Notes

• Reminder: please turn in HW, pick up new one• Reminder: First Exam next Friday, 1:55-3:50pm,

Jordan Hall lab room– Will cover Gravity, Fluids (Ch.13, 14)– Review Session:

• Colloquium Today: “Through thick and thin –imaging the microscopic structure of non-Newtonianimaging the microscopic structure of non-Newtonian flow behaviors in colloidal suspensions”

Archimedes’ Principle

• A body wholly or partially immersed in a fluid is b d b f l i it d t thbuoyed up by a force equal in magnitude to the weight of the fluid displaced by the body.

A piece of aluminum with mass 1kg and mass density 2700 kg/m3 is suspended from a string, in air, and is then completely immersed in a container of water. Calculate the tension in the string (a) before and (b) after the metal is immersed. air=0.0012 g/cm3.

Fluid Dynamics

• Moving fluids“ ”• “Ideal” Fluids have– steady flow (non-turbulent)– Incompressible flow– Non-viscous flowNon-viscous flow– Irrotational flow

Continuity

The cross-sectional area of a typical aorta is 3cm2, and the velocity of blood flow there is around 30 cm/s. A typical capillary has a diameter of 6m and hence a cross-sectional area of 3×10-7cm2. Blood flowing in a capillary moves at about 0.05 cm/s. Approximately how many capillaries are there in your body?

Bernoulli’s Equationfluid flow in a volume bounded by streamlines

Bernoulli Demos

siphons

Venturi Meter