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The principle aim is to investigate the micro-inertia for vertex viscosity effects that were utilized about design to act on heat energy. Heat transfer was imposed out that unsteady distributed stagnation point flow by micro-polar fluid. That define the energy equation, Cattaneo-Christov heat flux figure was used for formal Fourier's law. Effects on exponential space-dependent heat source and linear thermal radiation were more comprise on the interpreted model. Numerical technique finite element method was occupied about the results to ordinary differential equations that were acquired against governing partial differential equations below the convenient equal transformations. This flow reach toward the departure domain displayed the absorbed flow aspect and opposite flow aspect susceptible on that physical parameters elaborate into the analysis. In view of acquired results, we observed that thermal profile downturn about extra sizably higher values of relaxation time, during increase into increasing radiation factor. An increase in vertex viscosity increases angular motion. Moreover, space-dependent heat digestion is extra applicable about cooling process. That more, the acceptance of current results was entire as growing analogy into actual circulated work.

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