Transportation of thermal and velocity slip factors on three-dimensional dual phase nanomaterials liquid flow towards an exponentially stretchable surface

Azad Hussain; Nevzat Akkurt; Aysha Rehman; Haifaa F Alrihieli; Fahad M Alharbi; Aishah Abdussattar; Sayed M Eldin

doi:10.1038/s41598-022-21966-y

Transportation of thermal and velocity slip factors on three-dimensional dual phase nanomaterials liquid flow towards an exponentially stretchable surface

Sci Rep. 2022 Nov 3;12(1):18595. doi: 10.1038/s41598-022-21966-y.

Authors

Azad Hussain¹, Nevzat Akkurt², Aysha Rehman³, Haifaa F Alrihieli⁴, Fahad M Alharbi⁵, Aishah Abdussattar¹, Sayed M Eldin⁶

Affiliations

¹ Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan.
² Department of Mechanical Engineering, Munzur University, 62000, Tunceli, Turkey.
³ Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan. aysharehman1986@gmail.com.
⁴ Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi Arabia.
⁵ Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca, Saudi Arabia.
⁶ Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt.

Abstract

The fundamental purpose of this research is to elaborate on slip boundary conditions and the flow of three-dimensional, stable, incompressible, rotating movements of nanoparticles lying across a stretchable sheet. The mathematical model for fluid flow is created using the assumptions stated above. The partial differentials are produced after utilizing boundary layer estimates. The partial differential governing equations are reduced into three coupled ordinary differential equations by using similarity transformations. After, applying transformations the system is solved numerically. Numerical results are approved with the help of the MATLAB bvp4c algorithm. The analysis shows that velocity and temperature are strongly dependent on essential parameters like stretching ratio, velocity slip, rotation, thermal slip parameter, and Prandtl number. Numerical values of distinct parameters on heat flux and skin friction factors are shown in a tabulated form. Partial velocity and thermal slip are applied to the temperature surface. The comparison among the nano-sized particles copper oxide and silver with water base nanofluid affecting velocity and temperature fields are used for analysis. Moreover, the Graphical depiction designates that the velocity and temperature spreading of the thermal slip parameter is increasing. It is observed that Ag-water is the best heat carrier as compared to CuO-water nanofluid.