List of Figures

1.1 Number of papers and patents published in the field of microfluidics since 1990 5

2.1 The function f (x) = x2 12

3.1 A barrier lake 22

3.2 Graphical representation of differentials and derivatives 26

3.3 Boundary conditions and initial values 30

3.4 Important trigonometric functions 31

3.5 The right triangle 33

3.6 Bessel functions of first kind 36

3.7 Gamma function Γ (x) 38

3.8 Bessel functions of second kind 38

3.9 Approximation of the delta function 41

3.10 Soluble solid as an example for a delta function 41

3.11 Fourier series of the delta function 42

3.12 Shifted delta function 42

3.13 Fourier series of a two-dimensional delta function 44

3.14 Soluble solid as an example for a Heaviside function 45

3.15 Fourier series ...

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