Reducing thermal resistance: Which choice correctly lists actions that reduce resistance in conduction, convection, and radiation?
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AIn conduction: reduce thickness and increase thermal conductivity k
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BIn convection: stir the fluid and clean/brighten the heating surface to increase h
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CIn radiation: increase surface emissivity and/or increase surface temperature
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DAll of the above
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ENone of the above
Answer
Correct Answer: All of the above
Explanation
Introduction / Context:Overall thermal resistance is the sum or combination of resistances from conduction, convection, and radiation. Reducing resistance increases heat transfer rate for a given temperature difference. This question checks practical levers for each mode.
Given Data / Assumptions:
- Steady heat transfer across a composite path.
- Classical definitions: R_cond = L/(kA); R_conv = 1/(hA); radiation treated via an effective h_rad proportional to emissivity and temperature.
- Area A is considered fixed for comparison.
Concept / Approach:To reduce conduction resistance, increase k or decrease thickness L. To reduce convection resistance, raise the convection coefficient h by increasing fluid velocity, turbulence, or cleaning surfaces. For radiation, increasing emissivity and operating temperature raises the effective radiative heat transfer coefficient, thereby lowering the associated “resistance.”
Step-by-Step Solution:Conduction: R_cond = L/(kA) → lower L and/or higher k reduce R.Convection: R_conv = 1/(hA) → higher h via stirring/forced flow/clean surfaces reduces R.Radiation: q_rad depends on emissivity and T; higher emissivity and higher T increase the effective h_rad, reducing resistance.
Verification / Alternative check:Compare heat transfer before and after modifications: increased h or k, or decreased L, yields higher q for the same Delta T, confirming reduced resistance.
Why Other Options Are Wrong:
- Options a, b, and c each capture a correct strategy. The most complete answer is to apply all of them where applicable.
- None of the above: contradicts standard heat transfer relations.
Common Pitfalls:Confusing radiation control for low-temperature systems where radiative contribution is small; at high temperatures, radiation dominates and emissivity changes have large effects.
Final Answer:All of the above