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The equation  constant is based on the following assumptions regarding the flow of fluid:
  • a)
    steady, frictionless, incompressible along a streamline
  • b)
    steady, frictionless,, uniform and along a streamline
  • c)
    steady, incompressible, uniform and along a streamline
  • d)
    steady, frictionless, incompressible and uniform
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The equationconstant is basedon the following assumptions regarding th...
The equation is Bernoulli’s equation. It is based on following assumptions:
(i) flow is steady
(ii) fluid is incompressible
(iii) fluid is. non-viscous since viscous force has been neglected; and
(iv) it is applicable to points along a streamline
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The equationconstant is basedon the following assumptions regarding th...
Explanation:

Assumptions:

The given equation,P/w V^2/2g Z = constant is based on the following assumptions regarding the flow of fluid:

a)steady, frictionless, incompressible along a streamline

b)steady, frictionless, uniform and along a streamline

c)steady, incompressible, uniform and along a streamline

d)steady, frictionless, incompressible and uniform

Answer:

The correct answer is option 'A' that is steady, frictionless, incompressible along a streamline.

Explanation:

The given equation P/w V^2/2g Z = constant is known as Bernoulli's equation, which describes the relationship between pressure, velocity, and height in a fluid flowing along a streamline. This equation is based on the following assumptions:

Steady:

The flow of fluid is steady, which means that the velocity and other properties of the fluid do not change with time.

Frictionless:

The flow of fluid is frictionless, which means that there is no energy loss due to friction between the fluid and the walls of the pipe or due to viscosity.

Incompressible:

The flow of fluid is incompressible, which means that the density of the fluid does not change with pressure or velocity.

Along a streamline:

The flow of fluid is along a streamline, which means that the fluid particles move in a straight line and do not cross each other's paths.

Out of the given options, the correct answer is option 'A' because it includes all the necessary assumptions required for Bernoulli's equation to hold true. The other options either miss one or more assumptions or include additional assumptions that are not required for this equation. Therefore, option 'A' is the correct answer.
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The equationconstant is basedon the following assumptions regarding the flow of fluid:a)steady, frictionless, incompressible along a streamlineb)steady, frictionless,, uniform and along a streamlinec)steady, incompressible, uniform and along a streamlined)steady, frictionless, incompressible and uniformCorrect answer is option 'A'. Can you explain this answer?
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