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Carbon Nanotubes Flow Induced by Rotating Stretching Disk with Non- Linear Radiations and Slip


Uzma Sultana, Muhammad Mushtaq and Ilyas Khan*   Pages 1 - 11 ( 11 )


Background: The phenomenon of rotating disks involving flows serves as a crucial element in the field of fluid mechanics. Owing to its massive practical importance in engineering and industry, considerable attention is being paid to the extension of the problems associated with rotating stretching disks. In this regard, Carbon Nanotubes (CNT) are chosen as the best example of true nano technology. CNTs have an incredible range of applications due to their extraordinary characteristics. But single rotating-stretching disk with CNTs fluid flow has not been plowed yet.

Objective: The objective of this work is to outstretch the study of viscous fluid with Carbon Nanotubes (CNTs) and transfer of heat due to radially stretching and rotating disk contingent to Navier slip, nonlinear radiations and convective boundary conditions.

Methods: Cylindrical coordinates are utilized in the modeling and the mathematical formulation of the flow equations. These flow equations take the form of ordinary differential equations by means of similarity transformations. The emanated equations are solved by two numerical methods i.e. the shooting method and the Keller box method respectively. Xue model of carbon nanotubes is incorporated to carry out the research.

Results: The acquired solutions are tabulated and precise values of the physical parameters with excellent matching results are shown. These results are juxtaposed with CNTs of multi-wall and single-wall carbon nanotubes, while water is taken as a base fluid.

Conclusion: Results reveal a significant depletion in skin friction with an increase in the slip parameter. Slip, nonlinear radiation and Biot number proved as liable factors in escalating the rate of heat transfer.


Axially rotating-stretching disk, non-linear radiations, carbon nanotubes, Navier slip, Keller box method, shooting technique.


Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952

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