Homework Set #1: Due date: 09/07/07 by 11:00 am Problem #1: Consider a spherical particle falling freely in a large fluid body. It is found experimentally that the terminal settling velocity uof the particle is dependent on: (1) particle diameter D; (2) the buoyant weight of the particle W(the difference between the gravity and buoyant forces acting on the particle); (3) fluid density ρ, and (4) fluid viscosity μ. It is assumed that the velocity ucan be mathematically expressed as products of powers of the above variables (i.e. similar to the example of dimensional analysis given in the previous lectures). abcduCDWρµ=Obtain the relationship for uusing dimensional analysis in which the set of linear equations is solved in terms of the exponent
This is the end of the preview. Sign up
access the rest of the document.