Determine the velocity distribution of a viscous fluid with viscosity ŋ and density p, which flows vertically due to the action of gravity between two flat surfaces. Consider d the distance between the planes.
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- 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 NoGg