Fluid and heat transfer in a hot water heater

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SUMMARY

This discussion focuses on fluid dynamics in a hot water heating system, specifically analyzing pressure changes and flow rates in pipes of varying diameters. The first problem involves calculating the pressure in a 2 cm pipe located 5 meters above a 4 cm pipe, using Bernoulli's equation and considering the initial pressure of 3 atm. The second problem addresses the flow rate at a faucet with a diameter of 0.84 cm, applying the principle of volume flow continuity (A1v1=A2v2) to determine the outflow from the basement pipe with a velocity of 0.8 m/s.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with the concept of volume flow continuity
  • Basic mathematical skills for pressure and flow calculations
NEXT STEPS
  • Study Bernoulli's equation applications in fluid mechanics
  • Learn about pressure drop calculations in piping systems
  • Explore the concept of flow rate and its significance in plumbing
  • Investigate the effects of pipe diameter on fluid velocity and pressure
USEFUL FOR

Engineers, HVAC professionals, and plumbing technicians who are involved in designing and optimizing hot water heating systems will benefit from this discussion.

Elvis
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Please help me with this :

1) Water circulates throughout a house in a hotwater heating system. The water is pumped at a speed of .7 m/s through a 4 cm diameter pipe in the basement under a pressure of 3 atm. What is the pressure, to the nearest N/m^2, in a 2 cm pipe on the second floor 5 meters above the basement?

2)If the basement pipe is 4 cm in diameter and the water velocity is .8 m/s, what is the flux of the outflow, to the nearest tenth, of a liter/s at a 0.84 cm diameter faucet on the second floor?
 
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Use the equation for volume flow continuity (A1v1=A2v2) and Bernoulli's equation.

Give it a shot and show us what you did.
 

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