1

### GATE ME 2014 Set 4

Match Group $A$ with Group $B$

Group-A
$P:$$\,\,\,\,\,\,\, Biot number Q:$$\,\,\,\,\,\,\,$ Grashof number
$R:$$\,\,\,\,\,\,\, Prandtl number S:$$\,\,\,\,\,\,\,$ Reynolds number

Group-B
$1:$$\,\,\,\,\,\,\, Ratio of buoyancy to viscous force 2:$$\,\,\,\,\,\,\,$ Ratio of inertia force to viscous force
$3:$$\,\,\,\,\,\,\, Ratio of momentum to thermal diffusivities 4:$$\,\,\,\,\,\,\,$ Ratio of internal thermal resistance to boundary layer thermal resistance

A
$P - 4,\,\,Q - 1,\,\,R - 3,\,\,S - 2$
B
$P - 4,\,\,Q - 3,\,\,R - 1,\,\,S - 2$
C
$P - 3,\,\,Q - 2,\,\,R - 1,\,\,S - 4$
D
$P - 2,\,\,Q - 1,\,\,R - 3,\,\,S - 4$
2

### GATE ME 2014 Set 2

Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.

The free stream velocity is ${U_\infty }$ and the free stream temperature ${T_\infty }$ is lower than the cylinder surface temperature ${T_s}.$ The local heat transfer coefficient is minimum at point

A
$1$
B
$2$
C
$3$
D
$4$
3

### GATE ME 2014 Set 2

For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2,$ the average heat transfer coefficient
A
remains same
B
decreased by a factor of $\sqrt 2$
C
rises by a factor of $\sqrt 2$
D
rises by a factor of $4$
4

### GATE ME 2009

A coolant fluid at ${30^ \circ }C$ flows over a heated flat plate maintained at a constant temperature of ${100^ \circ }C$. The boundary layer temp distribution at a given location on the plate may be approximated as $T=30+70exp(-y),$ where $y$ (in $m$) is the distance normal to the plate and $T$ is in $^ \circ C.$ If thermal conductivity of the fluid is $1.0W/mk,$ the local convective heat transfer (in $W/{m^2}K$) at that location will be
A
$0.2$
B
$1$
C
$5$
D
$10$

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