1
GATE ME 2023
MCQ (More than One Correct Answer)
+1
-0
Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation? 
A
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 1
B
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 2
C
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 3
D
GATE ME 2023 Heat Transfer - Conduction Question 1 English Option 4
2
GATE ME 2023
Numerical
+1
-0

Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being T1, in = 300 K and T2, in = 350 K. The heat capacity rates of the two fluids are C1 = 1000 W/K and C2 = 400 W/K, and the effectiveness of the heat exchanger is 0.5. The actual heat transfer rate is _____ kW.

(Answer in integer)

Your input ____
3
GATE ME 2023
MCQ (Single Correct Answer)
+2
-0.66
A cylindrical rod of length β„Ž and diameter 𝑑 is placed inside a cubic enclosure of side length 𝐿. 𝑆 denotes the inner surface of the cube.

The view-factor FS-S is 
A
0
B
1
C
$\rm \frac{(\pi dh+\pi d^2/2)}{6L^2}$
D
$\rm1-\frac{(\pi dh+\pi d^2/2)}{6L^2}$
4
GATE ME 2023
MCQ (More than One Correct Answer)
+2
-0

A very large metal plate of thickness 𝑑 and thermal conductivity π‘˜ is cooled by a stream of air at temperature π‘‡βˆž = 300 K with a heat transfer coefficient β„Ž, as shown in the figure. The centerline temperature of the plate is TP. In which of the following case(s) can the lumped parameter model be used to study the heat transfer in the metal plate? 

GATE ME 2023 Heat Transfer - Convection Question 1 English
A
$h=10 \mathrm{Wm}^{-2} \mathrm{~K}^{-1}, k=100 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}, d=1 \mathrm{~mm}, T_p=350 \mathrm{~K}$
B
$h=100 \mathrm{Wm}^{-2} \mathrm{~K}^{-1}, k=100 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}, d=1 \mathrm{~m}, T_p=325 \mathrm{~K}$
C
$h=100 \mathrm{Wm}^{-2} \mathrm{~K}^{-1}, k=1000 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}, d=1 \mathrm{~mm}, T_p=325 \mathrm{~K}$
D
$h=1000 \mathrm{Wm}^{-2} \mathrm{~K}^{-1}, k=1 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}, d=1 \mathrm{~m}, T_p=350 \mathrm{~K}$
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