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# PPT - Conduction: One Dimensional Chemical Engineering Notes | EduRev

## Chemical Engineering : PPT - Conduction: One Dimensional Chemical Engineering Notes | EduRev

``` Page 1

Chapter 2: Heat Conduction
Equation
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Page 2

Chapter 2: Heat Conduction
Equation
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Objectives
When you finish studying this chapter, you should be able to:
â€¢
Understand multidimensionality and time dependence of heat transfer,
and the conditions under which a heat transfer problem can be
approximated as being one-dimensional,
â€¢
Obtain the differential equation of heat conduction in various
coordinate systems, and simplify it for steady one-dimensional case,
â€¢
Identify the thermal conditions on surfaces, and express them
mathematically as boundary and initial conditions,
â€¢
Solve one-dimensional heat conduction problems and obtain the
temperature distributions within a medium and the heat flux,
â€¢
Analyze one-dimensional heat conduction in solids that involve heat
generation, and
â€¢
Evaluate heat conduction in solids with temperature-dependent
thermal conductivity.
Page 3

Chapter 2: Heat Conduction
Equation
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Objectives
When you finish studying this chapter, you should be able to:
â€¢
Understand multidimensionality and time dependence of heat transfer,
and the conditions under which a heat transfer problem can be
approximated as being one-dimensional,
â€¢
Obtain the differential equation of heat conduction in various
coordinate systems, and simplify it for steady one-dimensional case,
â€¢
Identify the thermal conditions on surfaces, and express them
mathematically as boundary and initial conditions,
â€¢
Solve one-dimensional heat conduction problems and obtain the
temperature distributions within a medium and the heat flux,
â€¢
Analyze one-dimensional heat conduction in solids that involve heat
generation, and
â€¢
Evaluate heat conduction in solids with temperature-dependent
thermal conductivity.
Introduction
â€¢
Although heat transfer and temperature are
closely related, they are of a different nature.
â€¢
Temperature has only magnitude
it is a scalar quantity.
â€¢
Heat transfer has direction as well as magnitude
it is a vector quantity.
â€¢
We work with a coordinate system and indicate
direction with plus or minus signs.
Page 4

Chapter 2: Heat Conduction
Equation
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Objectives
When you finish studying this chapter, you should be able to:
â€¢
Understand multidimensionality and time dependence of heat transfer,
and the conditions under which a heat transfer problem can be
approximated as being one-dimensional,
â€¢
Obtain the differential equation of heat conduction in various
coordinate systems, and simplify it for steady one-dimensional case,
â€¢
Identify the thermal conditions on surfaces, and express them
mathematically as boundary and initial conditions,
â€¢
Solve one-dimensional heat conduction problems and obtain the
temperature distributions within a medium and the heat flux,
â€¢
Analyze one-dimensional heat conduction in solids that involve heat
generation, and
â€¢
Evaluate heat conduction in solids with temperature-dependent
thermal conductivity.
Introduction
â€¢
Although heat transfer and temperature are
closely related, they are of a different nature.
â€¢
Temperature has only magnitude
it is a scalar quantity.
â€¢
Heat transfer has direction as well as magnitude
it is a vector quantity.
â€¢
We work with a coordinate system and indicate
direction with plus or minus signs.
Introduction - Continue
â€¢
The driving force for any form of heat transfer is the
temperature difference.
â€¢
The larger the temperature difference, the larger the
rate of heat transfer.
â€¢
Three prime coordinate systems:
â€“
rectangular (T(x, y, z, t)) ,
â€“
cylindrical (T(r, ?, z, t)),
â€“
spherical (T(r, ?, ?, t)).
Page 5

Chapter 2: Heat Conduction
Equation
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Objectives
When you finish studying this chapter, you should be able to:
â€¢
Understand multidimensionality and time dependence of heat transfer,
and the conditions under which a heat transfer problem can be
approximated as being one-dimensional,
â€¢
Obtain the differential equation of heat conduction in various
coordinate systems, and simplify it for steady one-dimensional case,
â€¢
Identify the thermal conditions on surfaces, and express them
mathematically as boundary and initial conditions,
â€¢
Solve one-dimensional heat conduction problems and obtain the
temperature distributions within a medium and the heat flux,
â€¢
Analyze one-dimensional heat conduction in solids that involve heat
generation, and
â€¢
Evaluate heat conduction in solids with temperature-dependent
thermal conductivity.
Introduction
â€¢
Although heat transfer and temperature are
closely related, they are of a different nature.
â€¢
Temperature has only magnitude
it is a scalar quantity.
â€¢
Heat transfer has direction as well as magnitude
it is a vector quantity.
â€¢
We work with a coordinate system and indicate
direction with plus or minus signs.
Introduction - Continue
â€¢
The driving force for any form of heat transfer is the
temperature difference.
â€¢
The larger the temperature difference, the larger the
rate of heat transfer.
â€¢
Three prime coordinate systems:
â€“
rectangular (T(x, y, z, t)) ,
â€“
cylindrical (T(r, ?, z, t)),
â€“
spherical (T(r, ?, ?, t)).
Classification of conduction heat transfer problems:
â€¢ steady versus transient heat transfer,
â€¢ multidimensional heat transfer,
â€¢ heat generation.
Introduction - Continue
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## Heat Transfer for Engg.

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