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GATE-2016 (13)

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GATE-2016



13. Match the parameters listed in Group I with the units listed in Group II.


Group I Group II


P. Hydraulic conductivity           1. Newton sec/m^2

Q. Permeability                         2. m/sec

R. Viscosity                               3. m

S. Hydraulic head                      4. m^2



A) P-2, Q-4, R-1, S-3


B) P-1, Q-2, R-4, S-3


C) P-2, Q-4, R-3, S-1


D) P-4, Q-2, R-1, S-3



Answer: A






Explanation:


1. The hydraulic conductivity measure of how easily water moves through the porous media. It depends on the permeability of the material, the degree of saturation and the density and viscosity of the fluid.

 

According to Darcy’s law, the specific discharge can be defined as volume flux per unit area

 

$\frac{Q}{A}=K \frac{dh}{dl}$------------------(1)

 

Q- Discharge (m3/s)

 

dh / dl – Hydraulic head gradient 

 

K – Hydraulic conductivity (m/s)

 

A- cross-sectional area (m2)

 

 

The Hydraulic gradient is the change in total head divided the distance over which the change occurs (dh / dl).

 

 

2. Permeability in fluid mechanics and the earth sciences is a measure of the ability of a porous material to allow fluids to pass through it, SI unit for permeability is m2. The permeability unit darcy $(~10^{-12} m^2 )$ is named in Henry Darcy honour.

 

3. The viscosity of a fluid is a measure of its resistance to gradual deformation by shear stress or tensile stress. For liquids, it corresponds to the informal concept of "thickness"; for example, honey has a much higher viscosity than water.

 

Both the physical unit of dynamic viscosity in SI units, the poiseuille (Pl), and cgs units, the poise (P), are named after Jean Léonard Marie Poiseuille. The poiseuille, which is rarely used, is equivalent to the pascal second (Pa·s), or (N·s)/m2, or kg/(m·s).

 

4. Hydraulic head or piezometric head is a specific measurement of liquid pressure above a geodetic datum. It is usually measured as a liquid surface elevation, expressed in units of length, at the entrance (or bottom) of a piezometer.

 

5.Transmissivity is a measure of how much water can be transmitted horizontally, such as to a pumping well.

An aquifer may consist of n soil layers. The transmissivity for the horizontal flow of Ti in the i-th soil layer with a saturated thickness di and horizontal hydraulic conductivity Ki is:

Ti= Ki di

Transmissivity is directly proportional to horizontal hydraulic conductivity Ki and thickness di. Expressing Ki in m/day and di in m, the transmissivity Ti is found in units m2/day.]


Reference:
2. http://qu.edu.iq/el/pluginfile.php/59583/mod_resource/content/1/Lect.15_Viscosity.pdf
3.https://www.brighthubengineering.com/hydraulics-civil-engineering/58490-darcys-law-for-modeling-groundwater-flow/


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