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Category > Accounting Posted 07 May 2017 My Price 7.00

Develop an explicit finite difference formulation

 

Revisit Prob. 5–61 of two-dimensional heat conduction in a square cross section. (a) Develop an explicit finite difference formulation for a two-dimensional transient heat conduction case and (b) find the nodal temperatures after 15 seconds. 5–119 Quench hardening is a mechanical process in which the ferrous metals or alloys are first heated and then quickly cooled down to improve their physical properties and avoid phase transformation. Consider a 40 cm x 20 cm block of copper alloy (k = 120 W/m·K, a = 3.91 x 10-6 m2 /s) being heated uniformly until it reaches a temperature of 800°C. It is then suddenly immersed into the water bath maintained at 15°C with h = 100 W/m2 ·K for quenching process. However, the upper surface of the metal is not submerged in the water and is exposed to air at 15°C with a convective heat transfer coefficient of 10 W/m2 ·K. Using an explicit finite difference formulation, calculate the temperature distribution in the copper alloy block after 10 min have elapsed using ∆t = 10 s and a uniform mesh size of ∆x = ∆y = 10 cm

 

 

 
 

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Alpha Geek
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Status NEW Posted 07 May 2017 04:05 PM My Price 7.00

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file 1494174085-Answer.docx preview (234 words )
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