Four approaches to hydrodynamic Green's functions - the Oseen tensors
Prepared for Microworld Hydrodynamics course with Maria Ekiel - Jeżewska.
Four ways of deriving the flow field generated by a force concentrated in one point in low Reynolsd number flow regime are presented, basing on the books by Zapryanov & Tabakova, Kim & Karilla, Dhont and Pozrikidis. We find a fundamental solution of Stokes equations for infinite fluid which can be used to construct solutions with more complex forces. [pdf], also available at ArXiV: preprint no. 1312.6231
Stokes flow generated by a point force in various geometries. I. Pressure field
Materials made for Microhydrodynamics course with Maria Ekiel - Jeżewska.
Fundamental pressure solutions of Stokes equations in presence of a free boudary or rigid wall are constructed using the method of images. The subsequent steps of the construction are presented. [pdf]
Fresnel and Fraunhofer Diffraction - a lecture experiment
Patterns presenting a dynamic transition between Fresnel and Fraunhofer diffraction patterns using a moving diverging lens. See the photographs and the preprint of our paper here:
Fresnel and Fraunhofer diffraction patterns
Byłem, widziałem: Lofoty, relacja z wyprawy do Norwegii w magazynie NPM, nr 4, 2011 [pdf]