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This study inspects the effects of elastic deformation and Stefan blowing on MHD Boger nanofluid over a vertical cylinder in the existence of the local thermal non-equilibrium and a porous medium. The characteristics of heat transfer without LTNECs (local thermal equilibrium conditions) are examined in this paper using a simple mathematical model. For the solid and fluid phases, two different thermal gradients are required under typical LTNECs. As accurate control of temperature is essential in microelectronic devices, its application may be useful in the design of heat exchangers and cooling systems. This concept also has applications specifically in systems for targeted drug delivery in biomedical engineering were optimizing heat and mass transfer inside nanofluid can enhance treatment efficacy. In the aerospace and automotive industries, where maximizing fluid flow and heat transport properties is crucial for both performance and safety, it also facilitates the development of thermal management systems that use less energy. Similarity variables can be used to convert a system of partial differential equations into ordinary differential equations. Numerical results are simulated using the Bvp4c. The results show that the thermal distribution of the solid phase and the rate of heat transport in the liquid phase decline as the value of the interphase heat transport factor increases.
Abbas et al. (Sat,) studied this question.