Flow in a Curved Pipe and Its Stability

Stability analysis of stratified two-phase liquid-gas flow in a horizontal pipe

This study aimed at linear stability analysis of the stratified two-phase liquid-gas flow in a horizontal pipe. First, equations governing the linear stability of flow in each phase and boundary conditions were obtained. The governing equations were eigenvalue Orr Sommerfeld equations which are difficult and stiff problems to solve. After obtaining the velocity profiles of the gas and liquid ph...

A Study of Flow and Mixing in Bubbly Gas-Liquid Pipe Flow Generated by a Grid

The spreading of a tracer in a bubbly two-phase grid-generated turbulent flow system is studied. In this work both particle image velocimetry (PIV) and planer laser-induced <span style="font-size: 10pt...

Stability analysis for two - phase pipe flow

Steady Flow in a Curved Pipe with Circular Cross-Section. Comparison of Numerical and Experimental Results

Numerical solution has been obtained of the equations of motion of a viscous incompressible fluid in a curved annular conduit with circular cross-section. These equations are approximated by finite-difference equations which are of the second-order accuracy with respect to the grid sizes. The computed results are presented for the range 96 D 8000 , where D is the Dean number of the flow and for...

Stability of flow through a slowly diverging pipe

Although the critical Reynolds number for linear instability of the laminar flow in a straight pipe is infinite, we show that it is finite for a divergent pipe, and approaches infinity as the inverse of the divergence angle. The velocity profile at the threshold of inviscid stability is obtained. A non-parallel analysis yields linear instability at surprisingly low Reynolds numbers, of about 15...