Under what conditions does natural convection enhance forced convection, and under what conditions does it hurt forced convection?

Short Answer

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Answer: Natural convection enhances forced convection when the fluid's thermal properties and flow patterns are favorable for natural convection, such as high temperature differences between surface and surrounding fluid, high thermal expansion coefficient, low viscosity, and favorable geometry (e.g. vertical surfaces aligned with buoyancy-driven flow). In contrast, natural convection hurts forced convection when conditions are not favorable for natural convection, such as low temperature differences, low thermal expansion coefficient, high viscosity, and unfavorable geometry (e.g. horizontal surfaces not aligned with buoyancy-driven flow, which creates opposing flow patterns).

Step by step solution

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1. Understanding Natural and Forced Convection

Natural convection is a heat transfer process that occurs due to the natural movement of fluid, resulting from density differences caused by temperature variations in the fluid. This process relies solely on buoyancy forces without any externally applied forces. On the other hand, forced convection involves the heat transfer process in which fluid is forced to flow over a surface or through a tube by an external force like a fan or a pump.
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2. Analyzing Heat Transfer Processes

To determine under which conditions natural convection enhances or hurts forced convection, we need to analyze their heat transfer processes. The heat transfer for both natural and forced convection can be given by the following equation: Q = hA(T_s - T_inf), where Q is the heat transfer rate, h is the heat transfer coefficient, A is the surface area, T_s is the surface temperature, and T_inf is the temperature of the surrounding fluid. The heat transfer coefficient, h, depends on the specific convection type, fluid properties, flow velocity and geometry of the system. Comparing the heat transfer coefficient for natural and forced convection will give us an idea of whether natural convection enhances or hurts the forced convection process.
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3. Conditions for Enhancement

Natural convection can enhance forced convection when its heat transfer coefficient is high enough to supplement the forced convection process. This usually occurs when the fluid's thermal properties and flow patterns in the system are favorable for natural convection. The conditions that enhance forced convection are typically: 1. High temperature differences between the surface and the surrounding fluid. 2. Fluid properties like high thermal expansion coefficient and low viscosity. 3. Favorable geometry, such as vertical surfaces aligned with buoyancy-driven flow.
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4. Conditions for Deterioration

Natural convection can hurt forced convection when its heat transfer coefficient is low, and the flow patterns interfere with the forced convection process. This can occur when the fluid's thermal properties and flow patterns in the system are not favorable for natural convection. The conditions that hurt forced convection are typically: 1. Low temperature differences between the surface and the surrounding fluid. 2. Fluid properties like low thermal expansion coefficient and high viscosity. 3. Unfavorable geometry, such as horizontal surfaces not aligned with buoyancy-driven flow, which creates opposing flow patterns. In summary, natural convection can either enhance or hurt forced convection depending upon the conditions present, including temperature difference, fluid properties, and system geometry. For enhancement, the conditions should favor buoyancy-driven flow, while for deterioration, the conditions should not favor buoyancy and may result in opposing flow patterns.

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Most popular questions from this chapter

Consider an industrial furnace that resembles a 13 -ft-long horizontal cylindrical enclosure \(8 \mathrm{ft}\) in diameter whose end surfaces are well insulated. The furnace burns natural gas at a rate of 48 therms/h. The combustion efficiency of the furnace is 82 percent (i.e., 18 percent of the chemical energy of the fuel is lost through the flue gases as a result of incomplete combustion and the flue gases leaving the furnace at high temperature). If the heat loss from the outer surfaces of the furnace by natural convection and radiation is not to exceed 1 percent of the heat generated inside, determine the highest allowable surface temperature of the furnace. Assume the air and wall surface temperature of the room to be \(75^{\circ} \mathrm{F}\), and take the emissivity of the outer surface of the furnace to be \(0.85\). If the cost of natural gas is \(\$ 1.15 /\) therm and the furnace operates \(2800 \mathrm{~h}\) per year, determine the annual cost of this heat loss to the plant. Evaluate properties of air at a film temperature of \(107.5^{\circ} \mathrm{F}\) and \(1 \mathrm{~atm}\) pressure. Is this a good assumption?

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A vertical \(1.5\)-m-high and \(3.0\)-m-wide enclosure consists of two surfaces separated by a \(0.4-\mathrm{m}\) air gap at atmospheric pressure. If the surface temperatures across the air gap are measured to be \(280 \mathrm{~K}\) and \(336 \mathrm{~K}\) and the surface emissivities to be \(0.15\) and \(0.90\), determine the fraction of heat transferred through the enclosure by radiation. Answer: \(0.30\)

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