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Kitty [74]
3 years ago
9

Energy transfer in mechanical systems: During steady-state operation, a mechanical gearbox receives 70 KW of input power through

the input shaft and delivers power through the output shaft. Considering the gearbox as a thermodynamic system, the rate of convection heat transfer generated during its operation is defined by: where h 0.171 kW/m2-K is the convection heat transfer coefficient, A 1.0 m is the outer surface area of the gearbox, T 300 K is the temperature of the outer surface, and T 293 K is the temperature of the surrounding air. For the gearbox, evaluate the heat transfer rate, 2, and the power delivered through the output shaft, W.

Engineering
1 answer:
Degger [83]3 years ago
3 0

Answer:

Heat transfer rate(Q)= 1.197kW

Power output(W)=68.803kW

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zloy xaker [14]
Huh? whats the question?
6 0
3 years ago
A spark ignition engine burns a fuel of calorific value 45MJkg. It compresses the air-ful mixture in accordance with PV^1.3=cons
antoniya [11.8K]

Answer:

i). Compression ratio = 3.678

ii). fuel consumption = 0.4947 kg/hr

Explanation:

Given  :

PV^{1.3}=C

Fuel calorific value = 45 MJ/kg

We know, engine efficiency is given by,

\eta = 1-\left ( \frac{1}{r_{c}} \right )^{1.3-1}

where r_{c} is compression ratio = \frac{v_{c}+v_{s}}{v_{c}}

           r_{c} = 1+\frac{v_{s}}{v_{c}}

where v_{c} is compression volume

           v_{s} is swept volume

Now it is given that swept volume at 30% of compression, 70% of the swept volume remains.

Then, v_{30}=v_{c}+0.7v_{s}

and at 70% compression, 30% of the swept volume remains

    ∴    v_{70}=v_{c}+0.3v_{s}  

We know,

\frac{P_{2}}{P_{1}}=\left ( \frac{V_{1}}{V_{2}} \right )^{n}

\frac{2.75}{1.5}=\left ( \frac{v_{c}+0.7\times v_{s}}{v_{c}+0.3\times v_{s}} \right )^{1.3}

\left ( 1.833 \right )^{\frac{1}{1.3}}=\frac{v_{c}+0.7v_{s}}{v_{c}+0.3v_{s}}\\

1.594=\frac{v_{c}+0.7v_{s}}{v_{c}+0.3v_{s}}

v_{c}+0.7v_{s}=1.594v_{c}+0.4782v_{s}

0.7v_{s}-0.4782v_{s}=1.594v_{c}-v_{c}

0.2218v_{s} = 0.594v_{c}

v_{c}=0.3734 v_{s}

∴   r_{c}= 1+\frac{v_{s}}{0.3734v_{s}}

Therefore, compression ratio is r_{c} = 3.678

Now efficiency, \eta =\left ( 1-\frac{1}{r_{c}} \right )^{0.3}

 \eta =\left ( 1-\frac{1}{3.678} \right )^{0.3}

 \eta =0.32342 , this is the ideal efficiency

Therefore actual efficiency, \eta_{act} =0.5\times \eta _{ideal}

           \eta_{act} =0.5\times 0.32342

           \eta_{act} =0.1617

Therefore total power required = 1 kW x 3600 J

                                                    = 3600 kJ

∴ we know efficiency, \eta=\frac{W_{net}}{Q_{supply}}

Q_{supply}=\frac{W_{net}}{\eta _{act}}

Q_{supply}=\frac{3600}{0.1617}

Q_{supply}=22261.78 kJ

Therefore fuel required = \frac{22261.78}{45000}

                                        = 0.4947 kg/hr      

5 0
4 years ago
The combustion in a gasoline engine may be approximated by a constant volume heat addition process. There exists the air-fuel mi
ddd [48]

Answer:

the pressure at the end of the combustion is 2.68 MPa

Solution:

As per the question:

Initial Pressure, P = 0.95\ MPa

Temperature before combustion, T = 425^{\circ}C = 273 + 425 = 698 K

Temperature after combustion, T' = 1700^{\circ}C = 1973 K

Now,

To calculate the pressure at the end of combustion, P':

By using the Pressure-Temperature relation from Gay- Lussac's law:

\frac{P}{T} = \frac{P'}{T'}

P' = \frac{P}{T}\times T'

P' = \frac{0.95\times 10^{6}}{698}\times 1973 = 2.68\times 10^{6}\ Pa = 2.68\ MPa

5 0
3 years ago
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