-0755
DOI - 10.30537/sjcms.v5i2.880
Subject(s) - nusselt number , nanofluid , mathematics , flow (mathematics) , shooting method , mechanics , nonlinear system , ordinary differential equation , thermophoresis , partial differential equation , solver , hartmann number , sherwood number , boundary layer , mathematical analysis , boundary value problem , physics , reynolds number , differential equation , heat transfer , mathematical optimization , quantum mechanics , turbulence
In this study, the MHD effect on boundary layer rotating flow of a nanofluid is investigated for the multiple branches case. The main focus of current research is to examine flow characteristics on a nonlinear permeable shrinking sheet. Moreover, the governing partial differential equations (PDEs) of the problem considered are reduced into coupled nonlinear ordinary differential equations (ODEs) with the appropriate similarity transformation. Numerical results based on the plotted graphs are gotten by solving ODEs with help of the three-stage Labatto IIIA method in bvp4c solver in MATLAB. To confirm numerical outcomes, current results are compared with previously available outcomes and found in good agreement. Skin friction coefficients, Nusselt and Sherwood numbers, velocity profiles, temperature profiles, and concentration profiles are examined. The results show that dual (no) branches exist in certain ranges of the suction parameter i.e., SSc (SSc). Further, profiles of velocity decrease for rising values of Hartmann number in the upper branch, while reverse trend has been noticed in a lower branch. Profiles of temperature and concentration enhance for the increasing values of thermophoresis in both branches. stability analysis of the branches is also done and noticed that upper branch is a stable branch from both branches. Finally, it is noted that the stable branch has symmetrical behavior with regard to the parameter of rotation.