ABSTRACT
The word capillary derives its origin from a Latin word capillaris, meaning to resemble a strand of hair. It is commonly used to refer to a very small tube as small as a hair. As the size of a system is reduced, its surface area to volume ratio increases. Capillarity or capillary action refers to the ability of transport of fluids into these capillaries with or without the aid of an external driving force. Interestingly, unlike macroscale transport, spontaneous transport of the fluids is possible by exploiting the surface forces in these reduced scales. If we consider the length scale as L, the surface force scales as L2, and the volumetric force scales as L3, for a microdevice with characteristic length scale L~O(10−6m), this ratio turns
CONTENTS
1.1 Introduction ....................................................................................................1 1.2 Foundation of the Reduced Order Model ..................................................3
