Nonlinear exploration of Oldroyd-B nano-liquid filled in hele-shaw cell under several types of gravity modulation with a thermal difference.

The impact of various types of G-jitter on the stability of Oldroyd-B nano-liquid filled in Hele-Shaw cell are investigated in this study. The Oldroyd-B liquid model is significant because of its many applications, including the production of plastic sheets, biological solution pant tars glues, and so on. In the present paper, we observed the Nusselt number on heat transfer for fluid and particle phases and mass transportation for non-linear stability exploration. Both Mathematica NDSolve and RKF-45 methods are used to analyze heat/mass transportation in the region, with the result that they both yield exactly the same heat/mass transportation rate. Consequently, the RKF-45 method has verified that all Mathematica NDSolve solutions are converging. In heat and mass transfer, the Deborah number, retardation parameter, G-jitter, and H-S number all play significant roles. Heat/mass transportation in the region is improved by increasing the amount of the Deborah number, while raises the Hele-Shaw number reduces heat and mass transportation in the region. As the retardation parameter is increased, the heat and mass transportation in the system reduces. [ABSTRACT FROM AUTHOR]