(1) A horizontal pipe expands smoothly from diameter do to a larger diameter d₁. A liquid of density p flows at speed vo through the pipe. If the pressure in the narrower section is Po, find an expression for the pressure pl in the wider section.

Question 1 a) Consider the forces acting on an infinitesimal fluid element located at radius r inside a star, where the star is in hydrostatic equilibrium. Show that the buoyancy force acting on the fluid element may be written as Pe dv dt = -(Pe - p)g where Pe is the density inside the fluid element, p is the density of the gas in the surrounding gas at radius r, v is the velocity of the fluid element and g is local acceleration due to gravity. For full marks you should explain each step of your derivation. b) With the aid of a diagram, explain the condition required for convection to occur by considering the small displacement of a fluid element from its original equilibrium location within a star.

Calculate the Reynolds numbers for the flow of water through a nozzle with a radius of 0.270 cm and a garden hose with a radius of 0.940 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.485 L/s. (Assume the temperature of the water is 20°C.) (a) a nozzle with a radius of 0.270 cm Can the flow possibly be laminar? Yes No (b) a garden hose with a radius of 0.940 cm Can the flow possibly be laminar? Yes No

If you were to break the 64 mm capillary in half and repeat the flow rate measurement with water, how would your measured values change?

the water faucent for a garden hose is tuned on, but with the nozzle turned off the owner of the garden assumes that the water cannot exit the hose. however , even through the hose lies horizonatlly on the ground, the owner notice a stream of water spraying vertically out a small leak in the hose. to a height of 0.75 m. what must be the pressure of the water inside the hose  1) 7.9 kpa 2) 8.8 kpa  3) 7.4 kpa 4) 101.3 pka