Abstract:
The consequence of magnetohydrodynamics (MHD) flow on entropy generation analysis
and thermal radiation for carbon nanotubes via a stretched surface through a magnetic field has
been discovered. The governing partial differential equations are altered into ordinary differential
equations with the aid of the similarity variable. Here, water is considered the base fluid with
two types of carbon nanotubes, such as single-wall carbon nanotubes (SWCNTs) and multi-wall
carbon nanotubes (MWCNTs). This domain is used in the energy equation, and then it is solved
analytically and transferred in terms of hypergeometric function. The existence and nonexistence of
solutions for stretching are investigated. Some of the primary findings discussed in this article show
that the presence of carbon nanotubes, magnetic field, and Eckert number develop heat transfer in
nanofluids and heat sources and that Eckert number reduces entropy formation. Different regulating
parameters, such as Casson fluid, mass transpiration, thermal radiation, solid volume fractions,
magnetic constraint, and heat source/sink constraint, can be used to analyze the results of velocity
and temperature profiles. The novelty of the current study on the influence of magnetic field entropy
analysis on CNTs flow with radiation, is that elastic deformation is the subject of this research, and this
has not previously been examined. Higher values of heat sources and thermal radiation enhance the
heat transfer rate. The study reveals that thermal radiation, Casson fluid; mass transpiration, Darcy
number, and Prandtl number increase, and that decrease in the buoyancy ratio, magnetic parameter,
and volume fraction decrease the values of the buoyancy ratio, and also control the transfer of heat.
