Microfluidics for Biologists Fundamentals and Applications

If the microfluidic channel is too long, there might be a huge pressure drop along the length, say 20 %. Then the density of the ...

h ¼ 2 σCosΘ=ρgr ð 1 : 17 Þ where,Θis the contact angle,σis surface tension,ρis density of the liquid, and r is the radius of the ...

designing an efficient pump because it requires a precise knowledge of the surface wettability, wetting phase and non-wetting ph ...

AinAout¼Asystem ð 1 : 21 Þ Expression (1.21) stands true only if the extensive properties participating in conservation laws ar ...

Fx ¼FgþFp þFtþFc ð 1 : 26 Þ Conservation of Mass It can be summarized as a time-dependent mass change over a defined fluid bound ...

Now, by replacing (1.31) and (1.33)in(1.30), we will have the mass conserva- tion equation for fluids ∂=∂t ð v ρ:∂V  ¼ ð s ρ: ...

ΔE¼constant ð 1 : 40 Þ The simplest example of energy conservation is Bernoulli’s equation where fluid flowing through a pipe ha ...

Applications of Stokes Law Hydrodynamic separation of cells Viscous force calculation Calculating shear on cells This is impor ...

For circular channelsthe relation is expressed as R¼ðP 1 P 2 Þ=Q¼ΔP=Q¼ 8 ηl=Πr^4 ð 1 : 51 Þ The (1.51) can be written as ΔP¼RQ¼ ...

Volumetric flow rate can be expressed in terms of mass flow rate with the relation Q ¼Im=ρ ð 1 : 56 Þ Replacing (1.56)in(1.55) g ...

Pressure loss form: ΔP ¼τA=A’ ð 1 : 64 Þ where, A is wall areaðÞ¼ 2 Πrl and A’is cross-sectional flow areaðÞ¼Πr^2 ,ris radius of ...

U is linear velocity of the liquid plug in the channel/particle (velocity relative to the rotation speed), andωis angular veloci ...

channel geometry, and fluid properties, such as dynamic viscosity (η) and density (ρ). This linear velocity component is given a ...

where, Rois Rossby number, U is the relative velocity of the particle,fcis Coriolis factor, and L is the length scale of the mot ...

Now, the liquid during this time from (1.81) will lose a fraction of its linear momentum density, which can be given as piρU 0 ...

of coffee; in this case we will not be able to smell the aroma of coffee held in our hands for next several days. If real world ...

D diffusion coefficientðÞ¼w^2 ðÞwidth to diffuse=2tdiffðÞðtime to diffuse 1 : 85 Þ The time to diffuse is dependent on the parti ...

dating back to high school physics. In this chapter, we have brushed all those concepts we studied back then and added some adva ...

Recommended Books and Lecture Notes Bansal RK (2010) A textbook of fluid mechanics and hydraulic machines. Laxmi Publications, ...

Chapter 2 Microfluidics Overview Geeta Bhatt, Sanjay Kumar, Poonam Sundriyal, Pulak Bhushan, Aviru Basu, Jitendra Singh, and Sha ...