Thermo Chp 2 Lec 2

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    Heat and Work

    The forms of energy, which constitute the total energy of a system,

    can be contained or stored in a system, and thus can be viewedas

    the static forms of energy.

    The forms of energy not stored in a system can be viewed as the

    dynamic forms of energy or as energy interactions. The only two forms of energy interactions associated with a closed

    system are heat transfer and work.

    Energy transfer across a system boundary due solely to the

    temperature difference between a system and its surroundings is called

    heat.

    Energy transferred across a system boundary that can be thought of as

    the energy expended to lift a weight is called work. work is the energy

    transfer associated with a force acting through a distance. Or any

    energy interaction that is not due to temperature difference.

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    Heat and Work

    Heat and work are energy transport mechanisms between a system

    and its surroundings. The characteristic properties of heat and work

    are as follows:

    1. Both are recognized at the boundaries of a system as they cross

    the boundaries. They are both boundary phenomena.

    2. Systems possess energy, but not heat or work.

    3. Both are associated with a process, not a state. Unlike

    properties, heat or work has no meaning at a state.

    4. Both are path functions (i.e., their magnitudes depends on the

    path followed during a process as well as the end states.

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    Heat and Work

    Since heat and work are path dependent functions, they have inexact

    differentials designated by the symbol . The differentials of heat and

    work are expressed as Q and W. The integral of the differentials of

    heat and work over the process path gives the amount of heat or work

    transfer that occurred at the system boundary during a process.

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    2

    12

    1,

    2

    12

    1,

    (not Q)

    (not )

    along path

    along path

    Q Q

    W W W

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    Sign Convention

    A sign convention is required for heat and work energy transfers,

    and the classical thermodynamic sign convention is used.

    According to the classical sign convention,

    heat transfertoa system and work done bya system are positive;

    heat transferf roma system and work done on system are negative.

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    Energy Transfer by Heat

    Energy transfer across a system boundary due solely to the

    temperature difference between a system and its surroundings is called

    heat. The net heat transferred to a system is defined as

    Heat is a boundary phenomena.

    Thus in thermodynamics, the term heat simply means heat transfer.5

    Q Q Qnet in out

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    Energy Transfer by Heat

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    qQ

    m

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    Energy Transfer by Heat

    A process during which there is no heat transfer is called an

    adiabatic process.

    The system is well insulated so that only a negligible amount of heat can pass

    through the boundary.

    Both the system and the surroundings are at the same temperature.

    An adiabatic process should not be

    confused with an isothermal process

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    Forms of Heat Transfer

    Heat is transferred by three mechanisms

    Conduction

    Convection

    Radiation

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    Energy Transfer by Work

    The energy crossing the boundary of a closed system other than

    heat, is work.

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    Work Heat

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    Energy Transfer by Work

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    Forms of Work

    Mechanical work

    Electrical work

    The rate of electrical work done by electrons crossing a system boundary is

    called electrical power and is given by the product of the voltage drop in voltsand the current in amps.

    The amount of electrical work done in a time period is found by integrating the rate of

    electrical work over the time period.

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    (W)eW V I

    2

    1(kJ)eW V I dt

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    Mechanical Forms of Work

    Definition of work

    There are several different ways of doing work, each in some way

    related to a force acting through a distance.

    In elementary mechanics, the work done by a constant force Fon a

    body displaced a distance s in the direction of the force is given by

    In many thermodynamic problems, mechanical work is the only form

    of work involved. It is associated with the movement of the boundary

    of a system or with the movement of the entire system as a whole. 12

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    1

    2

    112 FdsWW

    For constant force

    For variable force

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    Mechanical Forms of Work

    Some common forms of mechanical work are :

    Shaft Work

    Spring Work

    Work done on Elastic Solid Bars

    Work done to Raise a Body

    Work done to Accelerate a Body

    Work Associated with the Stretching of a Liquid Film

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    Shaft Work

    Energy transmission with a rotating shaft is very common in

    engineering practice.

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    Spring Work

    Combination of springs are used in various common engineering

    machines.

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    Work done on Elastic Solid Bar

    Most solids, contract or elongate under the action of a force.

    They can be modeled as linear springs

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    Work Done to Raise or Accelerate a

    body

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