Abstract

The impact of nonlinear thermal radiations rotating with the augmentation of heat transfer flow of time-dependent single-walled carbon nanotubes is investigated. Nanofluid flow is induced by a shrinking sheet within the rotating system. The impact of viscous dissipation is taken into account. Nanofluid flow is assumed to be electrically conducting. Similarity transformations are applied to transform PDEs (partial differential equations) into ODEs (ordinary differential equations). Transformed equations are solved by the homotopy analysis method (HAM). The radiative source term is involved in the energy equation. For entropy generation, the second law of thermodynamics is applied. The Bejan number represents the current investigation of non-dimensional entropy generation due to heat transfer and fluid friction. The results obtained indicate that the thickness of the boundary layer decreases for greater values of the rotation parameter. Moreover, the unsteadiness parameter decreases the temperature profile and increases the velocity field. Skin friction and the Nusselt number are also physically and numerically analyzed.

Highlights

  • Applications of nanofluids in technology and science are increasing day by day, and they play an important role in various machinery and engineering applications such as detergents, microchip technology, transferences, micromechanical systems and biomedical applications

  • The aim of the current research is to obtain an analytical solution using the homotopy analysis method (HAM) for an unsteady, MHD, and the incompressible rotating flow of carbon nano tubes nanofluid over a shrinking surface with nonlinear thermal radiation and viscous dissipation effect

  • Mathematical modeling is established by thermal performance of with cooling devices

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Summary

Introduction

Applications of nanofluids in technology and science are increasing day by day, and they play an important role in various machinery and engineering applications such as detergents, microchip technology, transferences, micromechanical systems and biomedical applications. In light of these applications, researchers have applied modern techniques and have modified the base fluids by adding ultra-fine solid particles. Khan [1] scrutinized nanofluid flow for Buongiorno’s model with the transfer of heat and mass. Mahdy et al [2] depicted Buongiorno’s model for an unsteady nanofluid flowing in a contracting cylinder in the presence of heat transfer. Researchers have examined nanofluid flow over a stretching sheet [4,5,6]

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