Microsoft Word - Cengel and Boles TOC _2-03-05_.doc

The complete fission of 0.1 kg of uranium-235 releases

of heat, which is sufficient to meet the energy needs of the car for

which is equivalent to about 112 years. Considering that no car will last more

than 100 years, this car will never need refueling. It appears that nuclear fuel

of the size of a cherry is sufficient to power a car during its lifetime.

Discussion Note that this problem is not quite realistic since the necessary

critical mass cannot be achieved with such a small amount of fuel. Further,

all of the uranium cannot be converted in fission, again because of the criti-

cal mass problems after partial conversion.

Mechanical Energy

Many engineering systems are designed to transport a fluid from one loca-

tion to another at a specified flow rate, velocity, and elevation difference,

and the system may generate mechanical work in a turbine or it may con-

sume mechanical work in a pump or fan during this process. These systems

do not involve the conversion of nuclear, chemical, or thermal energy to

mechanical energy. Also, they do not involve any heat transfer in any signif-

icant amount, and they operate essentially at constant temperature. Such

systems can be analyzed conveniently by considering the mechanical forms

of energyonly and the frictional effects that cause the mechanical energy to

be lost (i.e., to be converted to thermal energy that usually cannot be used

for any useful purpose).

The mechanical energycan be defined as the form of energy that can be

converted to mechanical work completely and directly by an ideal mechani-

cal device such as an ideal turbine. Kinetic and potential energies are the

familiar forms of mechanical energy. Thermal energy is not mechanical

energy, however, since it cannot be converted to work directly and com-

pletely (the second law of thermodynamics).

A pump transfers mechanical energy to a fluid by raising its pressure, and

a turbine extracts mechanical energy from a fluid by dropping its pressure.

Therefore, the pressure of a flowing fluid is also associated with its mechan-

ical energy. In fact, the pressure unit Pa is equivalent to Pa 
N/m^2 
N ·

m/m^3 
J/m^3 , which is energy per unit volume, and the product Pvor its

equivalent P/rhas the unit J/kg, which is energy per unit mass. Note that

pressure itself is not a form of energy. But a pressure force acting on a fluid

through a distance produces work, called flow work, in the amount of P/r

per unit mass. Flow work is expressed in terms of fluid properties, and it is

convenient to view it as part of the energy of a flowing fluid and call it flow

energy. Therefore, the mechanical energy of a flowing fluid can be

expressed on a unit mass basis as

emech
 (2–10)

P

r



V^2

2

gz

No. of days

Energy content of fuel

Daily energy use

6.73 109 kJ

165,000 kJ>day

40,790 days

1 6.73 1010 kJ>kg 21 0.1 kg 2 
6.73 109 kJ

58 | Thermodynamics