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The current paper explores the steady-state heat transfer and thermal stress analysis of a hyperbolic annular fin with temperature dependent thermal conductivity. The framed equations are articulated in terms of non-linear ordinary differential equations. The domination of non-dimensional parameters on the thermal gradient of the fin has been analysed graphically by using Runge-Kutta Fehlberg fourth-fifth order (RKF-45) process and DTM-Pade approximant. Here, differential transformation method (DTM)-Pade approximant has been implemented to find the analytical solution for the non-linear ordinary differential equations. The RKF-45 method is used to obtain numerical outcomes for different non-dimensional parameters. Further, the obtained numerical results are compared with the results achieved from DTM-Pade approximant solution. This relation demonstrates that numerical outcome obtained by DTM-Pade approximant are nearer to that of numerical results. Outcome results exposes that, the escalating values of thermal conductivity parameter upsurges the thermal distribution. The growing values of the radius ratio elevate the thermal distribution in the fin. Further, the radial stress and tangential stress distribution varies for larger values of dimensionless parameters. NomenclatureREVISED

The present study deals with the Blasius and Sakiadis flow of Casson hybrid nanoliquid over a vertically moving plate under the influence of magnetic effect and Joule heating. Here, we considered Silver and Copper as nanoparticles suspended in 50% Ethylene-Glycol (EG) as base fluid. Further, the Arrhenius activation energy and convective boundary conditions are taken into the account. The set of PDEs of the current model are converted into ODEs by using suitable similarity variables. The reduced ODEs are numerically solved with the help of RKF-45 method by adopting shooting scheme. The impact of various pertinent parameters on the fluid fields is deliberated graphically. The result outcomes reveal that, rise in values of Casson parameter diminishes the velocity gradient. The escalated values of magnetic parameter decline the velocity profile but reverse trend is detected in thermal and concentration profiles. Moreover, the augmentation in the activation energy parameter elevates the concentration profile.

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