Two Dimensional Steady Heat Conduction

What you Dare to Dream ...

Mech 346: Heat Transfer Chapter 4:Two Dimensional Steady Heat Conduction J.G. Pharoah 214 – McLaughlin Hall 533-6579

Department of Mechanical Engineering Queen's University Kingston, Ontario, Canada, K7L 3N6

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Overview • Graphical Method Æ Physical Intuition – Isotherms and Heat Flow lines

• Analytic Methods • Conduction Shape Factors • Finite Volume Method – MS Excel Aside

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1

What you Dare to Dream ... h=100 W/m2K, Adiabatic

T = 1000 C

Adiabatic

Adiabatic

Adiabatic

h=100 W/m2K, T = 50C

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What you Dare to Dream ... h=100 W/m2K, Adiabatic

T = 1000 C

Adiabatic

Q=-10000W /m2 Q=10000W

/m2

h=100 W/m2K, T = 50C

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2

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k=284 W/mK, h=10W/m2K

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What you Dare to Dream ...

k=1 W/mK, h=10W/m2K

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3

What you Dare to Dream ...

With Generation (Near Centre)

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With Generation (Two Regions)

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4

What you Dare to Dream ...

With Generation (Two ‘Lines’)

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With Generation (Two ‘Lines’, unequal strength)

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5

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With Generation (Equal Source/Sink)

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With Generation (Equal Sources along midlines)

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6