Abstract

A mathematical model comprising Darcy Forchheimer effects on the 3D nanofluid flow with engine oil as a base fluid containing suspended carbon nanotubes (CNTs) is envisioned. The CNTs are of both types i.e., multi-wall carbon nanotubes (MWCNTs) and single-walled carbon nanotubes (SWCNTs). The flow is initiated by an exponentially stretched surface. The impacts of Cattaneo–Christov heat flux along with velocity and thermal slip conditions are key factors in the novelty of the defined model. The boundary layer notion is designed to convert the compact form of equations into the component shape. Appropriate transformations lead to differential equations with high nonlinearity. The final non-dimensional system is solved numerically by a “MATLAB” function known as bvp4c. For both CNTs, different graphical sketches are drawn to present the influence of arising parameters versus related profiles. The outcomes show that higher slip parameter boosts the axial velocity, whereas fluid temperature lowers for a sturdier relaxation parameter.

Highlights

  • The process of heat transfer is basically the movement of heat from the reservoir with high temperature to the reservoir with low temperature

  • Bilal et al [18] outlined a numerical solution of the carbon nanotubes (CNTs)-based nanofluid flow with Hall current impact and Darcy–Forchheimer permeable medium past a vertically convected stretching surface

  • We consider the unsteady 3D flow of nanofluid containing carbon nanotubes (CNTs) in which engine oil is used as a base fluid

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Summary

Introduction

The process of heat transfer is basically the movement of heat from the reservoir with high temperature to the reservoir with low temperature. Bilal et al [18] outlined a numerical solution of the CNT-based nanofluid flow with Hall current impact and Darcy–Forchheimer permeable medium past a vertically convected stretching surface. The flow of non-Newtonian Maxwell fluid flow past an protracted surface with effects of Newtonian heating and chemical reaction is analyzed by Sadiq et al [32] They found that the velocity profile shows differing impacts versus the Deborah number and porosity parameter. Rashid et al [33] examined numerically 3D rotating flow with Darcy–Forchheimer porous media and a binary chemical reaction They gathered that the velocity of the fluid is a dwindling function porosity parameter. To our information no such study is conducted so far that discusses the feature of a Cattaneo–Christov-based model in a nanofluid flow with CNTs of both types embedded in a Darcy–Forchheimer permeable medium with velocity and thermal slips. Some iterations of the physical parameters like the skin friction coefficient and Nusselt number are given in tabulated form for multi-wall carbon nanotubes and single-walled carbon

Modeling of Constitutive Equations
Similarity Transformation
Variables of Engineering Interest
Applied Numerical Scheme
Outcomes with Arguments
Conclusions
Methods
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