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Published byFlorence Green Modified over 6 years ago
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TRANSPORT PROPERTIES Ch 30 Quantity Gradiant Laws Temperature Heat HOT - + Electrons Potential Mass Pressure Mass Concentration Momentum Velocity Flux = Jz = amount transported across unit area per s
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Flux- Gases Transport is by discrete carriers and each carrier transports a finite amount In 1 second 1/6th of all molecules present in the box of dimensions will pass through the shaded area C z # of molecules traveling along ‘Z’ = 1 6 # of molecules crossing the face in one second = N C If each carrier transports quantity ‘q’
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Potential Gradient in the System
HOT COLD T 2 1 T2 T1 Z T Z
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Thermal Conductivity of an Ideal Gas – Part 1
Since heat is a manifestation of K.E. and is transported via collisions between carriers, we shall consider gas collisions & mean free path ‘ .’ Z C B A { Z+ Z- From ‘A’ to‘B’ = 1 6 N C 3 2 k [ T + Z - ] From ‘C’ to ‘B’ = 1 6 N C 3 2 k [ T + Z ] - 1 6 N C 3 2 k [ T Z ] =
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Thermal Conductivity of an Ideal Gas – Part 2
[ - Net Flux = = 1 6 N C 3 2 k T Z ] = T Z = -
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= 0 =2C =sqr2C Mean free path ‘ ’ Average distance traveled in 1s =
If ‘Z’, = number collisions per s, = Consider a cylinder of radius, , length In 1s, molecule will travel from one end to the other # collisions made by one molecule per s = But average relative velocity = = 0 =2C =sqr2C Relative Velocity Collision number = Mean free path =
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Diffusion: substances diffuse from a high concentration region to a low concentration region.
Nz+ Nz Nz- Z x Net Flow Homework: Poizulle Formula & Viscosimeter
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