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Q54

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type=NAT · page=30–31 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.836

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Source / evidence

file: GATE CH 2020 (with Solutions).pdf

pages: 30–31

assets/solutions/Q054/residual_329abbad57e9.png

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Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature

T_a = 27^0C.ht

Tₐ/iteleng

n ﬁ n i o t s d T_0 xdxten x e ein asF B

The steady state one dimensional energy balance on an element of the fin of thickness dx at a distance x from its base yields

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_____(rounded off to 1 decimal place).

Options

none

Answer

100.57

Solution

T_a = 27^0C, T₀=227⁰ C,T(x)ₓ₌₀.₂₅=?

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[VISUAL / REVIEW — NO INVENTED LATEX] Source math clip

x = 0.25

T(x)_{x = 0}._{25} = 27+200e^{-1}

T(x)_{x = 0}._{25} = 27+/frac{200}{e}

T(x)_{x = 0}._{25} = 100.57^0C

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page=30 bbox=[36,715.48,122.4,728.77]

asset=assets/solutions/Q054/residual_329abbad57e9.png

Raw text

T(x)=27 + 200 e⁻⁴⁽⁰.²⁵⁾

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Source PDF: GATE CH 2020 (with Solutions).pdf

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