Each project should be presented in written and oral forms. A written individual report shouldcontain a summary, introduction, short literature review, objectives, methodology, results anddiscussion and conclusion.Project 1A vortex tube is a mechanical-thermal device that separates a compressed flow of air (or anyinert gas) into hot and cold streams and has no mechanical moving parts.Cold AirCompressedAir SupplyVortex SpinChamber (2cold outletf = 0.25P₁ = 100 kPad.e. Develop the main equationsf. Estimate the COP with and without the vortex tube.https://blog.exair.com/2018/10/31/the-theory-of-the-vortex-tube/a. Start by solving using the simple problem (problem 1) described below.b. Derive the basic equations allowing its performance evaluation.c.Develop an EES model and conduct an analysis on the thermal performance of this device.Consider three working fluids.Consider the integration of the vortex tube with a refrigeration system.Control ValveHot Air6Problem 1Vortex tube simple modeling [1]A vortex tube takes in high-pressure air at 650 kPa and 305 K, and splits it into two streams at alower pressure, 100 kPa: one at a higher temperature of 325 K and one at a lower temperature.The fraction of mass entering that leaves at the cold outlet is f-0.25. The vortex tube operatescontinuously at steady state, is adiabatic, and performs/experiences no work. Air should bemodeled as an ideal gas with constant specific heat: R=287 J/kg K and Cp=1004 J/kg.K.inletT₁ = 305 KP₁ = 650 kPavortex tubehot outletT₂=325 KP₂ = 100 kPaa) Determine the temperature at the cold end. Then, determine whether this device isphysically possible.b) Analyze the effect of inlet pressure P1 (from 1 bar to 10 bars) on the cold end temperature.c) Consider the case of steam and repeat a) and b).d) Discuss the practical problems that may occur when using steam.[1] https://kyleniemeyer.github.io/computational-thermo/content/second-law/vortex-tube.html

Given: P0=650 kPaT0 = 305 KTh=325 KmL = 0.25R = 287 J/kgKCp = 1004 J/kgK To find: Temperature at…

Each project should be presented in written and oral forms. A written individual report should contain a summary, introduction, short literature review, objectives, methodology, results and discussion and conclusion. Project 1 A vortex tube is a mechanical-thermal device that separates a compressed flow of air (or any inert gas) into hot and cold streams and has no mechanical moving parts. Cold Air Problem 1 Vortex tube simple modeling [1] Compressed Air Supply Vortex Spin Chamber (2 cold outlet f=0.25 P₁ = 100 kPa a. Start by solving using the simple problem (problem 1) described below. b. Derive the basic equations allowing its performance evaluation. c. Develop an EES model and conduct an analysis on the thermal performance of this device. Consider three working fluids. d. Consider the integration of the vortex tube with a refrigeration system. e. Develop the main equations f. Estimate the COP with and without the vortex tube. Control Valve https://blog.exair.com/2018/10/31/the-theory-of-the-vortex-tube/ Hot Air A vortex tube takes in high-pressure air at 650 kPa and 305 K, and splits it into two streams at a lower pressure, 100 kPa: one at a higher temperature of 325 K and one at a lower temperature. The fraction of mass entering that leaves at the cold outlet is f-0.25. The vortex tube operates continuously at steady state, is adiabatic, and performs/experiences no work. Air should be modeled as an ideal gas with constant specific heat: R=287 J/kg-K and Cp=1004 J/kg.K. inlet T. = 305 K P₁ = 650 kPa vortex tube hot outlet T₂-325 K P₂ = 100 kPa a) Determine the temperature at the cold end. Then, determine whether this device is physically possible. b) Analyze the effect of inlet pressure P1 (from 1 bar to 10 bars) on the cold end temperature. c) Consider the case of steam and repeat a) and b). d) Discuss the practical problems that may occur when using steam. [1] https://kyleniemeyer.github.io/computational-thermo/content/second-law/vortex- tube.html