Compressor work equation. 9) k is called the polytropic coefficient of the process.
Compressor work equation The compressor is to deliver 2000 Nm3/h of air. The formula for adiabatic efficiency is: Adiabatic Efficiency = (1 – (T2/T1)^((k-1)/k)) x 100% where T1 is the inlet temperature, T2 is the outlet temperature, and k is the specific heat ratio of enthalpy change of the fluid and the work or the heat dissipated by the irreversibilities. 2 Integral approach of the polytropic The assumption that we make here is to apply the law followed by the fluid between the compressor inlet and outlet, which is of type: Pvk = Const (4. Method-3: compressor power = mCvdT The equation for work done in a reversible steady flow process was derived in Chapter 05 as equation and is reproduced below: \[w_{rev} = -\int_1^2 vdP + \frac{V_1^2-V_2^2}{2} + g(z_1 - z_2)\] For the case of compressor where we want to treat work input as positive quantity and after neglecting the kinetic energy and potential energy terms, the A compressor has to deliver 2000 Nm3/h of air at 6 bar g, from air at atmospheric pressure and 20°c. 9) k is called the polytropic coefficient of the process. From the conservation of energy, the compressor work per mass of airflow CW is equal to the change in the specific enthalpy ht of the flow from the entrance to the exit of the compressor. Adiabatic efficiency equation. Polytropic efficiency equation Considering the mechanical efficiency of a compressor. 4. Method-2: Compressor work = (P2V2 - P1V1)/(1 - γ) Where γ = specific heat ratio As this formula represent work done by gas so inversely we can say work done by compressor. CW = ht3 - ht2 The term "specific" means per mass of airflow. 72. Jul 22, 2023 · Compressor power = mCpdT Where m = mass flow rate Cp = specific heat at constant pressure dT = Temperature difference at inlet and outlet. The efficiency of the compressor is known and is 0. 3. Jan 17, 2023 · Compressor Adiabatic Efficiency: Adiabatic efficiency is a measure of how effectively a compressor converts energy into work without any heat loss. Step 1 : calculate the mass flow rate. Polytropic efficiency or hydraulic efficiency for a compressor is represented by,. These equations will provide us with theoretical values of the power requirement and the thermodynamic efficiencies of the compression process. 2. May 13, 2021 · Work must be done to turn the shaft on which the compressor is mounted. . 1.