Heat of combustion

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Heat of combustion
J. E. Brandenburg EAS 3010 Fall 2006
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Octane C8H18 burned with air 11 (oxygen rich)
Tfinal 2000K
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Octane C8H18 burned with air 21 (fuel rich)
Tfinal 2000K
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Octane C8H18 burned with air 21 (fuel rich)
Tfinal 1000K
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Agenda

• Force Equation without viscosity
• Momentum continuity formula
• Force equation with viscosity

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Convective Derivative of Velocity
Velocity field convect themselves
The velocity field acts on itself
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Force per unit volume without viscosity
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Force per unit volume without viscosity
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Force per unit volume with viscosity
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Force per unit volume with viscosity
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Laminar flow in pipe
PPo
P0
V0 on the wall, V max on centerline
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Homework problems

• 1 derive the exponential pressure law of
  atmospheres ( 15points)
• 2-Find the lifting force of a spherical balloon 1
  meter in radius full of helium on the planet Mars
  at 273K ( 15 points)
• 3-What is the flow rate in a 1 meter diameter
  pipe with a pressure drop of 1 bar over 100
  meters at 70C. ( 15 points)
• 4-what is the viscosity of air at 30,000 ft at
  273K how is it different than that at sea level
  (15points)