Unit1 Conduction

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    UNITI

    DEFINITION OF HEAT TRANSFER

    Heat transfer is energy in transit due to temperature difference. Whenever thereexists a temperature difference in a medium or between media, heat transfer must

    occur. The basic requirement for heat transfer is the presence of temperature

    difference. There can be no net heat transfer between two mediums that are at the

    same temperature. The temperature difference is the driving force for heat transfer,

    ust as the voltage difference is the driving force for electric current flow and

    pressure difference is the driving force for fluid flow. The rate of heat transfer in a

    certain direction depends on the magnitude of the temperature gradient (the

    temperature difference per unit length or the rate of change of temperature) in that

    direction. The larger the temperature gradient, the higher the rate of heat transfer.

    Figure1:Applications of Heat Transfer

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Basics of Heat Transfer

    In the simplest of terms, the discipline of heat transfer is concerned with only two

    things: temperature, and the flow of heat. Temperature represents the amount of

    thermal energy available, whereas heat flow represents the movement of thermalenergy from place to place.

    1.1)Difference between heat and temperatureIn describing heat transfer problems, we often make the mistake of interchangeably

    using the terms heat and temperature. Actually, there is a distinct difference

    between the two. Temperature is a measure of the amount of energy possessed by

    the molecules of a substance. It is a relative measure of how hot or cold a substance

    is and can be used to predict the direction of heat transfer. The usual symbol for

    temperature is T. The scales for measuring temperature in SI units are the Celsius

    and Kelvin temperature scales. On the other hand, heat is energy in transit. The

    transfer of energy as heat occurs at the molecular level as a result of a temperature

    difference. The usual symbol for heat is Q. Common units for measuring heat are

    the Joule and calorie in the SI system.

    1.2)Difference between thermodynamics and heat transferThermodynamics tells us:

    how much heat is transferred (Q)

    how much work is done (W)

    final state of the system

    Heat transfertells us:

    how (with what modes) Q is transferred

    at what rate Q is transferred

    temperature distribution inside the body

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    1.3) Heat FluxHeat transfer always occurs from a higher-temperature object to a cooler

    temperature one as described by thesecond law of thermodynamics or the Clausius

    statement. Where there is a temperature difference between objects in proximity,

    heat transfer between them can never be stopped; it can only be slowed.

    Figure2: Heat Flux

    http://en.wikipedia.org/wiki/Second_law_of_thermodynamicshttp://en.wikipedia.org/wiki/Second_law_of_thermodynamicshttp://en.wikipedia.org/wiki/Second_law_of_thermodynamics
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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    1.4) Different Heat Transfer ModesHeat transfer modes are classified into three types

    Figure3:Heat Conduction and its Mechanisms

    Conduction: Conduction refers to the heat transfer that occurs across the medium.

    Medium can be solid or a fluid, as transfer of heat occurring through interveningmatter without bulk motion of the matter.

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Convection: Convection is the transfer of heat energy between a solid surface and

    the nearby liquid or gas in motion. As fluid motion goes more quickly the

    convective heat transfer increases. The presence of bulk motion of fluid enhances

    the heat transfer between the solid surface and the fluid.

    There are two types of Convective Heat Transfer:

    Figure4:Types of Convective Heat Transfer

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Radiation: Radiation takes place in the absence of intervening medium;

    there is net heat transfer between two surfaces at different temperatures in the

    form of electromagnetic waves.

    Figure5: Radiation Heat Transfer

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure6: One Dimensional Heat Conduction

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure7: Heat Conduction in long cylinder

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure8: Heat Generation in Solids

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Consider a Cylindrical Shell

    Figure9: Heat Generation in Cylindrical Shell

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure10: Maximum Temperature in a Symmetrical Solid

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure11: Unsteady Heat Conduction (Temperature distribution)

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure12: Conduction Resistance

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Figure13: Conduction Resistance in Two Walls

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    Heat and Mass Transfer Mechanical Engineering

    Ajai S | Lecturer/MECH

    Pictorial Representations

    References

    1.Heat Transfer - A Practical Approach by Yugnus A Cengel.2.

    Sachdeva R C, Fundamentals of Engineering Heat and Mass TransferNew Age International, 1995.

    3. www.efunda.com/formulae/heat_transfer/index.cfm4. nptel.iitm.ac.in/Heat%20and%20Mass%20Transfer/Student_Slides_M1.pdf5. images.google.co.in/heat conduction images.

    http://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfmhttp://www.efunda.com/formulae/heat_transfer/index.cfm