Answered: One side of a metal alloy, which is in…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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One side of a metal alloy, which is in a shape of rectangular prism that used for soldering and vertical position, is merged with the surface to be soldered; and the other side of it melted properly by exposing of laser radiation. At the beginning of proccess, the metal alloy had 72C melting temperature and as solder material melted, it has been flowing downstream troughout surface under the gravity. Laser digestion (absorbtion) coefficient of the alloy is given as 0,4; its melting elthapy is given as 33kJ/kg. Please determine instant melting velocity as a type of kg/m2-s in case it would be received 5 kW/m2 radiations and neglecting that the interaction of surface receiving radiation through convection and radiation. How much alloy melts when radiation time is 2s? Please determine instant melting velocity by thinking temperature as 20C, heat transmission coefficient as 15 W/m2-K, diffusion coefficient as 04, and considering interaction of it with ambient air. Please instil the knowns and unknowns by delienating the sequence. Please write your all assumptions in detailed.

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$H e r e m e l t i n g v e l o c i t y o f t h e a l l o y i s g i v e n a s V = \frac{Q α}{m_{e}} h e r e Q = R e c i e v e d r a d i a t i o n = 5 k W / m^{2} α = l a s e r d i g e s t i o n c o e f f i c i e n t o f a l o y = 0.4 m_{e} = M a s s o f e n t h a l p y = 33 K J / k g V = \frac{5 \times 0.4}{33} = 0.0606 k g / m^{2} s V = 0.0606 k g / m^{2} s m e l t i n g v e l o c i t y o f t h e a l l o y i s 0.0606 k g / m^{2} s M a s s o f a l l o y m e l t s i n 2 s e c M = V \times t M = 0.0606 \times 2 M = 0.1212 k g / m^{2}$

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