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Help on Energy Balance Calculations

When drawing the pie charts to show the energy balance, each pie chart is made out of following four segments:

Brake Power as a % of Rate of Energy input

Rate of Energy in Exhaust as a % of Rate of Energy input

Rate of Energy to cooling water as a % of Rate of Energy input

Rate of other Energy losses including friction losses as a % of Rate of Energy input

Items 2, 3, 4 are all energy losses. All four items should add up to 100%

Rate of other Energy losses including friction losses [kW] =

Rate of Energy input [kW] – Brake Power [kW] – Rate of Energy to cooling water [kW] – Rate of Energy in Exhaust [kW]

Equations to calculate the Rate of Energy InputandBrake Power are given in engine-experiment-lab-students.pdf document.

Following equations are also given in the engine-experiment-lab-students.pdf document. Shown below are how to work out the T value for each equation.

Rate of Energy in Exhaust

Cpexhaust = Specific heat capacity of exhaust [1.15 kJ/kgK]

Exhaust mass flow rate = air mass flow rate + fuel mass flow rate [kg/s]

Exhaust below manifold [T5] – Ambient temperature

Rate of Energy to cooling water

Cpwater = Specific heat capacity of water [4180 J/kgK]

= Mass flow rate of water

= Heat exchanger outlet temperature [T3] – Heat exchanger inlet temperature [T4]

Based on the above you can create a pie chart showing the energy balance for each load.

This needs to be done for the two speeds 1900rpm and 2400rpm. In total there will be 10 pie charts.

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