3D Finite Difference Formulation and Simulation of EHD Ion-Drag Model


  • Shakeel Ahmed Kamboh Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
  • Sakina Kamboh Department of nStatistics, University of Sindh, 76080, Jamshoro, Pakistan
  • Abbas Ghoto Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
  • Fozia Shaikh Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan;
  • Nawab ahmed Lecturer department of Natural Sciences , Begum Nusrat Bhutto Women University Sukkur, Pakistan
  • Kamran Nazir Memon Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan




This paper presents the simulation of electrohydrodynamically driven micropump obtained by using 3D finite difference method. EHD governing equations are discretized and then explicitly defined for output parameters. A 3D prototype of ion-drag micropump with symmetric electrodes is modeled and simulated for the velocity, the pressure, electric potential and electric field. The objective of this study was to evaluate the results obtained by finite difference method (FDM) with the results obtained by a finite element method (FEM) based
simulation package COMSOL Multiphysics. The comparison reveals that the numerical simulation results obtained by both the methods are appreciably close
to each other. The simulation results are also compared with the existing ex- perimental data and it was found that there are not high discrepancies between simulation and experimental results. The paper concludes that in case of regular geometries of ion-drag micropump the FDM is easy to implement and provides more control on different parameters involved in the simulation as compared to built-in finite element method based package.


Benetis, V., Shooshtari, A., Foroughi, P. and Ohadi, M. [2003], A source-integrated micropump for cooling of high heat flux electronics, in ‘Ninteenth Annual IEEE Semiconductor Thermal Measurement and Management Symposium, 2003.’, IEEE, pp. 236–241.

Chang, H.-C. and Yeo, L. [2010], Electrokinetically driven microfluidics and nanofluidics, Cambridge university press.

Chowdhury, S., Darabi, J., Ohadi, M. and Lawler, J. [2002], Chip integrated micro cooling system for high heat flux electronic cooling applications, in ‘Proc of the International Conf on Thermal Challenges in Next Generation Electronic Systems (THERMES 2002)’, pp. 85–93.

Darabi, J. and Ekula, K. [2003], ‘Development of a chip-integrated micro cooling device’, Microelectronics Journal 34(11), 1067–1074.

Darabi, J. and Rhodes, C. [2006], ‘Cfd modeling of an ion-drag micropump’, Sensors and Actuators A: Physical 127(1), 94–103.

Kamboh, S. A., Kalhoro, Z. A., Abro, K. A. and Labadin, J. [2017], ‘Simulating electrohydrodynamic iondrag pumping on distributed parallel computing systems’, Indian Journal of Science and Technology 10(24), 1–5.

Kamboh, S. A., Labadin, J. and Rigit, A. R. H. [2012], 3d modeling and simulation of electrohydrodynamic ion-drag micropump with different configurations of collector electrode, in ‘2012 1st International Conference on Artificial Intelligence, Modelling and Simulation’, IEEE, pp. 417–422.

Kamboh, S. A., Labadin, J. and Rigit, A. R. H. [2013], Computational modeling and simulation of ehd ion-drag pumping using finite difference method, in ‘2013 1st International Conference on Artificial Intelligence, Modelling and Simulation’, IEEE, pp. 207–211.

Kazemi, P. Z., Selvaganapathy, P. R. and Ching, C. Y. [2009], ‘Effect of electrode asymmetry on performance of electrohydrodynamic micropumps’, Journal of Microelectromechanical systems 18(3), 547– 554.

Khaskheli, M. A., Memon, K. N., Sheikh, A. H., Siddiqui, A. M. and Shah, S. F. [2020], ‘Tank drainage for an electrically conducting newtonian fluid with the use of the bessel function’, Eng. Technol. Appl. Sci. Res 10(2).

Lee, C., Robinson, A. and Ching, C. [2007], Development of ehd ion-drag micropump for microscale electronics cooling, in ‘2007 13th International Workshop on Thermal Investigation of ICs and Systems (THERMINIC)’, IEEE, pp. 48–53.

Memon, K. N., Alam, M. K., Baili, J., Nawaz, Z., Shiekh, A. H. and Ahmad, H. [2021], ‘Analytical solution of tank drainage flow for electrically conducting newtonian fluid’, Thermal Science 25(Spec. issue 2), 433–439.

Mohammed Hasnain, S., Bakshi, A., Ravi Selvaganapathy, P. and Ching, C. Y. [2011], ‘On the modeling and simulation of ion drag electrohydrodynamic micropumps’, Journal of fluids engineering 133(5).

Richardson, A. [1984], ‘Continuum electromechanics. by jr melcher mit press, 1981. 605 pp.£ 38.25.’, Journal of Fluid Mechanics 149, 502–503.

Rigit, A. R. and Chiong, M. [2011], Design an electrohydrodynamics micropump for microelectronics cooling, in ‘2010 Int. Conf. Biol. Environ. Chem’, Vol. 1.