With the aid of a graph show how the indicated power and brake power vary with the engine speed for a variable speed engine and explain the general shape of the graph. ii) State any FOUR advantages of super charging of an internal combustion engine

a) Show that the diagram efficiency, ?_d, of an impulse turbine is given by: ?_d=4b/a_i (cos??a_i- b/a_i ? ) Where b=mean blade speed a_i=nozzle angle ai=absolute velocity of steam from nozzle. (7 marks) b) The following data applies to the

how that the flow rate Q, of a fluid of dynamic viscosity ?, flowing under laminar conditions through a horizontal circular pipe of diameter ‘d’, length ‘L’, with a mean velocity V, when the pressure difference between the ends is P, is given by the expression: Q=(ppd^4)/128?L Hence show that the pressure difference p can be given by the expression P=32?lv/d^2 (121/2 marks)

Answer any ONE question from this section. a) Explain the following terms: Geometrical similarity Dynamic similarity (3 marks) b) Show from the first principles the requirements for dynamic similarity between two fluid motions when considering: Viscous resistance Wave resistance (6

The air resistance R of a supersonic plane during flight, is a function of its length L, velocity V, air dynamic velocity µ, air density ?, and bulk modulus K. Show that the air resistance R is given by: R=pl^2 V^2Ø{µ/pvl ,k/(pv^2 )} where Ø means a “function of”

Answer any ONE question from this section. a) Explain the following terms: Geometrical similarity Dynamic similarity (3 marks) b) Show from the first principles the requirements for dynamic similarity between two fluid motions when considering: Viscous resistance Wave resistance (6