Final answer:
The compressed air hoses on a concrete pumping system are used to transport the concrete to the desired location, and calculations from fluid mechanics are applied to determine hose resistance, concrete viscosity, and power supplied by the pump for efficient operation.
Step-by-step explanation:
The purpose of compressed air hoses on a concrete pumping system is to transport the concrete from the pump to the desired location. By understanding the properties and flow of concrete within these hoses, engineers can ensure efficient and safe operation of concrete pumps. Comprehension of concrete's behavior requires calculations involving concepts from fluid mechanics.
Resistance of the Hose
To calculate the resistance (R) of the hose, we can use the Hagen-Poiseuille equation which relates the flow rate (Q), the viscosity (η), the length of the pipe (L), and the radius (r) through the relation: R = ∈P/(Q), where ∈P represents the change in pressure.
Viscosity of the Concrete
Viscosity (η) can be calculated assuming laminar flow using the formula: η = (∈P × π × r^4)/(8 × L × Q).
Power Supplied by the Pump
The power supplied by the pump can be calculated by the formula: Power = ∈P × Q, given that the point of use is on the same level as the pump and neglecting the power required to increase the concrete's velocity. The power supply calculation factors in the efficiency of the pumping system and is crucial for designing the concrete delivery process.