Finite Heat Release Model

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Presentation transcript:

Finite Heat Release Model In the Otto cycle it is assumed that the heat is release instantaneously. A finite heat release model specifies heat release as a function of crank angle. This model can be used determine the effect of spark timing or heat transfer on engine work and efficiency. The cumulative heat release or “burn fraction” for SI engines is given by: where q = crank angle qs = start of heat release qd = duration of heat release n = form factor a = efficiency factor Used to fit experimental data

Finite Heat Release A typical heat release curve consists of an initial spark ignition phase, followed by a rapid burning phase and ends with burning completion phase The curve asymptotically approaches 1 so the end of combustion is defined by an arbitrary limit, such as 90% or 99% complete combustion where xb = 0.90 or 0.99 corresponding values for efficiency factor a are 2.3 and 4.6 The rate of heat release as a function of crank angle is:

Finite Heat Release Model

Finite Heat Release Model The cylinder volume in terms of crank angle, V(q), is Differentiating wrt q where For the portion of the compression and expansion strokes with no heat Release, where q < qs and q > qs + qd  dQ/dq = 0 and

Finite Heat Release Model Results Start of heat release: Engine 1 - 20o bTC Engine 2 - TC Duration 40o

Finite Heat Release Model Results