Abstract
This paper examined the role of suction/injection on time-dependent electromagnetohydrodynamics (EMHD) natural (free) convection flow in a vertical microchannel with electroosmotic effect. With the aid of Laplace transformation method, the governing energy and momentum equations are converted from partial differential equation (PDE) into ordinary differential equation (ODE) to obtain fluid temperature and velocity in Laplace domain. The semi-analytical solutions of the velocity profile and temperature distribution have been derived using the Riemann sum approximation. After which a MATLAB program was written to study the effects of Prandlt number Pr, Hartmann number Ha, electric field strength on x and z directions (Ex and Sz) and Grashof number Gr in fluid velocity, temperature, skin-friction and mass flow rate in terms of line graphs. Result shows the role of suction/injection parameter alters the temperature distribution and velocity profile, so also how effective the governing parameters contribute to the flow formation. .
Publisher
University of Zielona Góra, Poland
Subject
Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering
Reference49 articles.
1. Cramer K.R. and Pai S.I. (1973): Magnetofluid Dynamics for Engineers and Applied Physicists.– McGraw-Hill Book Company, vol.5, No.17.
2. Jang J. and Lee S.S. (2000): Theoretical and experimental study of MHD (magnetohydrodynamics) micropump.– Elsavier, vol.80, No.1, pp.84-89.
3. Davidson P.A (2001): An Introduction to Magnetohydrodynamics.– Cambridge U. Press., vol.70, No.7, pp.431.
4. Li D. (2008): Encyclopedia of Microfluidics and Nanofluidics.– Springer.
5. Mitra S., Maity S., Sutradhar S. and Bandyopadhyay D. (2020): Electroosmosis with augmented mixing in rigid to flexible microchannels with surface pattern.– Ind. Eng. Chem., vol.59, No.9, pp.3717-3792.