Modeling of Fluid Flow in 2D Triangular, Sinusoidal, and Square Corrugated Channels

The main focus of the work was concerned with hydrodynamic and thermal analysis of the plate heat exchanger channel with corrugation patterns suggested to be triangular, sinusoidal, and square corrugation. This study was to numerically model and validate the triangular corrugated channel with dimensions/parameters taken from open literature, and then model/analyze both sinusoidal, and square corrugated channel referred to the triangular model. Initially, 2D modeling with local extensive analysis for triangular corrugated channel was carried out. By that, all local pressure drop, wall shear stress, friction factor, static temperature, heat flux, Nusselt number, and surface heat coefficient, were analyzed to interpret the hydrodynamic and thermal phenomena occurred in the flow. Furthermore, in order to facilitate confidence in this model, a comparison between the values predicted, and experimental results taken from literature for almost the same case, was done. Moreover, a holistic numerical study for sinusoidal and square channels together with global comparisons with triangular corrugation under the same condition, were handled. Later, a comparison between electric, and fluid cooling through varying the boundary condition was achieved. The constant wall temperature and constant wall heat flux boundary conditions were employed, and the different resulted Nusselt numbers as a consequence were justified. The results obtained can be used to come up with an optimal design, a 'compromise' between heat transfer and pressure drop.





References:
[1] Kanaris, A., G., Mouza, A., A., and Paras, S., V. (2009)- Optimal design
of a plate heat exchanger with undulated surfaces-, Chemical
Engineering Research and Design, 83(5), pp. 1184-1195. Science Direct
(Online). Available at: www.siencedirect.com.
[2] Kanaris, A., G., Mouza, A., A., and Paras, S., V. (2005)- Flow and Heat
Transfer in Narrow Channels with Corrugated Walls: A CFD Code
Application-, Chemical Engineering Research and Design, 83(5), pp.
460-468. Science Direct (Online). Available at: www.siencedirect.com.
[3] Kanaris, A., G., Athanasios, G., Mouza, A., A., Aikaterini, A., Paras, S.,
V., Spiros V. (2006)- Flow and heat transfer prediction in a corrugated
plate heat exchanger using a CFD code-, Chemical Engineering and
Technology, 29(8), pp. 923-930. Compedex (Online). Available at:
www.interscience.wiley.com.
[4] Yasar, I., and Cem, P. (2003)- The effect of channel height on the
enhanced heat transfer characteristics in a corrugated heat exchanger
channel-, Applied Thermal Engineering, 23(8), pp. 979-987. Science
Direct (Online). Available at: www.siencedirect.com.
[5] Choi, J. M. and. Anand, N. K. (1995)- Turbulent heat transfer in a
serpentine channel with a series of right-angle turns-, International
Journal of Heat and Mass Transfer, 38(7), pp. 1225-1236. Science
Direct (Online). Available at: www.siencedirect.com.
[6] Wang, G., and Vanka, S. P. (1995)- Convective heat transfer in periodic
wavy passages-, International Journal of Heat and Mass Transfer,
38(17), pp. 3219-3230. Science Direct (Online). Available at:
www.siencedirect.com.
[7] Sawyersa, D. R., Sen, M., Hsueh, and Chang (1998)- Heat transfer
enhancement in three-dimensional corrugated channel flow-,
International Journal of Heat and Mass Transfer, 41(22), pp. 3559-
3573. Science Direct (Online). Available at: www.siencedirect.com.
[8] Nishimura, T., Matsune, S. (1998)- Vortices and wall shear stresses in
asymmetric and symmetric channels with sinusoidal wavy walls for
pulsatile flow at low Reynolds numbers-, International Journal of Heat
and Fluid Flow, 19(6), pp. 583-593. Science Direct (Online). Available
at: www.siencedirect.com.
[9] Gao, WF; Lin, WX; Lu, and ER. (2000)- Numerical study on natural
convection inside the channel between the flat-plate cover and sine-wave
absorber of a cross-corrugated solar air heater-, Energy Conservation
Management, 41(2), pp. 145-151. Science Direct (Online). Available at:
www.siencedirect.com.
[10] Mehrabian, M. A., Poulter, R. (2000)- Hydrodynamics and thermal
characteristics of corrugated channels: Computational approach-,
Applied Mathematical Modelling, 24(5-6), pp. 343-364. Compendex
(Online). Available at: www.siencedirect.com.
[11] Nieno, B., and Nobile, E. (2001)- Numerical analysis of fluid flow and
heat transfer in periodic wavy channels-, International Journal of Heat
and Fluid Flow, 22(2), pp. 156-167. Science Direct (Online). Available
at: www.siencedirect.com.
[12] Zimmerer, C., Gschwind, P., Gaiser, G., and Kottke, V. (2002)-
Comparison of heat and mass transfer in different heat exchanger
geometries with corrugated walls-, Experimental Thermal and Fluid
Science, 26(2-4), pp. 269-273. Science Direct (Online). Available at:
www.siencedirect.com.
[13] Hossain, M. Z., Islam, A.K.M., and Sadrul (2004)- fully developed flow
structures and heat transfer in sine-shaped wavy channels-, International
Communications in Heat and Mass Transfer, 31(6), pp. 887-896.
Compendex (Online). Available at: www.siencedirect.com.
[14] Zhang, J., Kundu, J., and Manglik, R. M. (2004)- Effect of fin waviness
and spacing on the lateral vortex structure and laminar heat transfer in
wavy-plate-fin cores-, International Journal of Heat and Mass Transfer,
47(8-9), pp. 1719-1730. Science Direct (Online). Available at:
www.siencedirect.com.
[15] Metwally, H. M. and Manglik, R. M. (2004)- Enhanced heat transfer due
to curvature-induced lateral vortices in laminar flows in sinusoidal
corrugated-plate channels-, International Journal of Heat and Mass
Transfer, 47(10-11), pp. 2283-2292. Science Direct (Online). Available
at: www.siencedirect.com.
[16] Manglik, R. M., Zhang, J., and Muley, A. (2005)- Low Reynolds
number forced convection in three-dimensional wavy-plate-fin compact
channels: Fin density effects-, International Journal of Heat and Mass
Transfer, 48(8), pp. 1439-1449. Science Direct (Online). Available at:
www.siencedirect.com.
[17] Nathan, R., Rosaguti, David, F., Fletcher and Brian, S. H, (2007)- Low-
Reynolds number heat transfer enhancement in sinusoidal channels-,
Chemical Engineering Science, 62(3), pp. 694-702. Science Direct
(Online). Available at: www.siencedirect.com.
[18] Tao, Y. B., He, Y. L., Huang, J., Wu, Z. G., and Tao, W. Q. (2007)-
Three-dimensional numerical study of wavy fin-and-tube heat
exchangers and field synergy principle analysis-, International Journal
of Heat and Mass Transfer, 50(5-6), pp. 1163-1175. Science Direct
(Online). Available at: www.siencedirect.com.
[19] Ko, T. H. (2007)- A numerical study on developing laminar forced
convection and entropy generation in half- and double-sine ducts-,
International Journal of Thermal Sciences, 46(12), pp. 1275-1284.
Compendex (Online). Available at: www.siencedirect.com.
[20] Pham, M. V., Plourde, F., and Doan, S. K. (2008)- Turbulent heat and
mass transfer in sinusoidal wavy channels-, International Journal of
Heat and Fluid Flow, 29(5), pp. 1240-1257. Science Direct (Online).
Available at: www.siencedirect.com.
[21] Ismail, S. L., Ranganayakulu, C., and Ramesh K. S. (2009)- Numerical
study of flow patterns of compact plate-fin heat exchangers and
generation of design data for offset and wavy fins-, International
Journal of Heat and Mass Transfer, 52(17-18), pp. 3972-3983. Science
Direct (Online). Available at: www.siencedirect.com.
[22] Kays, W, and London, A., L. (1964) compact heat exchangers. 2nd edn.
New Youk: McGraw-Hill.
[23] Heggs, J., Sandham, P., Hallam, R. A., and Walton, C. (1997)- Local
Transfer Coefficients in Corrugated Plate Heat Exchanger Channels-,
Chemical Engineering Research and Design, 75(7), pp. 641-645.
Science Direct (Online). Available at: www.siencedirect.com.
[24] Drosos, E. I. P., Mouza, A. A., Paras, s. V., and Karabelas, A. J. (2002)
E.K.E.T.A.. Available at: http://library.certh.gr/libfiles/PDF/AIK-
CPERI-1ST-WRKSP-Y2002-PP39-42.pdf.
[25] Vlasogiannis, P., Karagiannis, G., Argyropoulos, P., and Bontozoglou,
V. (2002) citeULike. Available at:
http://www.citeulike.org/user/Francke/article/4631512.
[26] Lioumbas, I.S., Mouza, A.A.; Paras, S.V (2002)- Local velocities inside
the gas phase during counter-current two-phase flow in a narrow vertical
channel-, Chemical Engineering Research and Design, 80(6), pp. 667-
673. Compendex (Online). Available at: www.siencedirect.com.
[27] Versteeg, H, K. (1995) an introduction to computational fluid dynamics:
the finite volume method. Harlow: Longman.
[28] Naphon, P., and Kornkumjayrit, k. (2008)- Numerical analysis on the
fluid flow and heat transfer in the channel with V-shaped wavy lower
plate-, International Communications in Heat and Mass Transfer, 35(7),
pp. 839-843. Science Direct (Online). Available at:
www.siencedirect.com.
[29] Fernndez, J. A., Elicer-Corts, J. C., Valencia, A., Pavageau, M., and
Gupta, S. (2007)- Comparison of low-cost two-equation turbulence
models for prediction flow dynamics in twin-jets devices-, International
Communications in Heat and Mass Transfer, 34(5), pp. 570-578.
Science Direct (Online). Available at: www.siencedirect.com.
[30] Shah, R. K. (1978) Laminar flow for forced convection in ducts: a
source book compact heat exchanger analytical data. London:
Academic press.
[31] Holman, J. P. (1992) Heat Transfer. 7th edn. London: McGraw-Hill.
[32] Aishuang, X., and Songlin, X. U. (2005) SpringerLink. Available at:
http://www.springerlink.com/home/main.mpx.
[33] Guo1, H. F., Chen, Z. Y., Yu, C. W. (2008) Institute of Physics.
Available at: http://www.iop.org/.
[34] Zhipeng, L., and Zhengming, G., (2008) International Symposium on
Mixing in Industrial Processes VI. Available at:
http://www.ismip6.polymtl.ca/docs/5-11.pdf.
[35] Mangesh, K., and Yavuzkurt, S. (2009) International centre for heat and
mass transfer. Available at: http://www.ichmt.org/turbine-
09/images/abstracts/11.pdf.
[36] Martin, H. (1996)- A theoretical approach to predict the performance of
chevron-type plate heat exchangers-, Chemical Engineering and
Processing, 35(4), 301-310. Science Direct (Online). Available at:
www.siencedirect.com.
[37] Liengme, B. V. (2002) guide to Microsoft Excel 2002 for scientists and
engineers. 3rd end. Oxford: Butterworth-Heinemann
[38] Darabi, J., Ohadi, M. M., Fanni, M. A., Dessiatoun, S. V., Kedzierski,
M. A. (1999) Fire on the Web. Available at:
http://www.fire.nist.gov/bfrlpubs/build99/PDF/b99054.pdf.