Boundary Layer Solution for Laminar Swirling Decay Pipe Flow

Abstract

In this study the hydraulic-thermal developing laminar swirling pipe flow is investigated numerically. Solution is based on the integral boundary layer method Uniform and solid body rotation distributions are considered for the axial and tangential velocities at the entry, respectively. Due to wall stress, viscous region is assumed to contain two boundary layers for axial and tangential velocities. Outside of the boundary layers’ edge the flow pattern is considered to remains uniform in axial direction and forced vortex in tangential direction. Inside boundary layers parabolic velocity and temperature profiles were considered for axi-symmetric flow pattern with uniform heat flux (UHF) condition on the pipe wall. Making use of the fourth-order Runge-Kutta scheme, the numerical solution of the governing differential equations is obtained. As an alternative solution, a CFD analysis based on the finite-volume method, has been done. Finally validity of the numerical results was checked with those obtained by CFD.