This work deals with the flow in the scale of the drops and the Rheology of diluted emulsions. Analytic and numerical techniques are employed in order to solve the problem. In the drop neighborhoods the flow may be considered as free of inertia effects and consequently governed by Stokes equations. In the literature this limit is known as Microhydrodynamics. The flow field and the stress tensor on the drop surface are calculated. A spatial mean process was taken, in a representative suspension volume, in order to study the emulsion as an homogeneous and continuous fluid. Asymptotic methods based in small drop deformation approximation are used to produce first and second orders theories which the parameter is the viscosity ratio. An extension of these theories for polydisperse diluted emulsion is developed. A quasi-linear viscoelasticity theory is constructed for diluted emulsion of high viscosity ratios in oscillatory shear flows. In the regimes of large deformations, the velocity and the stress on the particles are evaluated by a numerical procedure based on the Boundary Integral Method for deformable drops. The theoretical and numerical aspects of the Boundary Integral Method are described in details. The code is validated by comparison the numerical results with the experimental data presented in the literature, and also by comparison with the theoretical results of small deformation. The emulsion rheology is studied in simple shear, oscillatory shear, extensional and also in pressure driven flows. The numerical results are used to determine material constants of the stress theory of the second order. Non linear flow regimes of moderate viscosity ratios in simple shear, oscillatory shear and pressure driven flows are also studied.