Radiative MHD Nanofluid Flow over a Moving Thin Needle with Entropy Generation in a Porous Medium with Dust Particles and Hall Current  
[PERSON]  
1 Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam; [EMAIL_ADDRESS]  
[PERSON]  
3 Department of Computer Science, Bahria University, Islamabad Campus, Islamabad 44000, Pakistan 3  
[PERSON]  
4 Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut 115020, Lebanon; [EMAIL_ADDRESS]  
[PERSON]  
5 Department of ICT Convergence Rehabilitation Engineering, Soonchunhyang University, Asan 31538, Korea; [EMAIL_ADDRESS] the average energy loss. Further, it is noted that the entropy generation for the radiation parameter is more near walls in comparison to the middle of the channel. The study of entropy generation in the nanofluid thin-film flow, containing a suspension of both types of carbon nanotubes (CNTs) with Cattaneo-Christov heat flux, magnetohydrodynamics, and variable source/sink, is studied by [PERSON] et al. [4]. Numerical simulations with the erected mathematical model are found by the bvp4c function of MATLAB software (University of New Mexico, New Mexico). It is witnessed that entropy generation is larger for higher estimates of the magnetic parameter for a thin film flow. The entropy generation analysis during the heat transfer process in the flow of Ferrofluid with low oscillating magnetic field past a stretched rotating disk is deliberated by [PERSON] et al. [5]. The analytical solution of the problem is attained via Mathematica-based bvp 2.0 based on the homotopy analysis method. It is comprehended that total entropy is boosted with the dispersion of nanoparticles. Further, it is noted that the irreversibility of the fluid flow is enhanced by the strong magnetic impact. Some recent literature about entropy generation may be found in references [6; 7; 8; 9; 10]. CNTs are cylindrical type carbon allotropes. These were first exposed in the form of multi-walled carbon nanotubes (MWCNTs) by [PERSON] [11] in 1991. This was followed by another study by [PERSON] et al. [12] who introduced the idea of single-walled carbon nanotubes (SWCNTs) in 1993. In today's era, a good number of applications involving CNTs may be found, like in health care, energy, electronics, etc. [13; 14; 15]. It is now a well-established theory that snags with the materials possessing low thermal conductivity are removed with the introduction of nanofluids. Nanofluids holds nanoparticles with a size of \(<\)100 nm. These nanoparticles are made up of copper, metal oxides, alumina, nanomaterials, nitrides, and carbides [16]. The concept of nanofluids was the first time floated by [PERSON] and [PERSON] [17]. A substantial number of studies have been carried out since its inception [18; 19; 20]. Recently, [PERSON] and [PERSON] [21] numerically examined the flow of nanofluid comprising Fe\({}_{3}\)O\({}_{4}\)-H\({}_{2}\)O solution in a permeable cavity under the influence of a variable magnetic field using Control Volume Finite Element Method (CVFEM). They observed the highest heat transfer rate in the case of the platelet-shaped nanoparticles. It was further witnessed by them that the velocity of the nanofluid was on the decline once the strong magnetic field was applied. Entropy optimization for the flow of Carreau nanofluid flow with cubic auto-catalysis chemical reaction was studied by [PERSON] et al. [22] analytically. They noticed that the sturdier magnetic field boosted the entropy generation. [PERSON] [23] found a numerical solution of nanofluid flow under the influence of the magnetic field in a permeable medium via the CVFEM scheme. He analyzed the influences of entropy and exergy on the presented model and reported that entropy loss enhanced in attendance of stronger magnetic field. [PERSON] et al. [24] examined the numerical solution of 3D cross nanofluid with activation energy and binary chemical reaction with zero mass flux and convective boundary conditions.