Pulsating laminar pipe flows with sinusoidal mass flux variations

Combined analytical and experimental investigation of sinusoidal mass flow-controlled, pulsating, laminar and fully developed pipe flow was carried out. The experimental investigation employed a mass flow control unit built at LSTM-Erlangen for the present investigation. For the analytical investigation, the equations describing such flows were normalized to allow for a general solution, depending only on the normalized amplitude mA* of the mass flow pulsation and the normalized frequency F. The analytical and experimental results are presented in this normalized way and it is shown that good agreement between the results of the authors is obtained. A diagram is presented for the condition of flow reversal in terms of the dimensionless frequency F and the mass flow rate amplitude mA*.

[1]  Eliezer Kit,et al.  Pulsating flow in a pipe , 1985, Journal of Fluid Mechanics.

[2]  M. Clamen,et al.  An experimental investigation of flow in an oscillating pipe , 1977, Journal of Fluid Mechanics.

[3]  F. Durst,et al.  Mass flow rate control system for time-dependent laminar and turbulent flow investigations , 2003 .

[4]  J. Womersley,et al.  An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries , 1957 .

[5]  Manabu Iguchi,et al.  Flow Pattern and Frictional Losses in Pulsating Pipe Flow : Part 6 Frictional Losses In a Laminar Flow , 1981 .

[6]  Mehmet Yasar Gundogdu,et al.  Present State of Art on Pulsatile Flow Theory. Part 2. Turbulent Flow Regime. , 1999 .

[7]  Theodor Sexl,et al.  Über den von E. G. Richardson entdeckten „Annulareffekt“ , 1930 .

[8]  R. Kamm,et al.  An investigation of transition to turbulence in bounded oscillatory Stokes flows Part 1. Experiments , 1991, Journal of Fluid Mechanics.

[9]  Jaywant H. Arakeri,et al.  Unsteady Laminar Duct Flow With a Given Volume Flow Rate Variation , 2000 .

[10]  T. Muto,et al.  Unsteady Flow in Circular Tube : Velocity Distribution of Pulsating Flow , 1980 .

[11]  P. Lambossy,et al.  Oscillations Forcees d'un Liquide Incompressible et Visqueux Dans un Tube Rigide et Horizontal, Calcul de la Force Frottement. , 1952 .

[12]  E. G. Richardson,et al.  The transverse velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is established , 1929 .

[13]  Munekazu OHMl,et al.  Pressure and Velocity Distributions in Pulsating Laminar Pipe Flow , 1976 .

[14]  M. Iguchi,et al.  Flow Pattern and Frictional Losses in Pulsating Pipe Flow : Part 5, Wall Shear Stress and Flow Pattern in a Laminar Flow , 1981 .

[15]  Eliezer Kit,et al.  On the impedance of the pipe in laminar and turbulent pulsating flows , 1985 .

[16]  W. H. Stevenson,et al.  Pulsating laminar flow measurements with a directionally sensitive laser velocimeter , 1971 .

[17]  Shigeo Uchida,et al.  The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe , 1956 .

[18]  J. Womersley.  Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known , 1955, The Journal of physiology.