## 1 Introduction  
Single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) are similar in certain aspects, but they also have some striking differences. SWCNTs are an allotrope of sp\({}^{2}\) hybridized carbon, and are similar to fullerenes. Single-walled carbon nanotubes (SWCNTs) have unique character due to their unusual structure. The structure of SWCNTs demonstrates significant optical and electronic features, tremendous strength and flexibility, and high thermal and chemical stability. As a result, SWCNTs are expected to dramatically impact several industries, particularly with respect to electronic displays, health care, and composites. MCWNTs are also suitable for many applications due to their high conductivity. Applications include electrostatic discharge protection in wafer processing and fabrication, plastic components for automobiles, plastics rendered conductive to enable the electrostatic spray painting of automobile body parts. The carbon nanotube (CNT) is composed of allotropes of carbon, and has a cylinder-shaped nanostructure. The molecules of carbon in cylindrical form have remarkable physiogonies that are useful for applied sciences, optics, physical sciences, fabric sciences, energy, health sciences, and manufacturing [1]. Terminology with respect to carbon nanotubes (CNTs) was first presented by [PERSON] [2] in 1991, who explored multi-walled carbon nanotubes (MWCNTs) using the Krastschmer and Huffman technique. Single-walled carbon nanotubes (SWCNTs) were reported by [PERSON] in 1993 [3]. It is acknowledged that nanofluids will reduce the difficulties connected with materials with low thermal conductivities, like coal oil, water, engine oil, gasoline etc. Nanofluids contain a homogeneous combination of nano-size materials, with lengths ranging from 1 nm to 100 nm in a base liquid. Nanofluids have applications in automobile engine freezing, heat interchangers, solar heating water, bio-medicine, cooling of micro-electronic chips, and enhanced productivity of diesel engines. Expressions with respect to nanofluids were initially presented by [PERSON] [4] using the inconsistent thermal conductivity of liquid (water) by depositing copper nanomaterial. [PERSON] et al. [5] reported that the SWCNT nano-liquids improve the thermal performance of solar collectors in place of water, in a context where one of the most manageable and contamination-free source of renewable energy is solar energy, and solar aerials. It can transform solar radiation into heat energy. In the textile industry, much attention has been paid to coating CNTs because of their uses in the sound industry, for example in megaphones and headsets. [PERSON] et al. [6] reported that very thin CNT films radiate lurid sound, and therefore prepared thin film CNT megaphones. [PERSON] et al. [7] examined the productivity of water-based nanofluid CNTs and deliberated the consequences of stumpy volume fraction nanoparticles in a range from 0.0055% to 0.278% on the physical properties (density, viscosity, thermal conductivity, and specific heat) of nanofluids. [PERSON] et al. [8] investigated the influence of magnetohydrodynamics on Poiseuille flow and heat analysis of CNTs with a Casson fluid vertical channel. Further studies on carbon nanotubes can be appraised in [9; 10; 11; 12; 13; 14]. [PERSON] et al. [15] investigated the three-dimensional (3D) rotating flow of carbon nanotubes with a Darcy-Frochheimer porous medium. [PERSON] et al. [16] studied nonlinear optical vibrations of single-walled carbon nanotubes. [PERSON] et al. [17] discussed the convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects in his research article. In an article by [PERSON] et al. [18] the purification and dissolution of carbon nanotube fiber spun using the floating catalyst method were reported. In applied sciences and engineering, flows with respect to nonlinear materials are essential.