Numerical Chebyshev finite difference examination of Lorentz force effect on a dissipative flow with variable thermal conductivity and magnetic heating: Entropy generation minimization

This work presents the computational analysis of entropy generation minimization in a dissipative flow of viscous fluid. The flow is produced by a non-linearly elastic surface under the influence of the variable magnetic field. The non-isothermal boundary condition is chosen such that all the embedding flow control parameters are free from the space variables. It is supposed that the working fluid's thermal conductivity is temperature-dependent. The heating term corresponding to the magnetic dissipation effect is also added to the energy equation. The governing energy and momentum equations are simplified by similarity transformations and numerically solved using Chebyshev Finite Difference Scheme (ChFDS). Volumetric entropy generation in dimensionless form is also obtained via similarity transformations. The obtained solutions are also utilized for calculating entropy and Bejan numbers. It has been noticed that the production of entropy is highest at the surface of the elastic boundary. The temperature and entropy have increasing relation with the Eckert number and magnetic parameter. Further, an inverse relation is observed between the entropy generation and temperature difference parameter. The consequences of relevant parameters on the velocity, temperature, entropy and Bejan number are visually described and discussed.

Automated summary

This work presents a computational analysis of entropy generation minimization in a dissipative flow of viscous fluid. The highest production of entropy occurs at the surface of the elastic boundary. There is a positive correlation between temperature and entropy with the Eckert number and magnetic parameter.