1). Air flows isentropically in a channel at section 1 the Ma = 0.3, area at section 1 is 0.001 m^2 and the absolute pressure and temperature are 650kPa and 62 degrees respectively. at section 2 the Ma is 0.8 . Find

a) channel shape

b) draw t-s diagram for the process

c) Properties at section 2

solve part c above for a compressible gas flow through a variable area duct by

i) Casting the 7 set of governing equations into differential form

ii) Cast the equations from i) in matrix form

i.e Ax = b

x= dependent properties you seek (differential form)

b= differential form of area term

A= coefficient matrix (influence coefficient)

iii) Solve the matrix in ii) by writing an appropriate C++ program that gives the properties at section required in the problem on top ( part c of Q1)