HW 1

Problem 0

  • Read the notes here
  • And here
  • State if you did this

Problem 1

Write following (from memory, study first if needed):

  • Air mole fraction of O2
  • Air mole fraction of N2
  • mole ratio of N2 to O2 in air
  • mole ratio of Air to O2 in air
  • MW of O2
  • MW of N2
  • MW of C (to 5 total significant digits)
  • Mean MW of air (2 significant digits)
  • Convert mole fraction of O2 in air to mass fraction by hand using the formulas provided (which you should know)
  • Convert mole fraction of N2 in air to mass fraction by hand using the formulas provided (which you should know)

Problem 2

  • Write the stoichiometric reaction for methane combustion in air to products of complete combustion (PCC)
  • Write the stoichiometric reaction for general C$_x$H$_y$ combustion in air to products of complete combustion
  • Define equivalence ratio
  • Define excess air
  • Derive the formula for excess air in terms of equivalence ratio
  • Write the C$_x$H$_y$ reaction in terms of $\phi$ when rich
  • Write the C$_x$H$_y$ reaction in terms of $E$ when lean

Problem 3

  • Define the mixture fraction
  • What are the min and max values of mixture fraction?
  • Write the equivalence ratio in terms of the mixture fraction and the stoichiometric mixture fraction.
  • What is the stoichiometric mixture fraction for methane/air combustion to PCC?
  • What is the stoichiometric mixture fraction for methane combustion if you change the streams from methane and air to methane/nitrogen and oxygen? That is, move the nitrogen in air to the fuel stream instead of the air stream.