Lenoir Cycle - Constant Pressure Heat Rejection (3-1)

Constant Pressure Heat Rejection (3-1)

The final stage (3-1) involves a constant pressure heat rejection back to the original state. From the first law of thermodynamics we find: .

From the definition of work:, we recover the following for the heat rejected during this process: .

As a result, we can determine the heat rejected as follows: {}_3Q_1 = mc_p \left( {T_1 - T_3 } \right) from the definition of constant pressure specific heats for an ideal gas: c_p = \frac{{\gamma R}} {{\gamma - 1}}.

The overall efficiency of the cycle is determined by the total work over the heat input, which for a Lenoir cycle equals \eta _{th} = \frac{{{}_2W_3 + {}_3W_1 }} {{{}_1Q_2 }}. Note that we gain work during the expansion process but lose some during the heat rejection process.

Read more about this topic:  Lenoir Cycle

Famous quotes containing the words constant, pressure, heat and/or rejection:

    “But when with moving accents thou
    Shalt constant faith and service vow,
    Thy Celia shall receive those charms
    With open ears, and with unfolded arms.”
    —Thomas Carew (1589–1639)

    “Destiny is an absolutely definite and inexorable ruler. Physical ability and moral determination count for nothing. It is impossible to perform the simplest act when the gods say “no.” I have no idea how they bring pressure to bear on such occasions; I only know that it is irresistible.”
    —Aleister Crowley (1875–1947)

    “She knows the heat of a luxurious bed.
    Her blush is guiltiness, not modesty.”
    —William Shakespeare (1564–1616)

    “He began therefore to invest the fortress of my heart by a circumvallation of distant bows and respectful looks; he then entrenched his forces in the deep caution of never uttering an unguarded word or syllable. His designs being yet covered, he played off from several quarters a large battery of compliments. But here he found a repulse from the enemy by an absolute rejection of such fulsome praise, and this forced him back again close into his former trenches.”
    —Sarah Fielding (1710–1768)