Home Work P.2.1 Show, by dimensional analysis, that the power (P) developed by a hydraulic turbine is given by; P = (p N³ D³) ƒ [( N² D² g H where (p) is the fluid density, (N) is speed of rotation in r.p.m., (D) is the diameter of runner, (H) is the working head, and (g) is the gravitational acceleration. P.2.2 The resistance (R) experienced by a partially submerged body depends upon the velocity (u), length of the body (L), dynamic viscosity (µ) and density (p) of the fluid, and gravitational acceleration (g). Obtain a dimensionless expression for (R). μ Ans. R= (u²Ľ p) f uLg -)*(- u' P.2.3 Using Rayleigh's method to determine the rational formula for discharge (Q) through a sharp-edged orifice freely into the atmosphere in terms of head (h), diameter (d), density (p), dynamic viscosity (μ), and gravitational acceleration (g). μ h Ans. Q=(d 3 pd² g2
Home Work P.2.1 Show, by dimensional analysis, that the power (P) developed by a hydraulic turbine is given by; P = (p N³ D³) ƒ [( N² D² g H where (p) is the fluid density, (N) is speed of rotation in r.p.m., (D) is the diameter of runner, (H) is the working head, and (g) is the gravitational acceleration. P.2.2 The resistance (R) experienced by a partially submerged body depends upon the velocity (u), length of the body (L), dynamic viscosity (µ) and density (p) of the fluid, and gravitational acceleration (g). Obtain a dimensionless expression for (R). μ Ans. R= (u²Ľ p) f uLg -)*(- u' P.2.3 Using Rayleigh's method to determine the rational formula for discharge (Q) through a sharp-edged orifice freely into the atmosphere in terms of head (h), diameter (d), density (p), dynamic viscosity (μ), and gravitational acceleration (g). μ h Ans. Q=(d 3 pd² g2
Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.14P
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Transcribed Image Text:Home Work
P.2.1
Show, by dimensional analysis, that the power (P) developed by a hydraulic
turbine is given by;
P = (p N³ D³) ƒ [(
N² D²
g H
where (p) is the fluid density, (N)
is speed of rotation in r.p.m., (D) is the diameter of runner, (H) is the working head, and
(g) is the gravitational acceleration.
P.2.2
The resistance (R) experienced by a partially submerged body depends upon the
velocity (u), length of the body (L), dynamic viscosity (µ) and density (p) of the fluid,
and gravitational acceleration (g). Obtain a dimensionless expression for (R).
μ
Ans. R= (u²Ľ p) f
uLg
-)*(-
u'
P.2.3
Using Rayleigh's method to determine the rational formula for discharge (Q)
through a sharp-edged orifice freely into the atmosphere in terms of head (h), diameter
(d), density (p), dynamic viscosity (μ), and gravitational acceleration (g).
μ
h
Ans. Q=(d
3
pd² g2
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