**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30827

##### Localized and Time-Resolved Velocity Measurements of Pulsatile Flow in a Rectangular Channel

**Authors:**
R. Blythman,
N. Jeffers,
T. Persoons,
D. B. Murray

**Abstract:**

**Keywords:**
Heat Transfer Enhancement,
localized and time-resolved velocity,
pulsating ﬂow,
Richardson’s annular effect,
particle image
velocimetry,
photonics
and electronics cooling

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1338814

**References:**

[1] J. Brodkin, “Bandwidth explosion: As internet use soars, can bottlenecks be averted.” Arstechnica, May 1, 2012. (Online). Available: http://arstechnica.com/business/2012/05/bandwidth-explosion-as-internetuse- soars-can-bottlenecks-be-averted/. (Accessed: 2015-11-21).

[2] N. Jeffers, J. Stafford, K. Nolan, B. Donnelly, R. Enright, J. Punch, A. Waddell, L. Erlich, J. O’Connor, A. Sexton, R. Blythman, and D. Hernon, “Microfluidic cooling of photonic integrated circuits (PICs),” in Fourth European Conference on Microfluidics, Limerick, Ireland, 2014.

[3] S. Kandlikar, “Heat transfer mechanisms during flow boiling in microchannels,” in ASME 2003 1st International Conference on Microchannels and Minichannels, pp. 33–46, American Society of Mechanical Engineers, 2003.

[4] T. Persoons, T. Saenen, T. Van Oevelen, and M. Baelmans, “Effect of flow pulsation on the heat transfer performance of a minichannel heat sink,” Journal of Heat Transfer, vol. 134, no. 9, p. 091702, 2012.

[5] G. Stokes, On the effect of the internal friction of fluids on the motion of pendulums, vol. 9. Pitt Press, 1851.

[6] J. Womersley, “Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known,” The Journal of Physiology, vol. 127, no. 3, pp. 553–563, 1955.

[7] E. Richardson and E. Tyler, “The transverse velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is established,” Proceedings of the Physical Society, vol. 42, no. 1, p. 1, 1929.

[8] T. Sexl, “U¨ ber den von E.G. Richardson entdeckten annulareffekt ,” Zeitschrift f¨ur Physik, vol. 61, no. 5-6, pp. 349–362, 1930.

[9] S. Uchida, “The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe,” Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, vol. 7, no. 5, pp. 403–422, 1956.

[10] H. Ito, “Theory of laminar flow through a pipe with non-steady pressure gradients,” Proceedings of the Institute of High Speed Mechanics, p. 163, 1953.

[11] C. Fan and B. Chao, “Unsteady, laminar, incompressible flow through rectangular ducts,” Zeitschrift f¨ur angewandte Mathematik und Physik ZAMP, vol. 16, no. 3, pp. 351–360, 1965.

[12] E. Denison, W. Stevenson, and R. Fox, “Pulsating laminar flow measurements with a directionally sensitive laser velocimeter,” AIChE Journal, vol. 17, no. 4, pp. 781–787, 1971.

[13] J. Harris, G. Peev, and W. Wilkinson, “Velocity profiles in laminar oscillatory flow in tubes,” Journal of Physics E: Scientific Instruments, vol. 2, no. 11, p. 913, 1969.

[14] T. Muto and K. Nakane, “Unsteady flow in circular tube: Velocity distribution of pulsating flow,” Bulletin of JSME, vol. 23, no. 186, pp. 1990–1996, 1980.

[15] D. Eckmann and J. Grotberg, “Experiments on transition to turbulence in oscillatory pipe flow,” Journal of Fluid Mechanics, vol. 222, pp. 329–350, 1991.

[16] M. Spiga and G. Morino, “A symmetric solution for velocity profile in laminar flow through rectangular ducts,” International Communications in Heat and Mass Transfer, vol. 21, no. 4, pp. 469–475, 1994.