A new method for solving a separated, fully developed laminar flow in inclined tubes with a curved interface is suggested. Apart from the solution that is available in the literature, where each configuration has a compatible solution with a conformal mapping to the bipolar or unipolar coordinates, this paper suggests a single solution that is automatically tailored for the whole range of the configurations of that flow with a Cartesian or Polar Coordinate system. This approach is not the conventional mathematical derivation of the N-S equations, but shows the analogy with an electrostatic field. It is superimposed by contributions of the Driving Force Densities (DFD) to the flow field and is more intuitive. Two types of driving forces are distributed: (i) The surface densities of driving forces are distributed on the cross section of the tube and serves mathematically as the inhomogeneous part of the Poisson equation, (ii) The unknown longitudinal induced density on the interface. Nature adds this DFD to satisfy the continuity of the tangential shear stresses. The unknown longitudinal density can be found by solving a Fredholm integral equation of the second kind, constituting the numerical part of our the solution. Simple solutions of the Poisson equation inside the tube lead us to "pay" for obeying the no-slip boundary condition on the wall (Dirichlet problem), and a harmonic function has to be added to compensate for unwanted values on the boundary. The superposition of contributions is the essence of the Green's function use. An exact coincidence with former literature is observed. (C) 2019 Elsevier Ltd. All rights reserved.