How does a nozzle work (in a steam turbine)?

In summary, the convergent-divergent nozzle works by accelerating the flow of steam at high temperature and pressure through a narrowing section, known as the throat. This causes the pressure to drop and the velocity to increase. The diverging section then accelerates the flow even further, resulting in supersonic speeds. The pressure in the nozzle is not constant, but the total temperature remains constant due to conservation of energy. The nozzle does not do any work, and the decrease in pressure is due to the acceleration of the steam. The supersonic flow in the diverging section acts opposite to subsonic flow, with the area and density changing in opposite directions. The enthalpy decreases while reaching the throat due to the constant stagnation enthal
  • #1
spiky
9
0
Hello,

For sometime now I've been into electronics and i have forgotten most of my meager knowledge in thermodynamics. .

Could you explain how a convergent-divergent nozzle works ?

Steam at high temperature and high pressure but relatively low speed enters into the nozzle. Then why should the enthalpy decrease ? and how do i get high velocity but low pressure steam at the other end of the nozzle ?

Thanks.
 
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  • #2
Because the other end of the nozzle is connected to a low pressure environment?
 
  • #3
A nozzle does no work. The rule to remember is that the total temperature through the nozzle remains constant. So, what does the pressure distribution look like through the nozzle, especially when approaching the throat? That should help with what happens to the static enthalpy issue. Usually in these applications, total enthalpy is looked at, not static.

The pressure drops to a critical value at the throat at which point the nozzle chokes at the throat. Then, in a C-D nozzle, the pressure there can still drop because the flow is accelerating out the back in the diverging section (supersonic flow acts exactly opposite to sub sonic in this regard).
 
  • #4
Isn't this Bernouilli-principle-type fluid dynamics stuff rather than thermodynamics? Not sure myself, just asking.
 
  • #5
FredGarvin said:
A nozzle does no work. The rule to remember is that the total temperature through the nozzle remains constant. So, what does the pressure distribution look like through the nozzle, especially when approaching the throat? That should help with what happens to the static enthalpy issue. Usually in these applications, total enthalpy is looked at, not static.

The pressure drops to a critical value at the throat at which point the nozzle chokes at the throat. Then, in a C-D nozzle, the pressure there can still drop because the flow is accelerating out the back in the diverging section (supersonic flow acts exactly opposite to sub sonic in this regard).

thanks. temperature remains constant . ok. once the steam enters a c-d nozzle , the velocity of flow increases as the mass flow rate remains constant. .why is the pressure decreasing ?

Could you elaborate more on enthalpy , particularly how it decreases while reaching the throat ?

To make things easier for me, i think we can assume that sound speed has not been reached yet.

thanks gain
 
  • #6
FredGarvin said:
The pressure drops to a critical value at the throat at which point the nozzle chokes at the throat. Then, in a C-D nozzle, the pressure there can still drop because the flow is accelerating out the back in the diverging section (supersonic flow acts exactly opposite to sub sonic in this regard).

When the flow flows throw the nozzle, what force causes it to accelerate- If the pressure drops because the flow is accelerating, which force accelerates the flow?
 
  • #7
CaptainQuasar said:
Isn't this Bernouilli-principle-type fluid dynamics stuff rather than thermodynamics? Not sure myself, just asking.
Depends on the nozzle. If the pressure drops are large, then you have to deal with temperature change and thermodynamic properties of the fluid. If it's just a low pressure system like an air conditioner vent, yes.
 
  • #8
russ_watters said:
Depends on the nozzle. If the pressure drops are large, then you have to deal with temperature change and thermodynamic properties of the fluid. If it's just a low pressure system like an air conditioner vent, yes.

Oh, of course, I never thought of that. Wow, that's nuts. No wonder the guys who try to model the atmospheres of gas giants never get anywhere if they have to deal with storm pressure changes causing temperature changes, chemical reactions, enormous magnetic fields, and GR effects at the same time.
 
  • #9
In a convergent nozzle the fluid can reach only up to sonic velocity (which would be the speed of sound in that fluid, not in air, right?) at the narrowest point. Higher pressures won't lead to higher velocities. But since the fluid can also heat up, the temperature changes would result in a higher sonic velocity which would allow a higher speeds.
It is said that adding a divergent nozzle downstream to the narrowest part would lead to even higher velocities, if the fluid became sonic in the narrowest point. This is due to properties of super sonic fluids. But does anyone know why supersonic fluids act opposite to subsonic fluids, accelerating with expanding volume, not according to Bernoulli's principle?
Furthermore, why then to add a divergent nozzle, isn't the the open environment a (very) fast divergent nozzle, in fact?

Also, I do not fully understand what influences the outcome of PV=nRT. What processes results in heat loss or conservation, how do I ensure an isothermic process, etc. This is a general question, can anyone help?
 
  • #10
i think a divergent part is added so that steam expands along the axis of the nozzle and hence velocity further increases.

But in the convergert part , as steam approaches the throat why does the pressure drop( and the enthalpy drops , why ? ) ? logic tells me that the pressure should increase .
 
  • #11
The fluid speeds up and pressure drops to maintain conservation of mass, or the continuity equation. If you look at both continuity and Newton's second law for a particle along a streamline, you can eventually come up with the following two relationships:

[tex]\frac{d V}{V} = -\frac{dA}{A}\left[\frac{1}{1-M^2}\right][/tex]

[tex]\frac{d \rho}{\rho} = \frac{dA}{A}\left[\frac{M^2}{1-M^2}\right][/tex]

where
[tex]V[/tex] = velocity
[tex]\rho[/tex] = density
[tex]A[/tex] = flow area
[tex]M[/tex] = Mach number

So, if you notice that for subsonic flows (M<1), the area and the density changes follow each other and the velocity and area go opposite to each other. The exact opposite is true for supersonic flows (M>1). Just plug in some numbers to get a feel for it.

In terms of the enthalpy, you have to look at the constraint that for isentropic flow in a nozzle where no work is done on the fluid, the stagnation enthalpy is considered constant across the entire nozzle. Stagnation enthalpy is different from static enthalpy. Stagnation enthalpy is defined as:

[tex]h_o = h + \frac{V^2}{2}[/tex]

So for conservation of energy to hold true, then you can say

[tex]h_x - h_y = \frac{1}{2}(v_x - v_y)[/tex]

where:
[tex]h_o[/tex] = stagnation or flow enthalpy
[tex]h_x[/tex] and [tex]h_y[/tex] = entalpy and locations x and y along the nozzle
[tex]v_x[/tex] and [tex]v_y[/tex] = velocity at x and y locations

So you can say that the flow is trading its thermal content, i.e. enthalpy, for its kinetic energy, velocity.
 
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  • #12
ok . thanks
 

What is a nozzle and where is it located in a steam turbine?

A nozzle is a device that converts the thermal energy of steam into kinetic energy by accelerating the steam. In a steam turbine, the nozzle is typically located between the steam inlet and the first set of blades.

How does a nozzle work in a steam turbine?

The nozzle works by expanding the steam from a higher pressure and temperature into a lower pressure and temperature. This expansion causes the steam to accelerate, converting its thermal energy into kinetic energy. The high velocity steam then enters the blades of the turbine, causing them to rotate and generate power.

What is the purpose of a nozzle in a steam turbine?

The main purpose of a nozzle in a steam turbine is to increase the velocity of the steam, which in turn increases the kinetic energy and power output of the turbine. By expanding the steam in stages through multiple nozzles, the overall efficiency of the turbine can be increased.

How is the shape of a nozzle important in a steam turbine?

The shape of the nozzle is crucial in a steam turbine as it determines the rate of expansion and thus the velocity of the steam. A convergent nozzle, which has a narrowing cross-section, accelerates the steam more quickly, while a divergent nozzle, which widens, allows for a longer expansion and higher efficiency.

What factors affect the performance of a nozzle in a steam turbine?

The performance of a nozzle in a steam turbine is affected by several factors, including the shape of the nozzle, the pressure and temperature of the steam, and the size and design of the turbine. Additionally, the condition and maintenance of the nozzle and turbine can also impact its performance.

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