Abstract
A comprehensive non-isothermal Lattice Boltzmann (LB) algorithm is proposed in this article to simulate the thermofluidic transport phenomena encountered in a direct-current (DC) magnetohydrodynamic (MHD) micropump. Inside the pump, an electrically conducting fluid is transported through the microchannel by the action of an electromagnetic Lorentz force evolved out as a consequence of the interaction between applied electric and magnetic fields. The fluid flow and thermal characteristics of the MHD micropump depend on several factors such as the channel geometry, electromagnetic field strength and electrical property of the conducting fluid. An involved analysis is carried out following the LB technique to understand the significant influences of the aforementioned controlling parameters on the overall transport phenomena. In the LB framework, the hydrodynamics is simulated by a distribution function, which obeys a single scalar kinetic equation associated with an externally imposed electromagnetic force field. The thermal history is monitored by a separate temperature distribution function through another scalar kinetic equation incorporating the Joule heating effect. Agreement with analytical, experimental and other available numerical results is found to be quantitative.
Similar content being viewed by others
References
M. Abdullah, H. Duwairi, Microsyst. Technol. 14, 1117 (2008)
H.H. Bau, J. Zhong, M. Yi, Sens. Actuators B 79, 207 (2001)
H.H. Bau, J. Zhu, S. Qian, Y. Xiang, Sens. Actuators B 88, 205 (2003)
S. Chakraborty, D. Chatterjee, J. Fluid Mech. 592, 155 (2007)
S. Chakraborty, D. Paul, J. Phys. D Appl. Phys. 39, 5364 (2006)
D. Chatterjee, Europhys. Lett. 86, 14004 (2009)
D. Chatterjee, S. Amiroudine, Phys. Rev. E 81, 066703 (2010)
D. Chatterjee, S. Chakraborty, Phys. Lett. A 351, 359 (2006)
J. Darabi, C. Rhodes, Sens. Actuators A 127, 94 (2006)
H. Duwairi, M. Abdullah, Microsyst. Technol. 13, 33 (2007)
J. Eijkel, C. Dalton, C. Hayden, J. Burt, A. Manz, Sens. Actuators 92, 215 (2003)
Z. Guo, C. Zheng, B. Shi, Phys. Fluids 14, 2007 (2002)
Z. Guo, T. Zhao, Y. Shi, J. Chem. Phys. 122, 144907 (2005)
X. He, S. Chen, G.D. Doolen, J. Comput. Phys. 146, 282 (1998)
G. Hetsroni, A. Mosyak, E. Pogrebnyak, Z. Segal, Int. J. Heat Mass Transfer 52, 3963 (2009)
D. Hlushkou, D. Kandhai, U. Tallarek, Int. J. Numer. Methods Fluids 46, 507 (2004)
J. Ho, J. Mar, Sci. Technol. 15, 315 (2007)
A. Homsy, S. Koster, J.C.T. Eijkel, A. van den Berg, F. Lucklum, E. Verpoortec, N.F. de Rooij, Lab Chip 5, 466 (2005)
A. Homsy, V. Linder, F. Lucklum, N.F. de Rooij, Sens. Actuators B 123, 636 (2007)
J. Jang, S. Lee, Sens. Actuators A 80, 84 (2000)
H. Kabbani, A. Wang, X. Luo, S. Qian, Phys. Fluids 19, 083604 (2007)
H.S. Kabbani, M.J. Mack, S.W. Joo, S. Qian, J. Fluids Eng. 130, 091204 (2008)
D.J. Laser, J.G. Santiago, J. Micromech. Microeng. 14, R35 (2004)
A. Lemoff, A. Lee, Sens. Actuators B 63, 178 (2000)
A. Lemoff, A. Lee, Biomed. Microdevices 5, 155 (2003)
A. Lemoff, A. Lee, R. Miles, C. McConaghy, Int. Conf. on Solid-State Sensors and Actuators (Transducers ’99) 1126 (1999).
B. Li, D.Y. Kwok, J. Colloid Interface Sci. 263, 144 (2003)
B. Li, D.Y. Kwok, J. Chem. Phys. 120, 947 (2004)
C. Lim, C. Shu, X. Niu, Y. Chew, Phys. Fluids 14, 2299 (2002)
X. Nie, G.D. Boolen, S. Chen, J. Stat. Phys. 107, 279 (2002)
X. Niu, C. Shu, Y. Chew, Europhys. Lett. 67, 600 (2004)
V. Patel, S.K. Kassegne, Sens. Actuators B 122, 42 (2007)
S. Qian, H.H. Bau, Phys. Fluids 17, 067105 (2005a)
S. Qian, H.H. Bau, Sens. Actuators B 106, 859 (2005b)
S. Qian, H.H. Bau, Mech. Res. Commun. 36, 10 (2009)
S. Qian, J. Zhu, H.H. Bau, Phys. Fluids 14, 3584 (2002)
Y. Shi, T.S. Zhao, Z.L. Guo, Phys. Rev. E 70, 066310 (2004)
J.D. Sterling, S. Chen, J. Comput. Phys. 123, 196 (1996)
S. Succi, The lattice Boltzmann equation for fluid dynamics and beyond. (Oxford University Press, 2001).
M. Wang, Q. Kang, J. Comput. Phys. 229, 728 (2010)
P.J. Wang, C.Y. Chang, M.L. Chang, Biosens. Bioelectron. 20, 115 (2004)
J. Wang, M. Wang, Z. Li, J. Colloid Interface Sci. 296, 729 (2006)
M.C. Weston, M.D. Gerner, I. Fritsch, Anal. Chem. 82, 3411 (2010)
M. Yi, S. Qian, H.H. Bau, J. Fluid Mech. 468, 153 (2002)
J. Zhang, Microfluid. Nanofluid. (2010). doi:10.1007/s10404-010-0624-1
J. Zhong, M. Yi, H.H. Bau, Sens. Actuators A 96, 59 (2000)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chatterjee, D., Amiroudine, S. Lattice Boltzmann simulation of thermofluidic transport phenomena in a DC magnetohydrodynamic (MHD) micropump. Biomed Microdevices 13, 147–157 (2011). https://doi.org/10.1007/s10544-010-9480-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10544-010-9480-8