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ENGR5003 / Week 2
Week 2 Q1Exercise sheetCurrent spec2:210 min

ENGR5003 Week 2 workshop sheet Q1

Consider the Steady Flow Energy Equation.

Formulas you may need
  • SFEE (per unit mass): q−w=(h2−h1)+12(c22−c12)+g(z2−z1)q - w = (h_2 - h_1) + \tfrac12(c_2^2 - c_1^2) + g(z_2 - z_1) (on the formula sheet)
  • Enthalpy: h=u+pvh = u + pv; ideal gas Δh=cpΔT\Delta h = c_p\Delta T (on the formula sheet)
  • First law (closed system): Δu=q−w\Delta u = q - w (on the formula sheet)
  • Flow work: wflow=pvw_{flow} = pv (on the formula sheet)
  1. (a)
    Given that dq=dwdq = dw and neglecting gravitational potential energy, how does flow velocity vary with specific enthalpy and therefore temperature.
  2. (b)
    Neglecting kinetic and potential energy, show that the SFEE is equivalent to the 1st Law of thermodynamics.