Analysis of developing laminar flows in circular pipes using a higherorder finitedifference technique
Abstract
A higherorder finitedifference technique is developed to calculate the developingflow field of steady incompressible laminar flows in the entrance regions of circular pipes. NavierStokes equations governing the motion of such a flow field are solved by using this new finitedifference scheme. This new technique can increase the accuracy of the finitedifference approximation, while also providing the option of using unevenly spaced clustered nodes for computation such that relatively fine grids can be adopted for regions with large velocity gradients. The velocity profile at the entrance of the pipe is assumed to be uniform for the computation. The velocity distribution and the surface pressure drop of the developing flow then are calculated and compared to existing experimental measurements reported in the literature. Computational results obtained are found to be in good agreement with existing experimental correlations and therefore, the reliability of the new technique has been successfully tested.
 Publication:

6th Annual Thermal and Fluids Analysis Workshop
 Pub Date:
 January 1995
 Bibcode:
 1995tfla.work..107G
 Keywords:

 Computational Grids;
 Finite Difference Theory;
 Fluid Flow;
 Laminar Flow;
 Pipe Flow;
 Pressure Distribution;
 Velocity Distribution;
 Flow Distribution;
 Incompressible Flow;
 Incompressible Fluids;
 Momentum;
 NavierStokes Equation;
 Pressure Gradients;
 Fluid Mechanics and Heat Transfer