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

The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $${{{T_w} - T} \over {{T_w} - {T_\infty }}} = a + b{y \over L} + c{\left( {{y \over L}} \right)^2},$$ where $$y$$ is measured perpendicular to the plate, $$L$$ is the length, and $$a,b$$ and $$c$$ are arbitrary constants. $${{T_w}}$$ and $${{T_\infty }}$$ are wall and ambiyent temperatures, respectively. If the thermal conductivity of the fluid is $$k$$ and the wall heat flux is $$q'',$$ the Nusselt number $$\,{N_u} = {{q''} \over {{T_w} - {T_\infty }}}{L \over k}$$ is equal to

A

$$a$$

B

$$b$$

C

$$2c$$

D

$$(b+2c$$)

2

The ratios of the laminar hydrodynamic boundary layer thickness to thermal boundary layer thickness of flows of two fluids $$P$$ and $$Q$$ on a flat plate are $${1 \over 2}$$ and $$2$$ respectively. The Reynolds number based on the plate length for both the flows is $${10^4}.$$ The Prandtl and Nusselt numbers for $$P$$ are $${1 \over 8}$$ and $$35$$ respectively. The Prandtl and Nusselt number for $$Q$$ are respectively

A

$$8$$ and $$140$$

B

$$8$$ and $$70$$

C

$$4$$ and $$70$$

D

$$4$$ and $$35$$

3

Match the following

**List-$${\rm I}$$**

$$P.$$ Compressible flow

$$Q.$$ Free surface flow

$$R.$$ Boundary layer flow

$$S.$$ Pipe flow

$$T.$$ Heat convection

**List-$${\rm II}$$**

$$U.$$ Renolds number

$$V.$$ Nussult number

$$W.$$ Weber number

$$X.$$ Froude number

$$Y.$$ Mach number

$$Z.$$ Skin friction coefficient

A

$$P - U,\,\,Q - X,\,\,R - V,\,\,S - Z,\,\,T - W$$

B

$$P - W,\,\,Q - X,\,\,R - Z,\,\,S - U,\,\,T - V$$

C

$$P - Y,\,\,Q - W,\,\,R - Z,\,\,S - U,\,\,T - X$$

D

$$P - Y,\,\,Q - W,\,\,R - Z,\,\,S - U,\,\,T - V$$

4

The temp distribution within the Laminar thermal boundary layer over a heated isothermal flat plate is given by

$$\left( {T - {T_w}} \right)/\left( {{T_\infty } - {T_w}} \right) = \left( {3/2} \right)\,\,\left( {y/{\delta _t}} \right) - \left( {1/2} \right){\left( {y/{\delta _t}} \right)^3},$$

where $${{T_w}}$$ and $${{T_ \propto }}$$ are the temp of plate and free stream respectively, and $$'y'$$ is the normal distance measuread from the plate. The ratio of Average to the local Nussult number based on the thermal boundary layer thickness $${{\delta _t}}$$ is given by

$$\left( {T - {T_w}} \right)/\left( {{T_\infty } - {T_w}} \right) = \left( {3/2} \right)\,\,\left( {y/{\delta _t}} \right) - \left( {1/2} \right){\left( {y/{\delta _t}} \right)^3},$$

where $${{T_w}}$$ and $${{T_ \propto }}$$ are the temp of plate and free stream respectively, and $$'y'$$ is the normal distance measuread from the plate. The ratio of Average to the local Nussult number based on the thermal boundary layer thickness $${{\delta _t}}$$ is given by

A

$$1.33$$

B

$$1.5$$

C

$$2.0$$

D

$$4.64$$

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*