Sphere moving through viscous flow

Link to Playlist of Fluid video series: https://youtube.com/playlist?list=PLgNi5MiqkBWZWEFieZ7SmdoaF2st7VZD_ Link to OneNote: https://1drv.ms/u/s!AtV6m-Y-GWD9gpdehNYuGl5tTPhYUA Stokes flow past a sphere http://web.mit.edu/fluids-modules/www/low_speed_flows/2-5Stokes.pdf Non-dimensionalization and scaling of the Navier–Stokes equations https://en.wikipedia.org/wiki/Non-dimensionalization_and_scaling_of_the_Navier%E2%80%93Stokes_equations DERIVATION OF THE STOKES DRAG FORMULA https://mae.ufl.edu/~uhk/STOKES-DRAG-FORMULA.pdf Viscous stress tensor https://en.wikipedia.org/wiki/Viscous_stress_tensor Fluid Equations in Spherical Coordinates http://farside.ph.utexas.edu/teaching/336L/Fluidhtml/node21.html 0:00 Setup of the question 1:05 The symmetry of the system 1:57 Dimonsionless Navier-Stoke Equation Non-dimensionalization and scaling of the Navier–Stokes equations https://en.wikipedia.org/wiki/Non-dimensionalization_and_scaling_of_the_Navier%E2%80%93Stokes_equations 4:47 Equation of curl of curl of vorticity 6:23 Incompressability equation(\nabla v=0) 8:47 Continue the equation of curl of curl of vorticity to arrive at ODE for psi 11:09 solve for psi 12:06 plug into v, get v_r and v_theta 12:22 apply v_r and v_theta to the Boundary conditions(B.C.) to get the exact solution for v_r and v_theta 16:40 Solve for pressure and force due to pressure 23:11 Solve for viscous stress tensor and force due to stress 26:18 Add force due to pressure and stress to get Stokes drag 26:29 Summary