GATE

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Environmental Engineering

Transportation Engineering

Geomatics Engineering Or Surveying

Engineering Mathematics

General Aptitude

JEE

1

A fluid (Prandtl number, $$Pr=1$$) at $$500$$ $$K$$ flows over a flat plate of $$1.5$$ $$m$$ length, maintained at $$300$$ $$K.$$ The velocity of the fluid is $$10\,\,m/s.$$ Assuming kinematic viscosity, $$v = 30 \times {10^{ - 6}}\,\,{m^2}/s,$$ the thermal boundary layer thickness (in $$mm$$) at $$0.5$$ $$m$$ from the leading edge is _________.

Your Input ________

Correct answer is between **5.90 **and ** 6.25**

2

For flow through a pipe of radius $$R,$$ the velocity and temperature distribution are as follows:

$$U\left( {r,x} \right) = {C_1}$$ and $$T\left( {r,x} \right) = {C_2}\left[ {1 - {{\left( {{r \over R}} \right)}^3}} \right],$$

where $${C_1}$$ and $${C_2}$$ are constants. The bulk mean temperature is given by

$${T_m} = {2 \over {{U_m}{R^2}}}\int\limits_0^R {u\left( {r,x} \right)T\left( {r,x} \right)rdr,} $$

with $${{U_m}}$$ being the mean velocity of flow. The value of $${T_m}$$ is

$$U\left( {r,x} \right) = {C_1}$$ and $$T\left( {r,x} \right) = {C_2}\left[ {1 - {{\left( {{r \over R}} \right)}^3}} \right],$$

where $${C_1}$$ and $${C_2}$$ are constants. The bulk mean temperature is given by

$${T_m} = {2 \over {{U_m}{R^2}}}\int\limits_0^R {u\left( {r,x} \right)T\left( {r,x} \right)rdr,} $$

with $${{U_m}}$$ being the mean velocity of flow. The value of $${T_m}$$ is

A

$${{0.5{C_2}} \over {{U_m}}}$$

B

$${0.5{C_2}}$$

C

$${0.6{C_2}}$$

D

$${{0.6{C_2}} \over {{U_m}}}$$

3

Water flows through a tube of diameter $$25mm$$ at an average velocity of $$1.0m/s.$$ The properties of water are $$\rho = 1000\,\,kg/{m^3},$$ $$\mu = 7.25 \times {10^{ - 4}}\,\,N.s/{m^2},$$ $$\,K = 0.625W/m.K,$$ $$Pr=4.85.$$ Using $$Nu=0.023$$ $$R{e^{0.8}}\,\,{\Pr ^{0.4}},$$ the convective heat transfer coefficient (in $$W/{m^2}.K$$) is ______________.

Your Input ________

Correct answer is between **6800 **and ** 6900**

4

Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $$30$$ $$mm$$ and thermal conductivity $$15$$ $$W/m.K.$$ At $$x=0,$$ a constant heat flux, $$q'' = 1 \times {10^5}\,\,W/{m^2}$$ is applied. On the other side of the wall, heat is removed from the wall by convection with a fluid at $${25^ \circ }C$$ and heat transfer coefficient of $$250W/{m^2}.K.$$ The temperature (in $${}^ \circ C$$), at $$x=0$$ is
___________

Your Input ________

Correct answer is between **620 **and ** 630**

Number in Brackets after Paper Name Indicates No of Questions

GATE ME 2016 Set 1 (1) *keyboard_arrow_right*

GATE ME 2015 Set 1 (1) *keyboard_arrow_right*

GATE ME 2014 Set 2 (1) *keyboard_arrow_right*

GATE ME 2014 Set 1 (2) *keyboard_arrow_right*

GATE ME 2011 (1) *keyboard_arrow_right*

GATE ME 2010 (1) *keyboard_arrow_right*

GATE ME 2007 (2) *keyboard_arrow_right*

GATE ME 2005 (2) *keyboard_arrow_right*

GATE ME 2003 (1) *keyboard_arrow_right*

GATE ME 2002 (1) *keyboard_arrow_right*

GATE ME 2001 (1) *keyboard_arrow_right*

GATE ME 1996 (1) *keyboard_arrow_right*

GATE ME 1992 (1) *keyboard_arrow_right*