An engine manufacturer wants to develop a gasoline engine that produces 300 hP at 6000 rpm. They can achieve 10 bar BMEP at peak power with a naturally aspirated engine, and 20bar BMEP with a turbocharged engine. Most modern light-duty engines have displacements of ~0.5L per cylinder. Determine the displacement and minimum number of cylinders (rounded to nearest whole number) required to meet these specs for: a. A naturally aspirated engine. b. A turbocharged engine.

Respuesta :

Answer:

a). 5 cylinders

b). 3 cylinders

Explanation:

To develop a gasoline engine that produces

Power, P = 300 hp

               = 300 x 746 = 223710 watt

at speed, N = 600 rpm = 100 rps

and stroke volume [tex]$V_s=0.5$[/tex] L

                                   = [tex]$0.5 \times 10^{-3}\ m^3$[/tex]

a). A naturally aspirated engine

BMEP at peak power = 10 bar

                                    = [tex]$10 \times 10^5\ N/m^2$[/tex]

Suction volume, V = [tex]$V_s \times N$[/tex]

                           = [tex]$0.5 \times 10^{-3} \times 100 = 0.05\ m^3/s$[/tex]

Power produced in one engine cylinder , p = BMEP x V

                                                                        = [tex]$10 \times 10^5 \times 0.05$[/tex]

                                                                        = 50000 watts

No. of cylinders required, n = [tex]$\frac{P}{p}$[/tex]

                                              = [tex]$\frac{223710}{50000}$[/tex]    

                                             = 4.47

So number of cylinders ≈ 5 nos.

b). A turbo charged engine

   BMEP = 20 bar = [tex]$20 \times 10^5\ N/m^2$[/tex]

   and Volume V = [tex]$0.05\ m^3 /s$[/tex]

Power produced in one engine cylinder, p = BMEP x V

                                                                       = [tex]$20\times 10^5 \times 0.05$[/tex]

                                                                       = 100000 watts

Therefore, number of cylinders, n = [tex]$\frac{P}{p}$[/tex]

                                                        = [tex]$\frac{223710}{100000}$[/tex]

                                                        = 2.23

So number of cylinders ≈ 3 nos.

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