**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32301

##### Linear Instability of Wake-Shear Layers in Two-Phase Shallow Flows

**Authors:**
Inta Volodko,
Valentina Koliskina

**Abstract:**

**Keywords:**
Linear stability,
Shallow flows,
Wake-shear flows.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1079656

**References:**

[1] V. H. Chu, J. H. Wu, and R. E. Khayat, "Stability of transverse shear flows in shallow open channels," Journal of Hydraulic Engineering, vol. 117, pp. 1370-1388, 1991.

[2] D. Chen, and G. H. Jirka, "Absolute and convective instabilities of plane turbulent wakes in a shallow water layer," Journal of Fluid Mechanics, vol. 338, pp. 157-172, 1997.

[3] A. A. Kolyshkin, and M. S. Ghidaoui, "Stability analysis of shallow wake flows," Journal of Fluid Mechanics, vol. 494, pp. 355-377, 2003.

[4] M. S. Ghidaoui, A. A. Kolyshkin, J. H. Liang, F. C. Chan, O. Li, and K. Xu, "Linear and nonlinear analysis of shallow wakes," Journal of Fluid Mechanics, vol. 548, pp. 309-340, 2006.

[5] D. Chen, and G. H. Jirka, "Experimental study of a plane turbulent wake in a shallow water layer," Fluid Dynamics Research, vol. 16, pp. 11-41, 1995.

[6] Y. Yang, J. N. Chung, T. R. Troutt, and C. T. Crowe, "The influence of particles on spatial stability of two-phase shallow mixing layers," Physics of Fluids, vol. A2(10), pp. 1839-1845, 1990.

[7] Y. Yang, J. N. Chung, T. R. Troutt, and C. T. Crowe, "The effect of particles on the stability of a two-phase wake flow," International Journal of Multiphase Flow, vol. 19, pp. 137-149, 1993.

[8] A. A. Dimas, and K. T. Kiger, "Linear instability of a particle-laden mixing layer with a dynamic dispersed phase," Physics of Fluids, vol. 10, pp. 2539-2557, 1998.

[9] F. Wen, and J. Evans, "Linear instability of a two-layer flow with differential particle loading," Physics of Fluids, vol. 6, pp. 3893- 3905, 1994.

[10] A. A. Kolyshkin, and S. Nazarovs, "Linear and weakly nonlinear analysis of two-phase shallow wake flows," WSEAS Transactions on Mathematics, vol. 6, issue 1, pp. 1-8, 2007.

[11] M. M. Koochesfahani, and C. E. Frieler, "Instability of non-uniform density free shear layers with a wake profile," AIAA paper No. 87- 0047, 1987.

[12] D. Wallace, and L. G. Redekopp, "Linear instability characteristics of wake-shear layers," Physics of Fluids, vol. A4, pp. 189-191, 1991.

[13] I. Volodko, and V. Koliskina, "Linear instability of wake-shear layers in shallow water", Proceedings of the 5th International WSEAS conference on environment, ecosystems and development, Tenerife, Spain, December 14 - 16, pp. 40 - 44, 2007.