(a) Show by dimensional analysis that the drag D on a sphere diameter d moving constant velocity v through a stagnant fluid of density p and dynamic viscosity u may be expressed as D=H² (pvd) Demonstrate that Stokes' law D =3лµvd is consistent with this expression and state the circumstances that under which Stokes' law is valid.

In Millikan's oil drop experiment, an oil drop of radius 0.02 mm and density 1.2 × 10ʻ kg falls in air. The coefficient of viscosity of air at the temperature of the experiment is 1.8 x 1 Pa-s. (a) Find the terminal velocity of the drop. (b) What is the viscous force on the drop at this velocity? Neglect buoyancy -3 due to air.

Consider the air and the bell jar. After the syringe has been pumped, the volume of air in the jar (increase,decrease or remains the same) the pressure (increase, decrease or remains the same) and the density (increase, decrease or remains the same).

Calculate the gauge pressure (in Pa first, then convert) due to whole blood in an IV system such as the one shown in picture below if h = 2.03 m. b) Noting that there is an open tube, so that atmospheric pressure is exerted on the whole blood in the bottle, calculate the total pressure (absolute) exerted at the needle by the blood. Report both answers in mm of Hg.(1 atm= 14.7psi = 1.013x105 Pa= 760 mmHg; Absolute)(Density of whole blood = 1060 kg/m3)

A) B) c) In a viscous turbulent flow near a wall, laminar shear is dominant near the wall. In dimensional analysis, the reduction is less than or equal to the number of fundamental dimensions involved in the problem. (X) X In order to obtain meaningful continuum properties, the unit volume should be smaller than the cube of molecular spacing (X)