## 1 Introduction  
Fluids comprised of very small-sized particles or impurities show enhanced thermal properties and are termed dusty fluids. The efficiency of machines is affected by the suspension of dust particles, but dusty fluids are still beneficial for increasing thermal conductivity. Dust particles have been used in scientific and engineering applications including cosmic dust, which is formed by mixing gas and dust particles, as well as dust collection, acoustics, the transportation of suspended powdered materials through pipes, oceanography, sedimentation processes, the transport of slag or slurry, facilitating the flow of blood through arteries, spray cooling, rain erosion, etc. [1]. [PERSON] and [PERSON] [2] discussed heat transportation via a mixture of gas and solids. [PERSON] [3] analyzed the stability of the boundary layer flow of dusty gas. [PERSON] et al. [4] studied heat transfer in the context of unsteady Couette flow of a dusty fluid with an ion slip effect, in the presence of uniform suction/injection. [PERSON] et al. [5] discussed the influence of nonlinear thermal radiation on Maxwell fluid flow with uniformly distributed dust particles. [PERSON] et al. [6] performed radiative flow and heat transfer analysis of a dusty nanofluid with electrically conducting dust particles (Cu, CuO); they studied how increased heat transfer promoted particle interactions. [PERSON] et al. [7] performed a two-dimensionalboundary layer flow analysis of dusty fluids over a shrinking surface. Boundary layer approximation was utilized to formulate the problem, and the solution was obtained using the bvp4c MATLAB function. [PERSON] et al. [8] performed boundary layer flow analyses of a dusty fluid, together with an analysis of porosity and the magnetic field effect, using titanium oxide nanoparticles. [PERSON] et al. [9] explored the Casson fluid flow of dust particles in a vertical wavy cone, including the heat transfer effect. [PERSON] et al. [10] investigated two-phase transient fluid flow with dust particles; they used Kirchhoff's voltage law (KVL) to estimate the viscosity and thermal conductivity. Instead of using only a base fluid or the bulk of the colloidal suspension, heat transfer achieved by suspending small-sized solid particles was investigated to improve thermal conduction. Such fluids are called nanofluids and are formed by the colloidal suspension of nanoparticles that can function as an efficient heat exchanger [11; 12; 13; 14; 15; 16; 17; 18; 19; 20; 21]. Heat and mass transfer analysis of dusty fluid flows over various geometries have been reported [22; 23; 24]. Experiments have suggested that the capacity for the transportation of heat differs among nanoparticles. The shape and size of nanoparticles have been shown to be important in this regard. The thermal conduction of nanofluids increased by sixfold in the presence of carbon nanotubes (CNTs) in comparison to nanoparticles. CNTs are allotropes of carbon; they have a one-dimensional structure and are cylindrical in shape, which enhances their mechanical and electrical properties [25]. [PERSON] et al. [26] discussed the enhancement of thermal conduction in cylindrical CNTs. Carbon atoms show three types of hybridization. Carbon chains exist within a network, and carbon nanotubes are characterized by a hexagonal arrangement of carbon atoms. CNTs have high thermal conductivity. Here, we considered only single-walled carbon nanotubes (SWCNTs). A literature review revealed no previous studies on dust particles with CNTs. The heat transfer in fluid flow problems wherein a thin film is stretched over surfaces has been examined by many researchers. These investigations indicted numerous applications, including strand casting, the production of plastic films and sheeting, the drawing of polymer surfaces, thermoplastic coating, condensation, etc. The liquid obtained as a result of condensation plays a vital role in chemical engineering processes [27].