How Does Heat Flux Affect Steel's Internal Temperature After 30 Seconds?

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Discussion Overview

The discussion revolves around the effect of heat flux on the internal temperature of a large block of steel after a specified duration. It includes aspects of heat transfer theory and mathematical modeling related to transient heat conduction in materials.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • A participant presents a problem involving a steel block with given thermal properties and a specific heat flux, seeking to find the temperature at a certain depth after 30 seconds.
  • Another participant inquires about the methods attempted to solve the problem, indicating a collaborative approach to problem-solving.
  • A participant expresses uncertainty regarding the solution due to the absence of a convection coefficient, suggesting a gap in the information needed to proceed.
  • A later reply suggests consulting educational resources for equations that relate temperature to heat flux in semi-infinite media, implying that established methods may provide clarity.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on how to approach the problem, with some expressing uncertainty and others suggesting resources for further exploration. Multiple viewpoints on the necessary information and methods remain evident.

Contextual Notes

The discussion highlights limitations related to missing parameters, such as the convection coefficient, which may affect the ability to solve the problem accurately. There is also a dependence on specific definitions and equations that may not be universally agreed upon.

parrim2
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1. A large block of steel [k=45 W/m°C, alpha=1.4x10^-5 m2/s] is initially at a uniform temperature of 35 C. The surface is suddenly exposed to a constant heat flux of 3.2x10^5 W/m2 Find the temperature at a depth of 2.5 cm after 30 seconds has elapsed.
 
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How have you tried to solve the problem?
 
no i didn't know how to solve it without the convection coefficient
 
Then I'd recommend checking your lecture notes, textbook, handouts, or a reference like Incropera and DeWitt's Fundamentals of Heat and Mass Transfer for an equation relating temperature to heat flux for semi-infinite media.
 

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