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What are the heat transfer mechanisms involved during heat transfer in a liquid-to-liquid heat exchanger from the hot to the cold fluid?

Short Answer

Expert verified
Answer: The main heat transfer mechanisms involved in a liquid-to-liquid heat exchanger are conduction and convection. Conduction occurs within the fluids and between the fluids and the walls of the heat exchanger, while convection takes place within both fluids as they flow through the heat exchanger driven by external forces. Radiation is typically not a significant factor in this process due to the lower temperatures involved.

Step by step solution

01

Identify the types of heat transfer mechanisms

There are three main types of heat transfer mechanisms: conduction, convection, and radiation. In order to understand the heat transfer in a liquid-to-liquid heat exchanger, we need to determine which of these mechanisms are involved.
02

Analyze the role of conduction in the heat exchanger

Conduction is the transfer of heat within a material or from one material to another, due to the vibration and movement of molecules within the material. In a liquid-to-liquid heat exchanger, conduction occurs within the two fluids and between the fluids and the walls of the heat exchanger. The heat moves through the fluids and the solid surfaces of the heat exchanger by the movement of the molecules, transferring heat from the hot fluid to the cold fluid.
03

Analyze the role of convection in the heat exchanger

Convection is the transfer of heat in a fluid by the movement of the fluid itself. It occurs when the heated fluid moves away from the heat source and is replaced by cooler fluid, which is then heated in turn. In a liquid-to-liquid heat exchanger, convection takes place within both the hot and cold fluids as they flow through the heat exchanger in separate channels. The hot fluid loses heat to the cold fluid through the process of forced convection, in which the fluids flow continuously driven by an external force like a pump.
04

Analyze the role of radiation in the heat exchanger

Radiation is the transfer of heat through the emission of electromagnetic waves. All materials emit radiation depending on their temperature. However, the temperature of the fluids in a liquid-to-liquid heat exchanger is typically not high enough to make radiation a significant heat transfer mechanism in this case. Thus, we can usually assume that radiation does not play a significant role in heat transfer in a liquid-to-liquid heat exchanger.
05

Summarize the heat transfer mechanisms involved in a liquid-to-liquid heat exchanger

In a liquid-to-liquid heat exchanger, the main heat transfer mechanisms involved are conduction and convection. Conduction transfers heat within the fluids and between the fluids and the walls of the heat exchanger. Convection occurs within both fluids as they flow through the heat exchanger, with forced convection being the most prominent process as the fluids move due to external forces. Radiation, while always present, is typically not a significant factor in heat transfer for liquid-to-liquid heat exchangers due to the lower temperatures involved.

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Most popular questions from this chapter

Geothermal water $\left(c_{p}=4250 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\( at \)75^{\circ} \mathrm{C}$ is to be used to heat fresh water \(\left(c_{p}=4180 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\right)\) at \(17^{\circ} \mathrm{C}\) at a rate of \(1.2 \mathrm{~kg} / \mathrm{s}\) in a double-pipe counterflow heat exchanger. The heat transfer surface area is $25 \mathrm{~m}^{2}\(, the overall heat transfer coefficient is \)480 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$, and the mass flow rate of geothermal water is larger than that of fresh water. If the effectiveness of the heat exchanger must be \(0.823\), determine the mass flow rate of geothermal water and the outlet temperatures of both fluids.

A one-shell-pass and eight-tube-passes heat exchanger is used to heat glycerin $\left(c_{p}=0.60 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\( from \)80^{\circ} \mathrm{F}\( to \)140^{\circ} \mathrm{F}$ by hot water $\left(c_{p}=1.0 \mathrm{Btu} / \mathrm{lbm} \cdot{ }^{\circ} \mathrm{F}\right)\( that enters the thin-walled \)0.5$-in-diameter tubes at \(175^{\circ} \mathrm{F}\) and leaves at \(120^{\circ} \mathrm{F}\). The total length of the tubes in the heat exchanger is \(400 \mathrm{ft}\). The convection heat transfer coefficient is $4 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{2}{ }^{\circ} \mathrm{F}\( on the glycerin (shell) side and \)50 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{2}{ }^{\circ} \mathrm{F}$ on the water (tube) side. Determine the rate of heat transfer in the heat exchanger \((a)\) before any fouling occurs and \((b)\) after fouling with a fouling factor of \(0.002 \mathrm{~h} \cdot \mathrm{ft}^{2}-\mathrm{F} / \mathrm{B}\) tu on the outer surfaces of the tubes.

A heat exchanger is used to condense steam coming off the turbine of a steam power plant by cold water from a nearby lake. The cold water $\left(c_{p}=4.18 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)$ enters the condenser at \(16^{\circ} \mathrm{C}\) at a rate of \(42 \mathrm{~kg} / \mathrm{s}\) and leaves at \(25^{\circ} \mathrm{C}\), while the steam condenses at $45^{\circ} \mathrm{C}$. The condenser is not insulated, and it is estimated that heat at a rate of \(8 \mathrm{~kW}\) is lost from the condenser to the surrounding air. The rate at which the steam condenses is (a) \(0.228 \mathrm{~kg} / \mathrm{s}\) (b) \(0.318 \mathrm{~kg} / \mathrm{s}\) (c) \(0.426 \mathrm{~kg} / \mathrm{s}\) (d) \(0.525 \mathrm{~kg} / \mathrm{s}\) (e) \(0.663 \mathrm{~kg} / \mathrm{s}\)

Hot oil \(\left(c_{p}=2.1 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\right)\) at \(110^{\circ} \mathrm{C}\) and \(12 \mathrm{~kg} / \mathrm{s}\) is to be cooled in a heat exchanger by cold water \(\left(c_{p}=4.18\right.\) $\mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K})\( entering at \)10^{\circ} \mathrm{C}$ and at a rate of \(2 \mathrm{~kg} / \mathrm{s}\). The lowest temperature that oil can be cooled in this heat exchanger is (a) \(10^{\circ} \mathrm{C}\) (b) \(24^{\circ} \mathrm{C}\) (c) \(47^{\circ} \mathrm{C}\) (d) \(61^{\circ} \mathrm{C}\) (e) \(77^{\circ} \mathrm{C}\)

How is the NTU of a heat exchanger defined? What does it represent? Is a heat exchanger with a very large NTU (say, 10 ) necessarily a good one to buy?

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