# Fluid going through pipe: what is the influence of speed on exchanging heat?

• rumborak
In summary, flow speed has an influence on the amount of heat transferred through a metal pipe.Increasing the flow speed decreases the amount of heat transferred, but this is offset by the increased transfer volume.
rumborak
I'm doing a fun home project, and it involves water flowing through a metal pipe, where the surrounding is significantly lower temperature than the water in the pipe. The point of the exercise is to cool the water in the pipe as it flows through it.

The question is, what influence does flow speed have in the heat exchange? The extreme case is of course if it's flowing way too slow where the water is in equilibrium with the surrounding, meaning the overall heat transfer is impeded.

However, is there any downside to flowing too fast? My gut feeling is no, I suspect that from a certain speed on you transfer less heat per water volume, but it's offset by the increased transfer volume.

if you fix the geometry of the pipe and you increase the speed you may go from laminar flow to turbulent flow. Turbulent flow is more effective in exchanging heat

If you go very slow, then, if the objective is to lower the temperature of the water as much as possible as it goes through the pipe, this will give the minimum exit temperature. On the other hand, at very high water flow rate, even though the heat transfer coefficient is high, the amount of time available for heat transfer is very short so that, in the end, the water temperature won't change (that is, the shorter heat transfer time wins out over the higher heat transfer coefficient). The equation for quantifying all this is as follows:
$$T-T_0=(T_{in}-T_0)\exp{\left(-\frac{h\pi DL}{\dot{m}C_p}\right)}$$where ##\dot{m}## is the mass flow rate, Cp is the fluid heat capacity, and h is the heat transfer coefficient. h increases with mass flow rate, but the rate of change with ##\dot{m}## is less than the first power of ##\dot{m}## at all values of mass flow rate. So ##h/\dot{m}## always decreases with increasing ##\dot{m}##. This means that, as ##\dot{m}## increases, the amount that the water cools in passing through the pipe decreases, and, in the limit of very high mass flow rates, the temperature doesn't change from the inlet temperature at all (even with turbulent flow).

dRic2
Oh I'm sorry I didn't pay much attention to the question... I though you where asking about heat transfer in general. My comment is pretty useless and pointless. @Chestermiller is of course right

Chester is correct to the extent that the flow is consistently laminar, or consistently turbulent. In those situations, the amount of heat transferred is a simple function of the time required to transit the pipe.
But dRic2 does make an important observation: when the flow transitions from laminar to turbulent, the rate of heat transfer will jump considerably. Heat exchangers have been designed which deliberately itnroduce turbulence into the flow: https://www.sciencedirect.com/science/article/pii/S1290072915301794

## 1. What is the relationship between fluid speed and heat exchange in a pipe?

The speed of fluid flowing through a pipe has a direct influence on the rate of heat exchange. As the fluid's speed increases, so does the rate of heat transfer. This is because faster-moving fluid has a higher rate of energy transfer, leading to more efficient heat exchange.

## 2. How does the speed of fluid affect the temperature of the pipe walls?

The speed of fluid also affects the temperature of the pipe walls. As the fluid moves faster, it carries away more heat from the walls, resulting in a lower temperature. Conversely, slower-moving fluid will have less of an impact on the pipe walls' temperature.

## 3. Does the type of fluid affect the relationship between speed and heat exchange in a pipe?

Yes, the type of fluid does play a role in the relationship between speed and heat exchange. Different fluids have different thermal properties, such as specific heat and thermal conductivity, which can impact the rate of heat transfer. For example, water has a higher thermal conductivity than air, so it will exchange heat more quickly at the same speed.

## 4. Is there an optimal speed for heat exchange in a pipe?

Yes, there is an optimal speed for heat exchange in a pipe. This is known as the laminar flow regime, where the fluid flows in smooth, parallel layers. In this regime, the heat transfer is most efficient, and increasing the speed beyond this point may result in turbulence and decreased heat exchange.

## 5. How does the diameter of the pipe affect the relationship between speed and heat exchange?

The diameter of the pipe can also impact the relationship between speed and heat exchange. A larger diameter pipe allows for more fluid to flow through, resulting in a higher speed and potentially more efficient heat exchange. However, the thickness of the pipe walls and the type of fluid being used should also be considered when determining the optimal pipe diameter for heat exchange.

• Thermodynamics
Replies
14
Views
1K
• Thermodynamics
Replies
7
Views
853
• Engineering and Comp Sci Homework Help
Replies
22
Views
2K
• Engineering and Comp Sci Homework Help
Replies
56
Views
3K
• General Engineering
Replies
21
Views
2K
• Materials and Chemical Engineering
Replies
2
Views
2K
• General Engineering
Replies
25
Views
2K
• Mechanical Engineering
Replies
4
Views
2K
• Engineering and Comp Sci Homework Help
Replies
15
Views
2K
• Thermodynamics
Replies
1
Views
3K