Question

In a 3-min or less recorded video, explain the purpose/use of Navier-Stokes equations in fluid mechanics. How are the equations used and applied? Give a detailed description of a specific use or application of the Navier-Stokes equation in water resources engineering. In what circumstances can you obtain an exact solution? Upload your video to Warpwire video in Isidore.

Answer 1

e Application of Navier Stokes equation in Fluid Mechanics : 1. Describes the flow of in compressible fluids. as well as friction dess fluids. 2. It can be used for the very complicated problems like multiphase flow driven by Surface tension. 3. Applications in computational medical studies on blood jets, Submarines etc. fluid dynamics, advance flow in veins, Modern > Application in Water resource engineering : 1. Weather forecast 2 Determining currents in rivers 3. Calculating drainage systems 4. Ship design and testing 5. Design of windmills. General Expression: allui) + d(sui ug)=drijl en 24 OR Plav + V.AV) = - VP+ 0. Pa Density, V - Velocity , Ta stress, f body force

U P -> Pressure Exact solution comes under :- When the density ($) and kinematic viscosity (W) are constant and conservative body forces are absorbed absorbed in to in to pressure term poc o then equation reduces to :- Iv + (v.o).v=-I op tv z²v