c) What is the temperature of the iron heating element at x=30mm (in ∘C)? Use the origin defined in the given diagram.d) At which position x (in mm) does the iron heating element experience its highest temperature?e) In this scenario outlined in this question (constant heat generation under steady-state, 1-D conditions), can the temperature distribution in the iron ever be linear? Yes or No? Justify your reasoning. The heating element of a clothes iron is 30mm thick, and has a thermal conductivity of 40W/mK.You can assume that the iron is at steady state. You are asked to assume that the volumetric heatgeneration rate in the iron is constant (but non-zero) because it is tumed on. Consider a 1-Dscenario of the heat diffusion equation and assume that the iron is one dimensional (its temperaturevaries only in the x direction). The side of the iron at x = 0mm is maintained at a constanttemperature of 200°C and is perfectly insulated. The side of the iron at x = 30mm is in contactwith cool air at a temperature of 20° C and experiences convection. The heat transfer coefficientbetween the side of the iron at = 30mm and ambient air is 40W/m²K. Don't forget to draw a"translated" version of this geometry on your written work submission, with each known conditionand location clearly labeled.30mm

Answered: c) What is the temperature of the iron…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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c) What is the temperature of the iron heating element at x=30mm (in ∘C)? Use the origin defined in the given diagram.

d) At which position x (in mm) does the iron heating element experience its highest temperature?

e) In this scenario outlined in this question (constant heat generation under steady-state, 1-D conditions), can the temperature distribution in the iron ever be linear? Yes or No? Justify your reasoning.

The heating element of a clothes iron is 30mm thick, and has a thermal conductivity of 40W/mK.
You can assume that the iron is at steady state. You are asked to assume that the volumetric heat
generation rate in the iron is constant (but non-zero) because it is tumed on. Consider a 1-D
scenario of the heat diffusion equation and assume that the iron is one dimensional (its temperature
varies only in the x direction). The side of the iron at x = 0mm is maintained at a constant
temperature of 200°C and is perfectly insulated. The side of the iron at x = 30mm is in contact
with cool air at a temperature of 20° C and experiences convection. The heat transfer coefficient
between the side of the iron at = 30mm and ambient air is 40W/m²K. Don't forget to draw a
"translated" version of this geometry on your written work submission, with each known condition
and location clearly labeled.
30mm

Expert Solution

Step 1

(c)

Write the given data.

$\begin{array}{rcl} Thickness of heating element, t & = & 30 mm \\ Thermal conductivity, k & = & 40 W / mK \\ T_{at x = 0} & = & 200 ° C \\ T_{\infty} & = & 20 ° C \\ Heat transfer coefficient for ambient air, h_{\infty} & = & 40 W / m^{2} K \end{array}$

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