Microchannel impedance for quasi Newtonian fluids with spatial modulated viscosity

Tatiana Tabares Medina

doi:10.1117/12.2014627

31 May 2013 Microchannel impedance for quasi Newtonian fluids with spatial modulated viscosity

Tatiana Tabares Medina

Proceedings Volume 8719, Smart Biomedical and Physiological Sensor Technology X; 87190F (2013) https://doi.org/10.1117/12.2014627
Event: SPIE Defense, Security, and Sensing, 2013, Baltimore, Maryland, United States

Abstract

Using the Navier-Stokes equation and assuming a viscosity radially modulated for a quasi-Newtonian fluid, we obtain the impedance of a fluid through microchannels and their corresponding electrical analogs. To solve the Navier-Stokes equation will use the Laplace transform, the Bromwich integral, the residue theorem and Bessel functions. This will give a formula for the impedance in terms of Bessel functions and from these equations to be constructed equivalent electrical circuits. These solutions correspond to the case of quasi-Newtonian fluid it is to say a fluid that does not stagnate in the channel wall as is the case if the fluid is Newtonian. The formulas obtained may have applications in the general theory of microfluidics and microscopic systems design for drug delivery.

Citation Download Citation

Tatiana Tabares Medina "Microchannel impedance for quasi Newtonian fluids with spatial modulated viscosity", Proc. SPIE 8719, Smart Biomedical and Physiological Sensor Technology X, 87190F (31 May 2013); https://doi.org/10.1117/12.2014627

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available