A lie symmetry approach for a non-linear ordinary differential equation arising in engineering sciences

A non-linear second order ODE has some applications in engineering problems. In physics, it arises the modeling of flux a heated compressible fluid through long slender tube. this paper, we consider differential equation whose analytic solution cannot be obtained directly. Therefore, first find canonical transformations to rewrite terms variables by using Lie symmetry approach. We then reduce equation, which is type Abel one defining new variable.