Temperature Distributions in a Parallel Flat Plate Microchannel with Electroosmotic and Magnetohydrodynamic Micropumps

In this work, the steady heat transfer process to find the temperature distribution through of a viscoelastic fluid flow in a parallel flat plate microchannel was solved. The fluid flow is based in a combination of electroosmotic and magnetohydrodynamic driven forces. A fully-developed flow is considered and the fluid obeys a constitutive relation based in a simplified Phan-Thien-Tanner model. The non-dimensional fluid flow model is expanded in a regular expansion series in powers of small Hartmann numbers. The effect of certain non-dimensional parameters on the fluid flow is predicted and we report advantages in the simultaneous application of electroosmotic and magnetohydrodynamic forces due to significant increase in the flow rate and by the diminishing of the unnecessary Joule heating in microfluidic devices. Therefore, by employed low magnetic fields with low electrical conductivities in the buffer solution, is possible that the electric and magnetic effects can be used to move a charged solution in the flow control and sample handling in biomedical and chemical analysis.