Explanation Given information: Diameter = 15 nm Base temperature of nanowire T s = 2400K and, Temperature of catalyst tip T 8 = 8000 K Specific heat constant h = 10 5 W/m 2 .K Formula used: θ θ b = cosh m ( L − x ) + ( h m k ) sinh m ( L − x ) cosh m L + ( h m k ) sinh m L θ = excess temperature at catalyst tip θ b = excess temperature at base m = weight L = length h = heat transfer coeffient k = thermal conductivity x = distance m= ( h P k A c ) 1 2 = ( 4 h k D ) 1 2 P = fin perimeter A c = Area D = Diameter Assumption: Steady state conditions Calculation: The nanowires (nanotubes with solid cores) are grown on the flat surface with the help of liquid catalyst. The catalyst after the formation of solid nanowires can be extracted from the top of these nanowires. When the silicon carbide nanowire is grown on silicon carbide surface, the nanowires so formed can be considered as the extended surface. For calculating the length of these nanowires, they can be considered the fins with finite length

6th Edition

ISBN: 9780470501962

Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine

Publisher: Wiley, John & Sons, Incorporated

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When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a bur…

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Chapter 3, Problem 3.109P

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The maximum length of nanowire.

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The maximum length of nanowire.

Solution Summary: The author explains the maximum length of nanowire, which is 510mm.

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