Modified Reynolds Equation for Steady Flow Through a Curved Pipe

Abstract A Reynolds equation governing the steady flow of a fluid through curvilinear, narrow tube, with its derivation from Navier–Stokes equations asymptotic methods is presented. The channel considered may have rather large curvature and torsion. Approximations velocity pressure inside are constructed by artificially imposing appropriate boundary conditions at inlet outlet. justification for approximations provided along comparison simpler case.