Heat transfer forced convection problem

In summary, the conversation is about a flow of air at 27C and 1 atm in a 1c I.D pipe with a velocity of 2m/s. The task is to plot Tw, Tb, and qw as a function of distance x, given that Tw is changed or qw is imposed. Two cases are considered: a) when Tw is constant at 68.4 C, and b) when qw is constant at 378 w/m^2. The task also requires indicating x(et) on the graphs.
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Homework Statement


A flow of air at 27C and 1 atm is hydrodynamically fully developed in a 1c I.D pipe with uav=2m/s. Plot(to scale) Tw,Tb, qw as a function of the distance x after Tw is changed or qw is imposed.
a) in the case for which Tw=68.4 C = constant
b) in the case for which qw=378 w/m^2 = constant
Indicate x(et) on your graphs.


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The Attempt at a Solution

 
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1. What is forced convection?

Forced convection is a type of heat transfer that occurs when a fluid, such as air or water, is forced to move over a surface by an external source such as a fan or pump. This results in a higher rate of heat transfer compared to natural convection, where the fluid movement is caused by density differences due to temperature variations.

2. How does forced convection differ from natural convection?

Forced convection requires an external force, such as a fan or pump, to move the fluid while natural convection relies on density differences due to temperature variations. This means that forced convection can be controlled and manipulated more easily, whereas natural convection is dependent on the surrounding conditions.

3. What factors affect forced convection heat transfer?

The rate of heat transfer in forced convection is influenced by several factors, including the velocity of the fluid, the temperature difference between the fluid and the surface, the properties of the fluid, and the geometry and surface characteristics of the surface. Additionally, the type of flow (laminar or turbulent) and the presence of obstacles in the flow path can also affect the heat transfer rate.

4. How is forced convection heat transfer calculated?

The heat transfer rate in forced convection can be calculated using the following equation: Q = hA(Ts - Tf), where Q is the heat transfer rate, h is the convective heat transfer coefficient, A is the surface area, Ts is the surface temperature, and Tf is the fluid temperature. The convective heat transfer coefficient is dependent on the fluid properties, flow velocity, and surface characteristics.

5. What are some applications of forced convection heat transfer?

Forced convection is commonly used in various industries for cooling or heating purposes, such as in HVAC systems, refrigeration units, and heat exchangers. It is also utilized in processes that require precise temperature control, such as in chemical and food processing industries. Additionally, forced convection is important in the design of aircraft and automobiles for efficient cooling of engines and other components.

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