1
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Consider a rod of uniform thermal conductivity whose one end (x = 0) is insulated and the other end (x = L) is exposed to flow of air at temperature T with convective heat transfer coefficient h. The cylindrical surface of the rod is insulated so that the heat transfer is strictly along the axis of the rod. The rate of internal heat generation per unit volume inside the rod is given as 

$\rm \dot q = \cos \frac{2 \pi x}{L}$

The steady-state temperature at the mid-location of the rod is given as TA. What will be the temperature at the same location, if the convective heat transfer coefficient increases to 2h?

A
$\rm T_A + \frac{\dot q L}{2h} $
B
2TA
C
TA
D
$T_A \left( 1 - \frac{\dot q L}{4 \pi h} \right) + \frac{\dot q L}{4 \pi h} T_\infty$
2
GATE ME 2022 Set 1
Numerical
+2
-0

Consider a solid slab (thermal conductivity, k = 10 W∙m-1∙K-1) with thickness 0.2 m and of infinite extent in the other two directions as shown in the figure. Surface 2, at 300 K, is exposed to a fluid flow at a free stream temperature (T) of 293 K, with a convective heat transfer coefficient (h) of 100 W∙m-2∙K-1. Surface 2 is opaque, diffuse and gray with an emissivity (ε) of 0.5 and exchanges heat by radiation with very large surroundings at 0 K. Radiative heat transfer inside the solid slab is neglected. The Stefan-Boltzmann constant is 5.67 × 10-8 W∙m-2∙K-4. The temperature T1 of Surface 1 of the slab, under steady-state conditions, is _________ K (round off to the nearest integer).

GATE ME 2022 Set 1 Heat Transfer - Conduction Question 3 English
Your input ____
3
GATE ME 2022 Set 1
Numerical
+2
-0

During open-heart surgery, a patient’s blood is cooled down to 25 °C from 37 °C using a concentric tube counter-flow heat exchanger. Water enters the heat exchanger at 4 °C and leaves at 18 °C. Blood flow rate during the surgery is 5 L/minute.

Use the following fluid properties :

$$ \begin{array}{|c|c|c|} \hline \text { Fluid } & \text { Density }\left(\mathrm{kg} / \mathrm{m}^3\right) & \text { Specific heat }(\mathrm{J} / \mathrm{kg}-\mathrm{K}) \\ \hline \text { Blood } & 1050 & 3740 \\ \hline \text { Water } & 1000 & 4200 \\ \hline \end{array} $$

Effectiveness of the heat exchanger is _________ (round off to 2 decimal places).

Your input ____
4
GATE ME 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33
In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is
A
positive
B
negative
C
zero
D
infinity
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12