Calculating Volumetric Flow Rate and Power in a Fluid Mechanics System

In summary, the conversation is about a pipe with different bore diameters and pressure heads at two points. The distance between the points is 9m and there is a loss of head due to friction. The problem requires determining the volumetric flow rate and power dissipation due to friction.
  • #1
nickenrite
8
0
If anyone could give any help with this problem it would be much appreciated.

At A, a pipe has a bore(internal diameter) of 100mm and at B it is 150mm. The pressure head at A and B are 21m and 15m water coloumn respectively. There is no pump between A and B while the distance between A and B is 9m measured vertically. the loss of head due to friction between A and B is 2m water coloumn. Determine:

i) The volumetric flow rate through the system
ii) The power dissipated due to friction.

Thanks
 
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  • #2
Hi nickenrite! :wink:

Show us what you've tried on this pressure problem, and where you're stuck, and then we'll know how to help! :smile:
 

FAQ: Calculating Volumetric Flow Rate and Power in a Fluid Mechanics System

What is fluid mechanics?

Fluid mechanics is the branch of physics that deals with the study of fluids (liquids and gases) in motion and at rest. It involves understanding the behavior of fluids under different conditions, such as pressure, temperature, and velocity.

What are the applications of fluid mechanics?

Fluid mechanics has various practical applications in everyday life, such as in the design of airplanes, cars, and ships. It is also used in the design and analysis of pipelines, pumps, and turbines. In addition, fluid mechanics plays a crucial role in weather forecasting, oceanography, and environmental studies.

What are the fundamental principles of fluid mechanics?

The fundamental principles of fluid mechanics include continuity, momentum, and energy equations. The continuity equation states that the mass of a fluid is conserved, while the momentum equation describes the relationship between the forces acting on a fluid and its resulting motion. The energy equation relates the changes in energy due to work, heat transfer, and potential and kinetic energies of the fluid.

What is the difference between a Newtonian and non-Newtonian fluid?

A Newtonian fluid is one that follows Newton's laws of motion, which states that the shear stress in a fluid is directly proportional to its rate of deformation. Examples of Newtonian fluids include water, air, and most oils. On the other hand, a non-Newtonian fluid does not follow these laws and exhibits complex behavior, such as changing viscosity under different conditions. Examples of non-Newtonian fluids include ketchup, toothpaste, and blood.

How is fluid mechanics related to other branches of physics?

Fluid mechanics is closely related to other branches of physics, such as thermodynamics, electromagnetism, and solid mechanics. Thermodynamics deals with the energy transfer and conversion in fluids, while electromagnetism is crucial in understanding the behavior of charged particles in fluids. Solid mechanics is also closely related, as it helps in the analysis of forces and stresses on the boundaries of fluids.

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