Fluid mechanics- bernoulli's equation help

In summary, the conversation discusses a simplified diagram of a camping stove used by a famous scientist up a mountain. The stove uses gas under pressure to flow through four nozzles, with a valve controlling the flowrate and reducing the delivery pressure to a maximum of 2 kPa gauge. The density of camping gas at atmospheric pressure is 2.686 kg m–3, and its calorific value on combustion is 126000 kJ m–3. The question asks for an estimation of the maximum volumetric flowrate and heat supply rate, making appropriate assumptions and ignoring friction losses. The use of Bernoulli's equation is suggested, but there is uncertainty about the inclusion of height and the need for assumptions.
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tweety1234
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Homework Statement




Figure 1.1. shows a simplified diagram of the camping stove used by a famous scientist up a mountain, in which gas under pressure is transported to the four nozzles via metal piping. A valve is used to control the flowrate by reducing the delivery pressure to a maximum of 2 kPa gauge. The diameter of each nozzle is 1 mm. The density of camping gas at atmospheric pressure is 2.686 kg m–3, and its calorific value on combustion is 126000 kJ m–3. Ignoring friction losses and making other appropriate assumptions, estimate the maximum volumetric flowrate of gas through the four nozzles if the valve is fully open, and hence the maximum rate of supply of heat.




I am really not sure how to do this question, am I suppose to use bernoulli's equation? What about height? Do I make an assumption on that?

any help appreciated.
 

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Homework Equations Bernoulli's equation P + 1/2ρv2 + ρgh = constant The Attempt at a Solution I am really not sure how to do this question, am I suppose to use bernoulli's equation? What about height? Do I make an assumption on that?
 

Related to Fluid mechanics- bernoulli's equation help

1. What is Bernoulli's equation?

Bernoulli's equation is a fundamental principle in fluid mechanics that describes the relationship between the pressure, velocity, and elevation of a fluid in motion. It states that as the speed of a fluid increases, its pressure decreases, and vice versa.

2. How is Bernoulli's equation derived?

Bernoulli's equation is derived from the principle of conservation of energy, which states that energy cannot be created or destroyed, but can only be transferred or converted from one form to another. In fluid mechanics, this principle is applied to the energy of a fluid in motion, which is a combination of its kinetic energy (due to its motion) and potential energy (due to its position in a gravitational field).

3. What is the significance of Bernoulli's equation?

Bernoulli's equation is important in understanding the behavior of fluids, such as air and water, in various applications, including aerodynamics, hydrodynamics, and piping systems. It allows engineers to predict the pressure and velocity of a fluid at different points in a system and design efficient and safe structures and devices.

4. What are the assumptions made in Bernoulli's equation?

Bernoulli's equation is based on the assumptions that the fluid is incompressible (its density does not change), inviscid (no internal friction), and steady (the flow is not changing with time). It also assumes that there is no external work being done on the fluid, and that the fluid is flowing along a streamline (a path that is tangent to the velocity vector at every point).

5. Can Bernoulli's equation be applied to all fluids?

Bernoulli's equation can be applied to most fluids, as long as the assumptions mentioned above are valid. However, it may not accurately describe the behavior of highly viscous or compressible fluids, such as honey or air at high speeds. In such cases, modifications or other equations may be necessary to accurately predict the fluid's behavior.

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