The aim of this article is to analyze the impacts of Eckert, surface temperature and heat flux on two boundary layer flow of non-linear convection flow of micro-polar fluid past non-isothermal cylinder. The mathematical modeling for the flow problem has been created with suitable similarity transformation and dimensionless variable. The main nonlinear boundary value problems were reduced into mixed high order non-linear ordinary differential equations. The equations were solved using the method bvp4c from matlab software for numerous quantities of main constraints. The impacts of constraints on velocities, surface temperature and heat flux are examined and displayed through the graphs and tables. The convergence test has been maintained; for number of spots greater than apposite mesh number of spots, the precision is not affected. Moreover, a comparison with previous paper reachable in the literature has been reported and an excellent agreement is obtained. The acquiring shows that enhancing in the values of surface temperature and heat flux constraints (F, H) is to improve thermal diffusion that improve temperature distributions q(h);h(h).